International Journal of Adaptive Control and Signal Processing

Article	Citations
Maximum likelihood hierarchical least squares‐based iterative identification for dual‐rate stochastic systems	147
Hierarchical recursive signal modeling for multifrequency signals based on discrete measured data	118
Iterative identification methods for a class of bilinear systems by using the particle filtering technique	110
Iterative parameter and order identification for fractional‐order nonlinear finite impulse response systems using the key term separation	107
Finite‐time adaptive control for nonlinear systems with uncertain parameters based on the command filters	100
Separable multi‐innovation stochastic gradient estimation algorithm for the nonlinear dynamic responses of systems	83
Hierarchical recursive least squares algorithms for Hammerstein nonlinear autoregressive output‐error systems	78
Iterative learning control for repetitive tasks with randomly varying trial lengths using successive projection	70
Two‐stage gradient‐based iterative algorithms for the fractional‐order nonlinear systems by using the hierarchical identification principle	70
Filtering‐based recursive least squares estimation approaches for multivariate equation‐error systems by using the multiinnovation theory	67
Auxiliary model‐based multi‐innovation recursive identification algorithms for an input nonlinear controlled autoregressive moving average system with variable‐gain nonlinearity	63
Fuzzy adaptive two‐bits‐triggered control for nonlinear uncertain system with input saturation and output constraint	58
Hybrid‐driven‐based fuzzy secure filtering for nonlinear parabolic partial differential equation systems with cyber attacks	54
Identification and U‐control of a state‐space system with time‐delay	52
A novel nonlinear optimization method for fitting a noisy Gaussian activation function	50
Adaptive neural network asymptotic tracking control for a class of stochastic nonlinear systems with unknown control gains and full state constraints	45
Adaptive output‐feedback stabilization in prescribed time for nonlinear systems with unknown parameters coupled with unmeasured states	38
Small‐gain technique‐based adaptive fuzzy command filtered control for uncertain nonlinear systems with unmodeled dynamics and disturbances	38
Control and synchronization of fractional‐order chaotic satellite systems using feedback and adaptive control techniques	37
Robust economic model predictive control of nonlinear networked control systems with communication delays	36
Stochastic average gradient algorithm for multirate FIR models with varying time delays using self‐organizing maps	34
Joint two‐stage multi‐innovation recursive least squares parameter and fractional‐order estimation algorithm for the fractional‐order input nonlinear output‐error autoregressive model	29
Composite adaptive finite‐time fuzzy control for switched nonlinear systems with preassigned performance	28
Disturbance observer‐based adaptive boundary iterative learning control for a rigid‐flexible manipulator with input backlash and endpoint constraint	28
Adaptive dynamic surface control of stochastic nonstrict‐feedback constrained nonlinear systems with input and state unmodeled dynamics	28

An adaptive fuzzy sliding‐mode control for regenerative braking system of electric vehicles	23
Design of disturbance observer based on adaptive‐neural control for large‐scale time‐delay systems in the presence of actuator fault and unknown dead zone	19
Experimental implementation of a novel scheduling algorithm for adaptive and modified P&O MPPT controller using fuzzy logic for WECS	19
Adaptive model predictive control with extended state observer for multi‐UAV formation flight	19
Adaptive sliding mode control with guaranteed performance based on monitoring and barrier functions	18
Adaptive multi‐dimensional Taylor network funnel control of a class of nonlinear systems with asymmetric input saturation	18
Nonfragile control design for consensus of semi‐Markov jumping multiagent systems with disturbances	17
Adaptive prescribed performance control for hydraulic system with disturbance compensation	16
Neural networks‐based adaptive finite‐time prescribed performance fault‐tolerant control of switched nonlinear systems	16
Gradient‐based recursive parameter estimation for a periodically nonuniformly sampled‐data Hammerstein–Wiener system based on the key‐term separation	15
Improving transient performance of discrete‐time model reference adaptive control architectures	14
dynoNet: A neural network architecture for learning dynamical systems	14
Adaptive dynamic programming for model‐free tracking of trajectories with time‐varying parameters	14
Adaptive event‐triggered consensus control of multi‐agent systems with prescribed performance and input quantization	14
Trajectory planning and tracking for four‐wheel steering vehicle based on differential flatness and active disturbance rejection controller	14
Data‐enabled extremum seeking: A cooperative concurrent learning‐based approach	13
The variable step‐sizeLMS/F algorithm using nonparametric method for adaptive system identification	13
Finite‐time and fixed‐time synchronization of fuzzy Clifford‐valued Cohen‐Grossberg neural networks with discontinuous activations and time‐varying delays	12
Hybrid neural network control for nonlinear continuous time systems with time delays and dead zone input	12
Adaptive fuzzy finite‐time fault‐tolerant control of nonlinear systems with state constraints and input quantization	12
Adaptive saturation compensation for strict‐feedback systems with unknown control coefficient and input saturation	12
Adaptive fuzzy dual‐performance fault‐tolerant control for interconnected nonlinear systems	12
Reinforcement learning based closed‐loop reference model adaptive flight control system design	12
Combined estimation of the parameters and states for a multivariable state‐space system in presence of colored noise	11
Finite‐time resilient control for networked control systems with multiple cyber‐attacks: Memory/adaptive event‐triggered scheme	11
Adaptive neural prescribed performance output feedback control of pure feedback nonlinear systems using disturbance observer	11
Quantized output feedback resilient control of uncertain systems under hybrid cyber attacks	11
The modified extended Kalman filter based recursive estimation for Wiener nonlinear systems with process noise and measurement noise	11
Recursive least squares estimation methods for a class of nonlinear systems based on non‐uniform sampling	11
Parameter estimation of fractional‐order Hammerstein state space system based on the extended Kalman filter	11
Identification of Wiener systems based on the variable forgetting factor multierror stochastic gradient and the key term separation	11
Adaptive command filtered control for switched multi‐input multi‐output nonlinear systems with hysteresis inputs	11
Wiener system identification by input injection method	11
Unbiased recursive least squares identification methods for a class of nonlinear systems with irregularly missing data	11
Discrete‐time modified repetitive sliding mode control for uncertain linear systems	10
Observer‐based adaptive neural network dynamic surface bipartite containment control for switched fractional order multi‐agent systems	10
Adaptive interconnection and damping assignment passivity‐based control for an underactuated cable‐driven robot	10
Adaptive yaw stability control by coordination of active steering and braking with an optimized lower‐level controller	10
Event‐triggered Kalman consensus filter for sensor networks with intermittent observations	10
Event‐triggered integral sliding mode control of Takagi‐Sugeno fuzzy stochastic systems	10
Second‐order optimization methods for time‐delay Autoregressive eXogenous models: Nature gradient descent method and its two modified methods	10
An integrated fault estimation and fault tolerant control method using H∞‐based adaptive observers	10
Experimental implementation of a novel model‐free adaptive fractional‐order sliding mode controller for a flexible‐link manipulator	9
Adaptive preview control with deck motion compensation for autonomous carrier landing of an aircraft	9
A network intrusion detection system in cloud computing environment using dragonfly improved invasive weed optimization integrated Shepard convolutional neural network	9
Full and reduced‐order H∞ filtering of Takagi–Sugeno fuzzy time‐varying delay systems: Input–output approach	9
Maximum likelihood based multi‐innovation stochastic gradient identification algorithms for bilinear stochastic systems with ARMA noise	9
Observer‐based finite time adaptive fault tolerant control for nonaffine nonlinear systems with actuator faults and disturbances	9
Finite‐time asynchronous control of linear time‐varying switched systems	9
Finite‐time state‐feedback stabilization of high‐order stochastic nonlinear systems with an asymmetric output constraint	9

Decomposition and composition modeling algorithms for control systems with colored noises	9
Luenberger‐type cubic observers for state estimation of linear systems	9
Expectation‐maximization algorithm for bilinear state‐space models with time‐varying delays under non‐Gaussian noise	9
Novel adaptive controller design for a class of switched nonlinear systems subject to input delay using multi‐dimensional Taylor network	9
Model free adaptive control design for a tilt trirotor unmanned aerial vehicle with quaternion feedback: Theory and implementation	9
Interval functional observers for time‐delay systems with additive disturbances	9
Adaptive global stabilization of chained‐form systems with multiple disturbance and strong nonlinear drifts	9
Adaptive control of feedforward nonlinear systems with uncertain time‐varying parameters and an unknown time‐varying delay in the input	8
Adaptive controller design for fixed‐time bipartite consensus of multi‐agent systems with disturbances	8
Suboptimal control for nonlinear slow‐fast coupled systems using reinforcement learning and Takagi–Sugeno fuzzy methods	8
Extremum seeking control of nonlinear dynamic systems using Lie bracket approximations	8
Quaternion‐based adaptive control for trajectory tracking of quadrotor unmanned aerial vehicles	8
Integral barrier Lyapunov function‐based adaptive fuzzy output feedback control for nonlinear delayed systems with time‐varying full‐state constraints	8
Adaptive hierarchical sliding mode controller for tower cranes based on finite time disturbance observer	8
Kernel center adaptation in the reproducing kernel Hilbert space embedding method	8
Adaptive fixed‐time tracking control for stochastic pure‐feedback nonlinear systems	8
Hierarchical iterative identification algorithms for a nonlinear system with dead‐zone and saturation nonlinearity based on the auxiliary model	8
Extremum seeking for unknown scalar maps in cascade with a class of parabolic partial differential equations	8
Adaptive actuator failure compensation for cooperative robotic manipulators with parameter uncertainties	8
Robust adaptive tracking control for nontriangular time‐delay nonlinear systems with input dead‐zone and multiple uncertainties	8
Memory‐based dynamic event‐triggered control for networked interval type‐2 fuzzy systems subject to DoS attacks	8
Distributed cooperative neural control of a class of nonlinear multi‐agent systems with unknown time‐varying control coefficient	7
Finite‐time adaptive fuzzy control for a class of output constrained nonlinear systems with dead‐zone	7
Synchronization of multi‐machine power systems under disturbances and measurement errors	7
Regulation‐triggered adaptive control of a hyperbolic PDE‐ODE model with boundary interconnections	7
Model‐free hierarchical control with fractional‐order sliding surface for multisection web machines	7
A solution to leader following of underactuated surface vessels with actuator magnitude and rate limits	7
Online optimal and adaptive integral tracking control for varying discrete‐time systems using reinforcement learning	7
Adaptive finite‐time consensus tracking control for nonlinear multiagent systems in nonstrict feedback form with full‐state constraints	7
Fixed‐time adaptive neural tracking control for a class of uncertain multi‐input and multi‐output nonlinear pure‐feedback systems	7
Finite‐time adaptive consensus of stochastic multi‐agent systems with node‐based and edge‐based adaptive law design methods	7
A globally stable practically implementable PI passivity‐based controller for switched power converters	7
Adaptive constraint control for flexible manipulator systems modeled by partial differential equations with dead‐zone input	7
Event‐triggered adaptive backstepping tracking control for a class of nonlinear fractional order systems	7
Adaptive fuzzy finite‐time decentralized control for large‐scale stochastic nonlinear systems	7
Observer‐based controller design for uncertain disturbed Takagi‐Sugeno fuzzy systems: A fuzzy wavelet neural network approach	7
Adaptive output feedback control for large‐scale time‐delay systems with output‐dependent uncertain growth rate	7
Decentralized adaptive formation control based on sliding mode strategy for a class of second‐order nonlinear unknown dynamic multi‐agent systems	7
A learning framework of modified deep recurrent neural network for classification and recognition of voice mood	7
Filtered multi‐innovation‐based iterative identification methods for multivariate equation‐error ARMA systems	7
Mission independent fault‐tolerant control of heterogeneous linear multiagent systems based on adaptive virtual actuator	7
Design of a vehicle height and body posture adjustment hybrid automaton of electronically controlled air suspension	7
Adaptive estimation of external fields in reproducing kernel Hilbert spaces	7
Finite‐time extremum seeking control for a class of unknown static maps	7
Stable adaptive identification of fully‐coupled second‐order 6 degree‐of‐freedom nonlinear plant models for underwater vehicles: Theory and experimental evaluation	7
An adaptive anti‐swing control for the helicopter slung‐load system based on trajectory planning and neural network	6
Design of a joint adaptive observer for a class of affine nonlinear sampled‐output system with unknown states and parameters	6
Robust fault estimation and fault‐tolerant tracking control for uncertain Takagi–Sugeno fuzzy systems: Application to single link manipulator	6
Adaptive fuzzy constraint control for switched nonlinear systems in nonstrict feedback form	6
Robust method to provide exponential convergence of model parameters solving linear time‐invariant plant identification problem	6
Adaptive fuzzy control for nontriangular form systems with time‐varying full‐state constraints	6
A simplified adaptive tracking control for nonlinear pure‐feedback systems with input delay and full‐state constraints	6
Robust fault‐tolerant attitude synchronization control for formation flying satellites	6
Discrete‐time prescribed performance controller based on affine data‐driven model	6
Modeling and adaptive controlling of cable‐drogue docking system for autonomous underwater vehicles	6
Newton‐based extremum seeking of higher‐derivative maps with time‐varying delays	6
Adaptive finite‐time tracking control for parameterized nonlinear systems with full state constraints	6
Adaptive fuzzy output feedback fault‐tolerant control of switched nonlinear systems with sensor and actuator faults	6
Adaptive neural containment control of nonstrict‐feedback multi‐agent systems with unmodeled dynamics	6
Finite‐time adaptive fuzzy command filtering control for stochastic nonlinear systems with input quantization	6
Fixed‐time synchronization for discontinuous delayed complex‐valued networks with semi‐Markovian switching and hybrid couplings via adaptive control	6
Fault diagnosis and fault‐tolerant control of uncertain network control systems	6
Energy‐efficient operation of indirect adiabatic data center cooling systems via Newton‐like phasor extremum seeking control	5
Adaptive observer design for nonlinear interconnected systems by the application of LaSalle's theorem	5
SDF‐based tracking control for state‐constrained nonholonomic systems with disturbances via relay switching control: Theory and experiment	5
Adaptive attitude control for spacecraft systems with sensor and actuator attacks	5
Adaptive neural tracking control for non‐affine switched systems with multiple time delays and actuator faults	5
Hybrid‐triggered fault detection filter design for networked Takagi–Sugeno fuzzy systems subject to persistent heavy noise disturbance	5
An experimental application of extremum seeking control to cultures of the microalgae Scenedesmus obliquus in a continuous photobioreactor	5
Asymmetric time‐varying BLF‐based model‐free hybrid force/position control for SEA‐based 2‐DOF manipulator	5
Moving horizon estimation: Open problems, theoretical progress, and new application perspectives	5
Parameter identification for Wiener‐finite impulse response system with output data of missing completely at random mechanism and time delay	5
Asymptotic consensus via switching adaptive for nonlinear multi‐agent systems subject to atypical disturbances	5
Stochastic analysis of the diffusion least mean square and normalized least mean square algorithms for cyclostationary white Gaussian and non‐Gaussian inputs	5
Fuzzy approximation‐based adaptive control of nonstrict feedback stochastic nonlinear systems with time‐varying state constraints	5
An adaptive improved unsaturated bistable stochastic resonance method based on weak signal detection	5
Adaptive fixed‐time fuzzy control for nonlinear systems with actuator faults	5
A hybrid robust model reference adaptive controller and proportional integral controller without reference model for partially modeled systems	5
An adaptive dynamic surface control of output constrained stochastic nonlinear systems with unknown control directions	5
Wind turbine emulator control improvement using nonlinear PI controller for wind energy conversion system: Design and real‐time implementation	5

Adaptive stabilization of state‐constrained uncertain nonholonomic system via dynamic surface control	5
Robust adaptive dynamic surface control scheme for a class of single‐input and single‐output uncertain nonlinear systems in strict‐feedback form	5
Adaptive fuzzy finite‐time consensus tracking for multiple Euler‐Lagrange systems with unknown control directions	5
An adaptive feedback linearized model predictive controller design for a nonlinear multi‐input multi‐output system	5
Adaptive integral‐type terminal sliding mode control: Application to trajectory tracking for mobile robot	5
Distributed stubborn‐set‐membership filtering with a dynamic event‐based scheme: The Takagi‐Sugeno fuzzy framework	5
Identification of series–parallel systems composed of linear and nonlinear blocks	5
Finite‐time asynchronous dissipative filtering for Markovian jump systems with time‐varying delays and randomly occurred nonlinearity	5
Adaptive cross backstepping control for a class of nonstrict feedback nonlinear systems with partial state constraints	4
Decentralized adaptive terminal sliding mode control design for nonlinear connected system in the presence of external disturbance	4
Command filter‐based adaptive neural network controller design for uncertain nonsmooth nonlinear systems with output constraint	4
Hierarchical structure‐based adaptive fault‐tolerant consensus control for multiple 3‐DOF laboratory helicopters	4
On key properties of the Lion's and Kreisselmeier's adaptation algorithms	4
Adaptive robust output feedback control for attitude tracking of quadrotor unmanned aerial vehicles	4
Robust nonlinear adaptation algorithms for multitask prediction networks	4
Pinning and self‐adaptive control to the couple‐group consensus of heterogeneous fractional multi‐agent systems with cooperative‐competitive relation	4
Distributed H∞ fuzzy filtering for nonlinear systems interconnected over graphs	4
Improved ICA algorithm for ECG feature extraction and R‐peak detection	4
Robust adaptive control of steer‐by‐wire systems under unknown state‐dependent uncertainties	4
Adaptive parallel fractional sliding mode control	4
Immersion and invariance adaptive decentralized control for the speed and tension system of the reversible cold strip rolling mill	4
Tracking controllers of nonlinear output‐constrained surface ships subjected to external disturbances	4
Iterative learning control for impulsive fractional order time‐delay systems with nonpermutable constant coefficient matrices	4
Time‐varying nonsingular terminal sliding mode control for uncertain second‐order nonlinear systems with prespecified time	4
Finite‐time adaptive fuzzy consensus control for nonlinear multi‐agent systems under switching‐directed topologies	4
Maximum likelihood‐based adaptive differential evolution identification algorithm for multivariable systems in the state‐space form	4
Adaptive fuzzy finite‐time quantized control for stochastic nonlinear systems with full state constraints	4
Fixed‐time fault tolerant control for a class of switched nonlinear systems	4
Fast finite‐time adaptive fuzzy control for quantized stochastic uncertain nonlinear systems	4
Adaptive practical fixed‐time tracking control for uncertain non‐strict‐feedback systems with input delay and prescribed boundary constraints	4
Output feedback tracking control for rigid body attitude via immersion and invariance angular velocity observers	4
Attack‐resilient pitch angle control for variable‐speed wind turbine systems under cyber threats	4
Single trial estimation of event‐related potential components using spatiotemporal filtering and artificial bee colony optimized Gaussian kernel mixture model	4
Input‐to‐state learning of recurrent neural networks with delay and disturbance	4
Adaptive fault‐tolerant decentralized tracking control of switched stochastic uncertain nonlinear systems with time‐varying delay	4
Decentralized optimal tracking control for large‐scale nonlinear systems with tracking error constraints	4
Dynamical system learning using extreme learning machines with safety and stability guarantees	4
H∞ filtering of discrete‐time interconnected systems with failed interconnections	4
Event‐triggered mean square consensus of linear multiagent systems with measurement noises	4
Reduced‐order functional observers for descriptor linear time‐invariant systems: a parametric method	3
Adaptive event‐triggered fault detection for nonlinear networked systems in finite‐frequency domain under stochastic cyber‐attacks	3
Nonlinear partial differential equation modeling and adaptive fault‐tolerant vibration control of flexible rotatable manipulator in three‐dimensional space	3
Platoon of uncertain unmanned surface vehicle teams subject to stochastic environmental loads	3
Intermediate estimator‐based bipartite tracking control for consensus of multi‐agent systems	3
Neuro‐adaptive practical prescribed‐time control for pure‐feedback nonlinear systems without accurate initial errors	3
Sampled‐data filter design for large‐scale interconnected systems with sensor fault and missing measurements	3
A modified filtered‐x least mean square/fourth algorithm using weighted reference signal for active noise control	3
Secure interval estimations for time‐varying delay interconnected systems using novel distributed functional observers	3
Exponential synchronization of quaternion‐valued memristor‐based neural networks with time‐varying delays	3
Adaptive control for synchronization of semi‐linear complex spatio‐temporal networks with time‐invariant coupling delay and time‐variant coupling delay	3
Finite difference based iterative learning control with initial state learning for a class of fractional order two‐dimensional continuous‐discrete linear systems	3
Fixed time synchronization of delayed chaotic neural networks by using active adaptive control	3
Output‐feedback boundary adaptive fault‐tolerant control for scalar hyperbolic partial differential equation systems with actuator faults	3
	3
Distributed resilient state estimation for nonlinear systems with randomly occurring communication delays and missing measurements	3
Finite‐time adaptive control for port‐controlled Hamiltonian systems with parametric perturbations	3
Observer‐based finite‐time passive control of discrete‐time switched nonlinear systems with time‐delay	3
Neural network‐based output synchronization control for multi‐actuator system	3
High angle of attack flight control based on switched prescribed performance	3
Event‐triggered adaptive fault‐tolerant vibration control for a flexible robotic manipulator based on the partial differential equation model	3
Frequency domain analysis of the mirror‐modified filtered‐x least mean squares algorithm with low ambient noise	3
New results on adaptive systems	3
Adaptive predefined‐time tracking control for high‐order strict‐feedback nonlinear systems with unknown mismatched disturbances	3
Uncertain disturbed systems: Robust H2‐OUFIR filtering under measurement errors	3
Overparameterized model parameter recovering with finite‐time convergence	3
Adaptive event‐triggered pinning synchronization control for complex networks with random saturation subject to hybrid cyber‐attacks	3
Adaptive fixed‐time fuzzy control for output constrained nonlinear systems with unknown virtual control coefficients based on event‐triggered mechanism	3
A novel adaptive event‐triggered scheme for network descriptor systems with randomly occurring uncertainties and nonlinearities	3
Reliable H∞ control for 2‐D discrete switched systems with state delays and actuator failures	3
Modeling and distributed adaptive fault‐tolerant vibration control for bridge beam with single‐parameter adaptive neural network	3
Fixed‐time fault‐tolerant control of uncertain MIMO switched interconnected systems subject to state delay, unknown control directions, and quantized nonlinear inputs	3
Robust observer design for a class of discrete‐time nonlinear singular systems with persistent disturbances	3
Adaptive fuzzy control for high‐order nonlinear systems with time‐varying full‐state constraints and input saturation	3
A singular perturbation based adaptive strategy for bounded controller design in feedback linearizable systems	3
Adaptive interconnection and damping assignment passivity‐based control for linearly parameterized discrete‐time port controlled Hamiltonian systems via I&I approach	3
Tracking control for flexible joint robots based on adaptive fuzzy compensation with uncertain parameters	3
Fully distributed containment of multiple‐input‐multiple‐output linear multi‐agent systems with multiple nonautonomous leaders	3
Non‐fragile state estimation for second‐order memristive neural networks with unbounded time‐varying delays	3
Finite‐time synchronization of multi‐weighted fractional‐order coupled neural networks with fixed and adaptive couplings	3
Output feedback control of stochastic nonlinear systems based on extended state observer	3
Neuro‐adaptive output‐feedback optimized stochastic control for the active suspension systems with state constraints	3
Weighted couple‐group consensus for a kind of discrete heterogeneous multiagent systems in cooperative–competitive networks based on self‐adaptive controller	3
Composite‐observer‐based adaptive robust control of electrical‐optical gyro‐stabilized platform with largely unknown modeling uncertainties and partial state feedback	3
Switched sampled output adaptive observer design for a class of switched nonlinearly parameterized systems under asynchronous switching	3
Event‐triggered distributed model predictive control scheme for temperature regulation in multi‐zone air conditioning systems with improved indoor thermal preference indicator	3
Adaptive finite‐time fault‐tolerant control for flexible‐joint robotic stochastic systems with input saturation and sensor fault	3
Adaptive time‐varying formation control for teleoperation system: A finite‐time approach	3
Extended‐state‐observer‐based dynamic surface control of flexible‐joint robot systems with input saturation	3
A multi‐tone central divided difference frequency tracker with adaptive process noise covariance tuning	3
Saturated observer‐based adaptive neural network leader‐following control of N tractors with n‐trailers with a guaranteed performance	3
Distributed Kalman filter for linear system with complex multi‐channel stochastic uncertain parameter and decoupled local filters	3
Impulsive adaptive pinning synchronization of Lur'e networks with cluster‐tree topology via parameters variation protocols	3
Robust integrated covariance intersection fusion Kalman estimators for networked systems with random measurement delays, multiplicative noises, and uncertain noise variances	3
Robust l2−l∞ dynamic output feedback control design for uncertain discrete‐time switched systems with random time‐varying delay	3
Adaptive prescribed performance tracking control for uncertain strict‐feedback Multiple Inputs and Multiple Outputs nonlinear systems based on generalized fuzzy hyperbolic model	3