An efficient approach to stabilization for linear systems subject to output saturation

This paper studies the stabilization problem for controllable and observable linear systems subject to output saturation. An efficient approach to global asymptotical stabilization is proposed, where multiple output components can be collectively steered to escape from saturation. This differs from...

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Bibliographic Details
Published inAutomatica (Oxford) Vol. 152; p. 110968
Main Authors Xie, Pengfei, Liu, Wanquan
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.06.2023
Subjects
Deadbeat control
Globally asymptotically stable
Moore–Penrose inverse
Normal rank
Output saturation
Deadbeat control
Moore–Penrose inverse
Output saturation
Normal rank
Globally asymptotically stable
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Summary:This paper studies the stabilization problem for controllable and observable linear systems subject to output saturation. An efficient approach to global asymptotical stabilization is proposed, where multiple output components can be collectively steered to escape from saturation. This differs from previous approaches in which each output component is driven one by one. Sufficient conditions for collectively driving all output elements are presented in single-batch driven strategy. In the case of the above sufficient conditions not being satisfied, a multi-batch driven strategy is constructed to guarantee that each component is steered away from saturation at least once. Moreover, an algorithm is put forward for selecting controller parameters in the multi-batch driven case. Finally, numerical examples are given to demonstrate the effectiveness of the proposed methods.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2023.110968