Stability and Control of Time-delay Systems

2012 ◽  
Vol 85 (4) ◽  
pp. 373-383 ◽  
Author(s):  
R. Sakthivel ◽  
K. Mathiyalagan ◽  
S. Marshal Anthoni

2003 ◽  
Vol 125 (2) ◽  
pp. 158-165 ◽  
Author(s):  
Keqin Gu ◽  
Silviu-Iulian Niculescu

This paper gives a broad overview of the stability and control of time-delay systems. Emphasis is on the more recent progress and engineering applications. Examples of practical problems, mathematical descriptions, stability and performance analysis, and feedback control are discussed.


Author(s):  
Yubao Hou ◽  
Jingding Gao

The stability and control of nonlinear time-delay systems of Takagi-Sugeno (T-S) fuzzy model are studied in this paper. The integral inequality of a free weight matrix is chosen to give a less conservative delay-dependent stability criterion in the form of linear matrix inequalities (LMIs). The premise mismatch strategy is applied, it is combined with Finsler lemma, a more flexible design method of fuzzy state feedback controller is proposed. This method does not require the controller and system to share the common premise membership function and the number of rules. The controller design strategy proposed in this paper can effectively solve the control problem of fuzzy systems when the number of state variables is not equal to the number of input variables (r≠c), or mi⁢(x⁢(t))≠hi⁢(x⁢(t)),i=1,2,…,r. Finally, two simulation examples are given to prove the advancement and effectiveness of the proposed theory.


2011 ◽  
Vol 58-60 ◽  
pp. 691-696
Author(s):  
Cheng Wang ◽  
Huan Bin Liu

This paper investigates the problems of delay-dependent passive analysis and control for uncertain stochastic systems with time-varying delay and norm-bounded parameters uncertainties. Delay-dependent stochastic passive condition for the uncertain stochastic time-delay systems is obtained based on Laypunov-Krasovkii functional approach. On the basis of this condition, a delay-dependent passive controller is presented. Sufficient condition for the existence of desired controller is formulated in terms of linear matrix inequality. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.


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