Estimation of attraction domain of nonlinear systems with saturated impulses and input disturbances. (21st September 2021)

• Record Type: Journal Article
• Authors: Wu, Hongjuan; Li, Chuandong; He, Zhilong; Wang, Yinuo
• Other Names: Müller Matthias A. guestEditor.; Allgöwer Frank guestEditor.
• Is Part Of: International journal of robust and nonlinear control. Volume 31:Number 18(2021)
• Page Start: 9466
• Page End: 9482
• Publication Date: 2021-09-21
• Subjects: actuator saturation -- attraction domain -- impulsive control -- input disturbances -- nonlinear dynamical system; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.5783
• Languages: English
• ISSNs: 1049-8923

Abstract

Abstract: In this article, the estimation of attraction domain of nonlinear systems with saturated impulses and input disturbances is investigated. The sufficient conditions which can ensure the robust convergence of a class of nonlinear dynamical systems for every initial condition in the attraction domain are established. Moreover, some optimization problems are proposed to design the control gain so as to enlarge the size of the estimation of attraction domain as much as possible with a prespecified decay rate. In addition, the exponential stabilization and the estimation of attraction domain for nonlinear dynamical systems under this saturated impulsive control without disturbances are also studied. Finally, simulation results for a chaotic oscillator are displayed to show the effectiveness and feasibility of our results.