Tracking control for switched time-varying delays systems with stabilizable and unstabilizable subsystems |
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| Authors: | Qing-Kui Li Jun Zhao Georgi M Dimirovski |
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| Institution: | 1. Key Laboratory of Integrated Automation of Process Industry, Ministry of Education; School of Information Science and Engineering, Northeastern University, Shenyang 110004, PR China;2. Department of Information Engineering, Research School of Information Sciences and Engineering, The Australian National University, Canberra ACT 0200, Australia;3. Department of Computer Engineering, Dogus University, Kadikoy, TR-34722, Istanbul, Turkey |
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| Abstract: | We investigate the tracking control problem for switched linear time-varying delays systems with stabilizable and unstabilizable subsystems. Sufficient conditions for the solvability of the tracking control problem are developed. The tracking control problem of a switched time-varying delays system with stabilizable and unstabilizable subsystems is solvable if the stabilizable and unstabilizable subsystems satisfy certain conditions and admissible switching law among them. Average dwell time approach and piecewise Lyapunov functional methods are utilized to the stability analysis and controller design. By introducing the integral controllers and free weighting matrix scheme, some restricted assumptions imposing on the switched systems are avoided. A simulation example shows the effectiveness of the proposed method. |
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