A Less Conservative Stability Condition of Time-Delay Systems with Polytopic Uncertainty

2013 ◽  
pp. 1-11
Author(s):  
Ai-Guo Wu ◽  
Qingqiang Lin ◽  
Yan-Ming Fu ◽  
Guang-Ren Duan
Keyword(s):  
Time Delay ◽  
Stability Condition ◽  
Delay Systems ◽  
Polytopic Uncertainty ◽  
Time Delay Systems

Parametric Absolute Stabilization for Interconnected Lurie Time-Delay Systems with Polytopic Uncertainty

2013 ◽  
Vol 16 (1) ◽  
pp. 225-232 ◽  
Author(s):  
Ning Chen ◽  
Yutian Liu ◽  
Bo Liu ◽  
Weihua Gui
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Polytopic Uncertainty ◽  
Time Delay Systems

RobustH2/H∞control for time-delay systems with polytopic uncertainty

2009 ◽  
Vol 11 (1) ◽  
pp. 11-20 ◽  
Author(s):  
Man Sun ◽  
Yingmin Jia ◽  
Junping Du ◽  
Fashan Yu
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Polytopic Uncertainty ◽  
Time Delay Systems

Robust H∞ Control of Time-Delay Systems

2013 ◽  
Vol 634-638 ◽  
pp. 3849-3852
Author(s):  
Man Sun
Keyword(s):  
Time Delay ◽  
State Feedback ◽  
Performance Criterion ◽  
Delay Systems ◽  
Linear Matrix ◽  
Polytopic Uncertainty ◽  
Time Delay Systems ◽  
Matrix Inequalities ◽  
Feedback Synthesis ◽  
Delay Dependent

In this paper, a delay-dependent H_infinity performance criterion which possess decoupling structure is derived for a class of time-delay systems. It is then extended to H_infinity state-feedback synthesis for time-delay systems with polytopic uncertainty. All the conditions are given in terms of the linear matrix inequalities (LMIs). Numerical examples illustrate the effectiveness of our methods.

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