Decentralized Guaranteed Cost Control for Uncertain Systems with Multiple Time Delays

2007 ◽  
Author(s):  
Xiaozhi Liu ◽  
Yinghua Yang ◽  
Shukai Qin ◽  
Xiaobo Chen
Keyword(s):  
Time Delays ◽  
Uncertain Systems ◽  
Cost Control ◽  
Guaranteed Cost Control ◽  
Multiple Time ◽  
Multiple Time Delays ◽  
Guaranteed Cost

Guaranteed Cost Control of Multiple-Time-Delay T-S Fuzzy Descriptor Systems

2012 ◽  
Vol 241-244 ◽  
pp. 1154-1158
Author(s):  
Yan Long Li ◽  
Zhong Lin Zhang ◽  
Wei Hua Tian ◽  
Yan Wang
Keyword(s):  
Cost Control ◽  
Sufficient Conditions ◽  
Guaranteed Cost Control ◽  
Descriptor Systems ◽  
Multiple Time ◽  
Quadratic Cost ◽  
Multiple Time Delays ◽  
Guaranteed Cost ◽  
Takagi Sugeno ◽  
Quadratic Cost Function

In this paper, we focus on the problem of guaranteed cost control for a class of nonlinear systems described by the Takagi-Sugeno (T-S ) fuzzy descriptor model with multiple time delays. A quadratic cost function is used as a guaranteed performance index. The descriptor type of Lyapunov-Krasovskii functional is employed to analyze the asymptotic stability and design the guaranteed cost controller. The sufficient conditions for the existence of the guaranteed cost controller are given in terms of LMIs. At last, an illustrative example is provided to show the effectiveness of the proposed method.

scholarly journals Stability and stabilizability of dynamical systems with multiple time-varying delays: delay-dependent criteria

2003 ◽  
Vol 2003 (4) ◽  
pp. 137-152 ◽  
Author(s):  
D. Mehdi ◽  
E. K. Boukas
Keyword(s):  
Time Delays ◽  
Uncertain Systems ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Multiple Time ◽  
Multiple Time Delays ◽  
The Stability ◽  
Delay Dependent ◽  
Bounded Uncertainties ◽  
Norm Bounded Uncertainties

This paper deals with the class of uncertain systems with multiple time delays. The stability and stabilizability of this class of systems are considered. Their robustness are also studied when the norm-bounded uncertainties are considered. Linear matrix inequality (LMIs) delay-dependent sufficient conditions for both stability and stabilizability and their robustness are established to check if a system of this class is stable and/or is stabilizable. Some numerical examples are provided to show the usefulness of the proposed results.

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