Adaptive Fuzzy Controller Design for Time-delay Systems with Input Containing Sector Nonlinearities and Dead-zone

2006 ◽  
Author(s):  
Chung-Chun Kung ◽  
Ti-Hung Chen
Keyword(s):  
Time Delay ◽  
Fuzzy Controller ◽  
Controller Design ◽  
Dead Zone ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Adaptive Fuzzy Controller ◽  
Adaptive Fuzzy ◽  
Sector Nonlinearities

ROBUST ADAPTIVE FUZZY CONTROLLER DESIGN FOR A CLASS OF UNCERTAIN NONLINEAR TIME-DELAY SYSTEMS

2011 ◽  
Vol 19 (02) ◽  
pp. 329-360 ◽  
Author(s):  
YAN-JUN LIU ◽  
RUI WANG ◽  
C. L. PHILIP CHEN
Keyword(s):  
Time Delay ◽  
Fuzzy Controller ◽  
Control Technique ◽  
Delay Systems ◽  
Design Parameters ◽  
Time Delay Systems ◽  
Dynamic Surface ◽  
Adaptive Fuzzy Controller ◽  
Adaptive Fuzzy ◽  
Approximation Errors

In this paper, the problems of stability and control for a class of uncertain nonlinear systems with unknown state time-delay are studied by using the fuzzy logic systems. Because the dynamic surface control technique is introduced to deal with the uncertain time-delay systems, the designed adaptive fuzzy controller can avoid the issue of "explosion of complexity", which comes from the traditional backstepping design procedure. Compared with the existing results in the literature, the robustness to the fuzzy approximation errors is improved by adjusting the estimations of the unknown bounds for the approximation errors. It is shown that the resulting closed-loop system is stable in the sense that all the signals are bounded and the system output track the reference signal in a small neighborhood of the origin by choosing design parameters appropriately. Three simulation examples are given to demonstrate the effectiveness of the proposed techniques.

scholarly journals Study of adaptive Fuzzy Smith control for time-delay systems

2015 ◽  
Vol 18 (3) ◽  
pp. 143-149
Author(s):  
Tai Trong Nguyen ◽  
Thanh Van Dao
Keyword(s):  
Time Delay ◽  
Control Method ◽  
Fuzzy Controller ◽  
Smith Predictor ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Control Effect ◽  
Performance Simulation ◽  
Adaptive Fuzzy ◽  
Varying Time Delay

In this paper, an adaptive Fuzzy Smith control method is presented to control the varying time delay systems. Based on the online parameter estimation, Smith predictor can be updated online which can eliminate the time delay element. This method overcame the shortcomings that control effect of conventional Smith predictor will be worse when the parameters of time delay systems change. Furthermore, an adaptive fuzzy controller adjusts online the PID control parameters to improve the control performance. Simulation results show the effectiveness of the proposed method.

scholarly journals Adaptive Fuzzy Tracking Control for Uncertain Nonlinear Time-Delay Systems with Unknown Dead-Zone Input

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Chiang-Cheng Chiang
Keyword(s):  
Time Delay ◽  
Tracking Control ◽  
Dead Zone ◽  
Adaptive Fuzzy Control ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Gain Function ◽  
Nonlinear Gain ◽  
Adaptive Fuzzy ◽  
Robust Adaptive

The tracking control problem of uncertain nonlinear time-delay systems with unknown dead-zone input is tackled by a robust adaptive fuzzy control scheme. Because the nonlinear gain function and the uncertainties of the controlled system including matched and unmatched uncertainties are supposed to be unknown, fuzzy logic systems are employed to approximate the nonlinear gain function and the upper bounded functions of these uncertainties. Moreover, the upper bound of the uncertainty caused by the fuzzy modeling error is also estimated. According to these learning fuzzy models and some feasible adaptive laws, a robust adaptive fuzzy tracking controller is developed in this paper without constructing the dead-zone inverse. Based on the Lyapunov stability theorem, the proposed controller not only guarantees that the robust stability of the whole closed-loop system in the presence of uncertainties and unknown dead-zone input can be achieved, but it also obtains that the output tracking error can converge to a neighborhood of zero exponentially. Some simulation results are provided to demonstrate the effectiveness and performance of the proposed 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.

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