Membership Function, Time Delay-Dependent $\eta$-Exponential Stabilization of Positive Discrete Time Polynomial Fuzzy Model Control System

2021 ◽  
pp. 1-1
Author(s):  
Xiaomiao Li ◽  
Kamyar Merhan ◽  
Zhiyong Bao
Keyword(s):  
Control System ◽  
Time Delay ◽  
Membership Function ◽  
Discrete Time ◽  
Fuzzy Model ◽  
Exponential Stabilization ◽  
Model Control ◽  
Delay Dependent ◽  
Function Time

scholarly journals H∞Filtering for Discrete Markov Jump Singular Systems with Mode-Dependent Time Delay Based on T-S Fuzzy Model

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Cheng Gong ◽  
Yi Zeng
Keyword(s):  
Time Delay ◽  
Filter Design ◽  
Singular Systems ◽  
Fuzzy Model ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Delay Dependent ◽  
Jump Systems

This paper investigates theH∞filtering problem of discrete singular Markov jump systems (SMJSs) with mode-dependent time delay based on T-S fuzzy model. First, by Lyapunov-Krasovskii functional approach, a delay-dependent sufficient condition onH∞-disturbance attenuation is presented, in which both stability and prescribedH∞performance are required to be achieved for the filtering-error systems. Then, based on the condition, the delay-dependentH∞filter design scheme for SMJSs with mode-dependent time delay based on T-S fuzzy model is developed in term of linear matrix inequality (LMI). Finally, an example is given to illustrate the effectiveness of the result.

Fault Control for a Class of Nonlinear System with Input Delay

2012 ◽  
Vol 482-484 ◽  
pp. 1801-1804
Author(s):  
Yang Yu ◽  
Wei Wang
Keyword(s):  
Control System ◽  
Nonlinear System ◽  
State Feedback ◽  
Fuzzy Model ◽  
Lyapunov Theory ◽  
Feedback Controller ◽  
Input Delay ◽  
State Feedback Controller ◽  
The Stability ◽  
Delay Dependent

The paper studies fuzzy fault control for a class of nonlinear system with input delay based on T-S fuzzy model. The state feedback controller that ensures the stability of fuzzy tolerant control system is given via Lyapunov theory and derived in terms of LMI and the results are delay-dependent. Simulation examples are given to illustrate the effectiveness of the approach.

Delay-dependent stability analysis for discrete-time switched linear systems with parametric uncertainties

2017 ◽  
Vol 24 (20) ◽  
pp. 4921-4930 ◽  
Author(s):  
Nasrollah Azam Baleghi ◽  
Mohammad Hossein Shafiei
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Discrete Time ◽  
Upper Bound ◽  
Sufficient Conditions ◽  
Switched System ◽  
Parametric Uncertainties ◽  
Time Varying ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper studies the delay-dependent stability conditions for time-delay discrete-time switched systems. In the considered switched system, there are uncertain terms in each subsystem due to affine parametric uncertainties. Additionally, each subsystem has a time-varying state delay which adds more complexity to the stability analysis. Based on the Lyapunov functional approach, the sufficient conditions are extracted to determine the admissible upper bound of the time-varying delay for guaranteed stability. Furthermore, a class of switching signals is identified to guarantee the exponential stability of the uncertain time-delay switched system. The main advantage of the suggested switching signals is its independency to the uncertainties. Furthermore, these signals are only constrained by a determined average dwell time (may be chosen arbitrarily). Finally, a numerical example is provided to demonstrate the efficiency of the proposed method and also the reduction of conservatism in finding the admissible upper bound of time-delay in comparison with other stability analysis approaches.

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