Regular Papers
International Journal of Control, Automation and Systems 2020; 18(4): 817-823
Published online November 6, 2019
https://doi.org/10.1007/s12555-019-0332-x
© The International Journal of Control, Automation, and Systems
Stability of Switched Positive Linear Systems with Actuator Saturation under Mode-dependent Average Dwell Time
The stability problem is investigated for switched positive linear systems (SPLS) with unstabilized subsystem and actuator saturation. By using Lyapunov functions method and mode-dependent average dwell time (MDADT) strategy, sufficient conditions of the stability for the considered systems are established. We also give an estimate of the attraction domain. The convex hull represent approach is used to deal with actuator saturation. Finally, two examples are carried out to show the validity of results, which is less conservative than the average dwell time (ADT) switching.
Keywords Exponential stability, mode-dependent average dwell time, positive system, saturation, switched systems.
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Regular Papers
International Journal of Control, Automation and Systems 2020; 18(4): 817-823
Published online April 1, 2020 https://doi.org/10.1007/s12555-019-0332-x
Copyright © The International Journal of Control, Automation, and Systems.
Stability of Switched Positive Linear Systems with Actuator Saturation under Mode-dependent Average Dwell Time
Lijie You, Jianyin Fang, and Xiaowu Mu*
Zhengzhou University
Abstract
The stability problem is investigated for switched positive linear systems (SPLS) with unstabilized subsystem and actuator saturation. By using Lyapunov functions method and mode-dependent average dwell time (MDADT) strategy, sufficient conditions of the stability for the considered systems are established. We also give an estimate of the attraction domain. The convex hull represent approach is used to deal with actuator saturation. Finally, two examples are carried out to show the validity of results, which is less conservative than the average dwell time (ADT) switching.
Keywords: Exponential stability, mode-dependent average dwell time, positive system, saturation, switched systems.
Vol. 23, No. 3, pp. 683~972
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