Global exponential stabilization of language constrained switched linear discrete-time system based on the s-procedure approach

Song, Yang, Jin, Yunyun, Yan, Wang and Yang, Taicheng (2020) Global exponential stabilization of language constrained switched linear discrete-time system based on the s-procedure approach. 2019 IEEE 58th Conference on Decision and Control (CDC), Nice, France, 11th-13th December, 2019. Published in: 2019 IEEE 58th Conference on Decision and Control (CDC). IEEE ISSN 0743-1546 ISBN 9781728113999

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Abstract

This paper considers global exponential stabilization (GES) of switched linear discrete-time system under language constraint which is generated by non-deterministic finite state automata. A technique in linear matrix inequalities called S-procedure is employed to provide sufficient conditions of GES which are less conservative than the existing Lyapunov-Metzler condition. Moreover, by revising the construction of Lyapunov matrices and the corresponding switching control policy, a more flexible result is obtained such that stabilization path at each moment might be multiple. Finally, a numerical example is given to illustrate the effectiveness of the proposed results.

Item Type: Conference Proceedings
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Schools and Departments: School of Engineering and Informatics > Engineering and Design
Research Centres and Groups: Industrial Informatics and Signal Processing Research Group
Depositing User: Lucy Arnold
Date Deposited: 11 Sep 2019 14:05
Last Modified: 18 Feb 2022 11:53
URI: http://sro.sussex.ac.uk/id/eprint/86053

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