Dissipative analysis for nonlinear singular systems with time-delay

This paper is concerned with the dissipative control problem for a class of nonlinear singular systems with time-delay. The quadratic supply rate with coefficient matrix Q > 0 and Q ≤ 0 are both discussed. Based on the Lyapunov stability theory, sufficient conditions are given to guarantee that t...

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Bibliographic Details
Published inInternational journal of control, automation, and systems Vol. 15; no. 6; pp. 2461 - 2470
Main Authors Zhou, Juan, Zhang, Yue, Zhang, Qingling, Bo, Men
Format Journal Article
LanguageEnglish
Published Bucheon / Seoul Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers 01.12.2017
제어·로봇·시스템학회
Subjects
Control
Engineering
Mechatronics
Regular Papers
Robotics
제어계측공학
proportional and derivative feedback controller
singular systems
time-delay
Dissipative analysis
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Summary:This paper is concerned with the dissipative control problem for a class of nonlinear singular systems with time-delay. The quadratic supply rate with coefficient matrix Q > 0 and Q ≤ 0 are both discussed. Based on the Lyapunov stability theory, sufficient conditions are given to guarantee that the system is strictly dissipative via linear matrix inequality technique. Then congruent transformation method and Schur complement lemma are respectively used to determine corresponding proportional and derivative feedback controller for Q > 0 and Q ≤ 0. At last, two examples involve a practical example are given to verify the effectiveness of the method proposed in this paper.
Bibliography:http://link.springer.com/article/10.1007/s12555-016-0259-4
ISSN:1598-6446
2005-4092
DOI:10.1007/s12555-016-0259-4