Synthesis of nonlinear discrete control systems via time-delay affine Takagi-Sugeno fuzzy models

2005 ◽  
Vol 44 (2) ◽  
pp. 243-257 ◽  
Author(s):  
Wen-Jer Chang ◽  
Wei Chang
Keyword(s):  
Time Delay ◽  
Control Systems ◽  
Discrete Control ◽  
Fuzzy Models ◽  
Takagi Sugeno

scholarly journals A Control Approach Based on Observers of State and Uncertainty for a Class of Takagi–Sugeno Fuzzy Models

2021 ◽  
Vol 25 (3) ◽  
pp. 317-325
Author(s):  
Jun Zhao ◽  
Hugang Han ◽  
◽  
Keyword(s):  
Control System ◽  
Control Systems ◽  
Fuzzy Model ◽  
State Observer ◽  
The State ◽  
State Information ◽  
Control Approach ◽  
Fuzzy Models ◽  
Takagi Sugeno ◽  
Stable Control

Although the Takagi–Sugeno fuzzy model is effective for representing the dynamics of a plant to be controlled, two main questions arise when using it just as other models: 1) how to deal with the gap, which is referred to as uncertainty in this study, between the model and the concerned plant, and how to estimate the state information when it cannot be obtained directly, especially with the existence of uncertainty; 2) how to design a controller that guarantees a stable control system where only the estimated state is available and an uncertainty exists. While the existing studies cannot effectively observe the state and the resulting control systems can only be managed to be uniformly stable, this study first presents a state observer capable of precisely estimating the state regardless of the existence of uncertainty. Then, based on the state observer, an uncertainty observer is derived, which can track the trajectory of uncertainty whenever it occurs in a real system. Finally, a controller based on both observers is presented, which guarantees the asymptotic stability of the resulting control system.

H8fuzzy control for time‐delay affine Takagi‐Sugeno fuzzy models: An ILMI approach

2009 ◽  
Vol 32 (4) ◽  
pp. 501-512 ◽  
Author(s):  
Wen‐Jer Chang ◽  
Wei Chang ◽  
Cheung‐Chieh Ku
Keyword(s):  
Time Delay ◽  
Fuzzy Models ◽  
Takagi Sugeno

RobustH∞reliable control of time delay nonlinear systems via Takagi–Sugeno fuzzy models

2012 ◽  
Vol 45 (3) ◽  
pp. 667-681 ◽  
Author(s):  
H. Gassara ◽  
A. El Hajjaji ◽  
M. Kchaou ◽  
M. Chaabane
Keyword(s):  
Time Delay ◽  
Nonlinear Systems ◽  
Reliable Control ◽  
Fuzzy Models ◽  
Takagi Sugeno

scholarly journals Stable Fault Tolerant Controller Design for Takagi–Sugeno Fuzzy Model-Based Control Systems via Linear Matrix Inequalities: Three Conical Tank Case Study

Energies ◽  
2019 ◽  
Vol 12 (11) ◽  
pp. 2221 ◽  
Author(s):  
Himanshukumar R. Patel ◽  
Vipul A. Shah
Keyword(s):  
Nonlinear System ◽  
Nonlinear Systems ◽  
Control Systems ◽  
Linear Models ◽  
Fault Tolerant ◽  
Fuzzy Model ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Fuzzy Models ◽  
Takagi Sugeno

This paper deals with a methodical design approach of fault-tolerant controller that gives assurance for the the stabilization and acceptable control performance of the nonlinear systems which can be described by Takagi–Sugeno (T–S) fuzzy models. Takagi–Sugeno fuzzy model gives a unique edge that allows us to apply the traditional linear system theory for the investigation and blend of nonlinear systems by linear models in a different state space region. The overall fuzzy model of the nonlinear system is obtained by fuzzy combination of the all linear models. After that, based on this linear model, we employ parallel distributed compensation for designing linear controllers for each linear model. Also this paper reports of the T–S fuzzy system with less conservative stabilization condition which gives decent performance. However, the controller synthesis for nonlinear systems described by the T–S fuzzy model is a complicated task, which can be reduced to convex problems linking with linear matrix inequalities (LMIs). Further sufficient conservative stabilization conditions are represented by a set of LMIs for the Takagi–Sugeno fuzzy control systems, which can be solved by using MATLAB software. Two-rule T–S fuzzy model is used to describe the nonlinear system and this system demonstrated with proposed fault-tolerant control scheme. The proposed fault-tolerant controller implemented and validated on three interconnected conical tank system with two constraints in terms of faults, one issed to build the actuator and sond is system component (leak) respectively. The MATLAB Simulink platform with linear fuzzy models and an LMI Toolbox was used to solve the LMIs and determine the controller gains subject to the proposed design approach.

Application of Fuzzy H∞ Control via T–S Fuzzy Models for Nonlinear Time-Delay Systems

2003 ◽  
Vol 12 (02) ◽  
pp. 117-137 ◽  
Author(s):  
Feng-Hsiag Hsiao ◽  
Wei-Ling Chiang
Keyword(s):  
Time Delay ◽  
Fuzzy Controller ◽  
Controller Design ◽  
Direct Method ◽  
Delay System ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Fuzzy Controllers ◽  
Fuzzy Models ◽  
Takagi Sugeno

This paper deals with the problem of stability analysis and stabilization via Takagi-Sugeno (T-S) fuzzy models for nonlinear time-delay systems. First, Takagi-Sugeno (T-S) fuzzy models and some stability results are recalled. To design fuzzy controllers, nonlinear time-delay systems are represented by Takagi-Sugeno fuzzy models. The concept of parallel-distributed compensation (PDC) is employed to determine structures of fuzzy controllers from the T-S fuzzy models. LMI-based design problems are defined and employed to find feedback gains of fuzzy controller and common positive definite matrices P satisfying stability a delay-dependent stability criterion derived in terms of Lyapunov direct method. Based on the control scheme and this criterion, a fuzzy controller is then designed via the technique of PDC to stabilize the nonlinear time-delay system and the H∞ control performance is achieved in the mean time. Finally, the proposed controller design method is demonstrated through numerical simulations on the chaotic and resonant systems.

Robust fuzzy control for discrete perturbed time-delay affine Takagi-Sugeno fuzzy models

2011 ◽  
Vol 9 (1) ◽  
pp. 86-97 ◽  
Author(s):  
Wen-Jer Chang ◽  
Wei-Han Huang ◽  
Cheung-Chieh Ku
Keyword(s):  
Time Delay ◽  
Fuzzy Control ◽  
Fuzzy Models ◽  
Takagi Sugeno

AQM router design for TCP network via input constrained fuzzy control of time-delay affine Takagi–Sugeno fuzzy models

2012 ◽  
Vol 43 (12) ◽  
pp. 2297-2313 ◽  
Author(s):  
Wen-Jer Chang ◽  
Yu-Teh Meng ◽  
Kuo-Hui Tsai
Keyword(s):  
Time Delay ◽  
Fuzzy Control ◽  
Fuzzy Models ◽  
Tcp Network ◽  
Takagi Sugeno

scholarly journals Fault Tolerant Controller Design for a Faulty UAV Using Fuzzy Modeling Approach

2016 ◽  
Vol 2016 ◽  
pp. 1-13 ◽  
Author(s):  
Moshu Qian ◽  
Ke Xiong ◽  
Lili Wang ◽  
Zhongmin Qian
Keyword(s):  
Control Systems ◽  
Flight Control ◽  
Controller Design ◽  
Actuator Saturation ◽  
Fault Tolerant ◽  
Fuzzy Models ◽  
Tracking Controller ◽  
Unknown Disturbances ◽  
Aerial Vehicle ◽  
Takagi Sugeno

We address a fault tolerant control (FTC) issue about an unmanned aerial vehicle (UAV) under possible simultaneous actuator saturation and faults occurrence. Firstly, the Takagi-Sugeno fuzzy models representing nonlinear flight control systems (FCS) for an UAV with unknown disturbances and actuator saturation are established. Then, a normal H-infinity tracking controller is presented using an online estimator, which is introduced to weaken the saturation effect. Based on the normal tracking controller, we propose an adaptive fault tolerant tracking controller (FTTC) to solve actuator loss of effectiveness (LOE) fault problem. Compared with previous work, this approach developed in our research need not rely on any fault diagnosis unit and is easily applied in engineering. Finally, these results in simulation indicate the efficiency of our presented FTC scheme.

Absolute Stability Condition for T-S Fuzzy Lurie Control Systems with Time Delay

2011 ◽  
Vol 219-220 ◽  
pp. 1045-1048
Author(s):  
Xiao Xu Xia ◽  
Yong Wang
Keyword(s):  
Time Delay ◽  
Control Systems ◽  
Stability Condition ◽  
Stability Criterion ◽  
Absolute Stability ◽  
Numerical Example ◽  
New Class ◽  
Simulation Results ◽  
Delay Dependent ◽  
Takagi Sugeno

This paper is concerned with the absolute stability of a new class of Takagi-Sugeno (T-S) fuzzy Lurie control systems with time-delay in the state. By using novel techniques, a new delay-dependent absolute stability criterion described in the form of LMIs. Finally, a numerical example and its simulation results are provided to illustrate feasibility and effectiveness of the proposed result.

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