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Tracking control for switched linear systems with time‐delay: a state‐dependent switching method |
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| Authors: | Qing‐Kui Li Jun Zhao Georgi M Dimirovski Xiang‐Jie Liu |
| Affiliation: | 1. Department of Automation, North China Electric Power University, Beijing, 102206, China;2. School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004, China;3. Key Laboratory of Integrated Automation of Process Industry (Northeastern University), Ministry of Education;4. Dogus University, Faculty of Engineering, Istanbul, TR‐34722, Turkey;5. SS Cyril and Methodius University, Faculty of FEIT, Skopje, MK‐1000, Macedonia |
| Abstract: | Tracking control for switched linear systems with time‐delay is investigated in this paper. Based on the state‐dependent switching method, sufficient conditions for the solvability of the tracking control problem are given. We use single Lyapunov function technique and a typical hysteresis switching law to design a tracking control law such that the H∞ model reference tracking performance is satisfied. The controller design problem can be solved efficiently by using linear matrices inequalities. Since convex combination techniques are used to derive the delay independent criteria, some subsystems are allowed to be unstable. It is highly desirable that a non‐switched time‐delay system can not earn such property. Simulation example shows the feasibility and validity of the switching control law. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society |
| Keywords: | Switched systems time‐delay systems tracking control state‐dependent switching method LMIs |