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L 1 ‐Gain Analysis and Control for Switched Positive Systems with Dwell Time Constraint
Author(s) -
Shen Jian,
Wang Weiqun
Publication year - 2018
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1702
Subject(s) - dwell time , control theory (sociology) , constraint (computer aided design) , controller (irrigation) , state (computer science) , property (philosophy) , lyapunov function , stability (learning theory) , mathematics , control (management) , computer science , mathematical optimization , nonlinear system , algorithm , physics , medicine , clinical psychology , philosophy , geometry , epistemology , quantum mechanics , artificial intelligence , machine learning , agronomy , biology
This paper studies the problems of L 1 ‐gain analysis and control for switched positive systems with dwell time constraint. The state‐dependent switching satisfies a minimal dwell time constraint to avoid possible arbitrary fast switching. By constructing multiple linear co‐positive Lyapunov functions, sufficient conditions of stability and L 1 ‐gain property are derived under the proposed switching strategy. Then, an effective state feedback controller is designed to ensure the positivity and L 1 ‐gain property of the closed‐loop system. Finally, a simulation example is given to illustrate the effectiveness of the proposed method.
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