Robust Stabilization of Controlled Positive Switched Linear Systems by Output Feedback | Zendy

Jinjin Liu | Zendy; Ting Zhang | Zendy

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Robust Stabilization of Controlled Positive Switched Linear Systems by Output Feedback

Author(s) -

Jinjin Liu,

Ting Zhang

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/8783032

Subject(s) - control theory (sociology) , dwell time , bounded function , output feedback , interval (graph theory) , controller (irrigation) , linear system , linear programming , computer science , stability theory , mathematics , mathematical optimization , control (management) , nonlinear system , medicine , clinical psychology , mathematical analysis , physics , combinatorics , artificial intelligence , quantum mechanics , agronomy , biology

This study focuses on the controller synthesis issues for constrained switched linear systems with uncertainties under mode-dependent average dwell time (MDADT) switching strategy. First, output feedback controllers ensure that the closed-loop systems are positive and asymptotically stable. Second, the bounded controllers are acquired based on system states with interval and polytopic uncertainties. Also, the proposed approach can be applied to the systems with the constrained output. Then, the presented conditions can be formulated in terms of linear programming. Finally, illustrative example is provided to show the effectiveness of the theoretical results.

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