Adaptive stabilisation of random systems with arbitrary switchings

作者：Jiao, Ticao; Xu, Shengyuan^*; Li, Yongmin; Li, Ze

来源：IET Control Theory and Applications, 2015, 9(18): 2634-2640.

DOI：10.1049/iet-cta.2015.0065

• nonlinear systems
• adaptive systems
• switching systems (control)
• Lyapunov methods
• asymptotic stability
• state feedback
• control system synthesis
• closed loop systems
• uncertain systems
• mean square error methods
• adaptive stabilisation
• random nonlinear system
• arbitrary switching
• parameter uncertainty
• Lyapunov function
• adaptive state feedback controller design
• closed-loop system
• exponential noise-to-state stability
• mean square

This study is concerned with the global stabilisation problem for a class of random non-linear systems with arbitrary switchings and parameter uncertainties. Under some milder assumptions and by constructing a Lyapunov function, a common adaptive state feedback controller is designed such that the resulting closed-loop system has a globally unique and almost surely bounded solution. Furthermore, the system states are exponentially noise-to-state stable in mean square. Finally, the efficiency of the proposed design approach is demonstrated by a numerical example.

• 出版日期2015-12-10
• 单位湖州师范学院; 南京理工大学; 苏州科技大学