Regular Papers
International Journal of Control, Automation and Systems 2020; 18(7): 1751-1757
Published online January 22, 2020
https://doi.org/10.1007/s12555-019-0322-z
© The International Journal of Control, Automation, and Systems
Asynchronously Input-output Finite-time Control of Positive Impulsive Switched Systems
This paper considers asynchronously input-output finite-time control of positive impulsive switched systems(PISS). Firstly, the definition of input-output finite-time stability(IO-FTS) is introduced. By using the Lyapunov functional and average dwell time(ADT) approach, a state feedback controller is designed and new sufficient conditions are obtained to guarantee the corresponding closed-loop system is IO-FTS under asynchronous switching. Such conditions can be solved by linear programming. Finally, a practical example is provided to show the effectiveness of the proposed method.
Keywords Asynchronous control, average dwell time, input-output finite-time stability, positive impulsive switched systems
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Regular Papers
International Journal of Control, Automation and Systems 2020; 18(7): 1751-1757
Published online July 1, 2020 https://doi.org/10.1007/s12555-019-0322-z
Copyright © The International Journal of Control, Automation, and Systems.
Asynchronously Input-output Finite-time Control of Positive Impulsive Switched Systems
Leipo Liu*, Hao Xing, Yifan Di, Zhumu Fu, and Shuzhong Song
Henan University of Science and Technology
Abstract
This paper considers asynchronously input-output finite-time control of positive impulsive switched systems(PISS). Firstly, the definition of input-output finite-time stability(IO-FTS) is introduced. By using the Lyapunov functional and average dwell time(ADT) approach, a state feedback controller is designed and new sufficient conditions are obtained to guarantee the corresponding closed-loop system is IO-FTS under asynchronous switching. Such conditions can be solved by linear programming. Finally, a practical example is provided to show the effectiveness of the proposed method.
Keywords: Asynchronous control, average dwell time, input-output finite-time stability, positive impulsive switched systems
Vol. 23, No. 3, pp. 683~972
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