Exponential stabilization for nonlinear coupled dynamical systems via impulsive and sampled‐data control with input constraints. (28th August 2019)

• Record Type: Journal Article
• Authors: Li, Hongfei; Li, Chuandong; Zhang, Wanli; Cao, Zhengran
• Is Part Of: International journal of robust and nonlinear control. Volume 29:Number 17(2019)
• Page Start: 6126
• Page End: 6144
• Publication Date: 2019-08-28
• Subjects: hybrid impulsive and sampled‐data control -- input constraints -- linear matrix inequalities (LMIs) -- local exponential stabilization -- nonlinear coupled dynamical systems; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.4708
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: In this paper, exponential stabilization for nonlinear coupled dynamical systems by considering sampled‐data controller and impulsive controller with input constraints is investigated. Based on polytopic representation approach, some linear matrix inequalities are established to guarantee local exponential stabilization of nonlinear coupled dynamical systems. Moreover, by using polytopic differential inclusion, for the case of the partial input saturation involving in the impulsive controller, we also obtain several sufficient conditions ensuring local exponential stabilization. Finally, three examples are presented to show the effectiveness of theoretical analysis.