Robust Finite-time Extended Dissipative Control for a Class of Uncertain Switched Delay Systems

• Published in: International journal of control, automation, and systems Vol. 16; no. 3; pp. 1459 - 1468
• Main Authors: Gao, Hui, Xia, Jianwei, Zhuang, Guangming
• Format: Journal Article
• Language: English
• Published: Bucheon / Seoul Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers 01.06.2018; Springer Nature B.V; 제어·로봇·시스템학회
• Subjects: Computer simulation; Constraint modelling; Control; Control systems; Engineering; Feedback linearization; Mechatronics; Predictive control; Random noise; Robotics; Robust control; Technical Notes and Correspondence; Time delay systems; Tracking control; Tracking errors; Tracking problem; Trajectory control; 제어계측공학; Average dwell-time; time delay; extended dissipative; finite-time; switch
• ISSN: 1598-6446; 2005-4092
• DOI: 10.1007/s12555-017-0393-7

This paper investigates the problem of finite-time extended dissipative analysis and control for a class of uncertain switched time delay systems, where the uncertainties satisfy the polytopic form. By using the average dwell-time and linear matrix inequality technique, some sufficient conditions are proposed to guarantee that the switched system is finite-time bounded and has finite-time extended dissipative performance, where the H ∞ , L 2 - L ∞ , Passivity and ( Q , S , R )-dissipativity performance can be solved simultaneously in a unified framework based on the concept of extended dissipative. Furthermore, a state feedback controller is presented to guarantee that the closed-loop system is finite-time bounded and satisfies the extended dissipative performance. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.