scholarly journals Robust stabilization of T-S fuzzy systems via improved integral inequality

2021 ◽  
Author(s):  
C. Karthik ◽  
G. Nagamani ◽  
Ramasamy Subramaniyam ◽  
Dafik
Keyword(s):  
Integral Inequality ◽  
Fuzzy Systems ◽  
Robust Stabilization

scholarly journals Robust Stabilization of T-S Fuzzy Systems via Improved Integral Inequality

2021 ◽  
Author(s):  
Karthik C ◽  
Nagamani G ◽  
Ramasamy Subramaniyam ◽  
Dafik D
Keyword(s):  
Integral Inequality ◽  
Fuzzy Systems ◽  
Robust Stabilization ◽  
Sufficient Conditions ◽  
Fuzzy Model ◽  
State Feedback Control ◽  
Linear Matrix ◽  
Continuous Stirred Tank Reactor ◽  
Control Gain ◽  
The Stability

Abstract This paper focuses on the state feedback control for uncertain nonlinear model, which can be denoted by Takagi - Sugeno (T-S) fuzzy model. We derive an improved integral inequality as a rearrangement of quadratic matrix-vector form combined with Jensen's inequality. By using this improved inequality, the sufficient conditions guaranteeing the stability of the resulting T-S fuzzy model have been proposed in terms of linear matrix inequalities. With respect to these stability conditions, the stabilization criterion is given for the T-S fuzzy systems with the prescribed control gain matrices. Finally, to check the feasibility and less conservatism of the derived results, numerical examples are given including the physical model such as continuous stirred tank reactor ( CSTR ) model supported by numerical simulations.

scholarly journals Improved Stabilization Conditions for Nonlinear Systems with Input and State Delays via T-S Fuzzy Model

2018 ◽  
Vol 2018 ◽  
pp. 1-14
Author(s):  
Chang Che ◽  
Jiayao Peng ◽  
Tao Zhao ◽  
Jian Xiao ◽  
Jie Zhou
Keyword(s):  
Nonlinear Systems ◽  
Integral Inequality ◽  
Fuzzy Systems ◽  
Fuzzy Model ◽  
State Feedback Control ◽  
Linear Matrix ◽  
Control Approach ◽  
State Delays ◽  
Lyapunov Stability Criterion ◽  
Takagi Sugeno

This paper focuses on the problem of nonlinear systems with input and state delays. The considered nonlinear systems are represented by Takagi-Sugeno (T-S) fuzzy model. A new state feedback control approach is introduced for T-S fuzzy systems with input delay and state delays. A new Lyapunov-Krasovskii functional is employed to derive less conservative stability conditions by incorporating a recently developed Wirtinger-based integral inequality. Based on the Lyapunov stability criterion, a series of linear matrix inequalities (LMIs) are obtained by using the slack variables and integral inequality, which guarantees the asymptotic stability of the closed-loop system. Several numerical examples are given to show the advantages of the proposed results.

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