Asynchronously input-output finite-time control of discrete-time nonlinear impulsive positive switched systems. (October 2019)

• Record Type: Journal Article
• Authors: Liu, Leipo; Xing, Hao; Cao, Xiangyang; Fu, Zhumu; Di, Yifan
• Is Part Of: Transactions of the Institute of Measurement and Control. Volume 41:Number 14(2019)
• Page Start: 4157
• Page End: 4166
• Publication Date: 2019-10
• Subjects: Asynchronous control -- input-output finite-time stability -- discrete-time nonlinear impulsive positive switched systems -- average dwell time -- mode-dependent average dwell time; Automatic control -- Periodicals; Measuring instruments -- Periodicals; Commande automatique -- Périodiques; Mesure -- Instruments -- Périodiques; 681.2
• DOI: 10.1177/0142331219841415
• Languages: English
• ISSNs: 0142-3312

Abstract

This paper considers asynchronously input-output finite-time control of discrete-time nonlinear impulsive positive switched systems (DNIPSS). Firstly, the definition of input-output finite-time stability (IO-FTS) is introduced. By using the linear co-positive Lyapunov function (LCLF) and average dwell time (ADT) approach, a state feedback controller via asynchronous switching is designed and sufficient conditions are obtained to guarantee the corresponding closed-loop system is IO-FTS. Such conditions can be solved by linear programming. Furthermore, the mode-dependent average dwell time (MDADT) method for asynchronously input-output finite-time control of DNIPSS is also presented. Finally, two examples are provided to show the effectiveness of the proposed method.