Time-delayed impulsive control for discrete-time nonlinear systems with actuator saturation
Articles
Liangliang Li
Southwest University / Chongqing Three Gorges University
Chuandong Li
Southwest University
Wei Zhang
Chongqing Three Gorges University
Published 2019-09-26
https://doi.org/10.15388/NA.2019.5.7
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Keywords

discrete-time dynamical systems,
delayed impulsive control
exponential stability
actuator saturation

How to Cite

Li, L., Li, C. and Zhang, W. (2019) “Time-delayed impulsive control for discrete-time nonlinear systems with actuator saturation”, Nonlinear Analysis: Modelling and Control, 24(5), pp. 804–818. doi:10.15388/NA.2019.5.7.

Abstract

This paper focuses on the problem of time-delayed impulsive control with actuator saturation for discrete-time dynamical systems. By establishing a delayed impulsive difference inequality, combining with convex analysis and inequality techniques, some sufficient conditions are obtained to ensure exponential stability for discrete-time dynamical systems via time-delayed impulsive controller with actuator saturation. The designed controller admits the existence of some transmission delays in impulsive feedback law, and the control input variables are required to stay within an availability zone. Several numerical simulations are also given to demonstrate the effectiveness of the proposed results. 

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