Almost sure H-infinity sliding mode control for nonlinear stochastic systems with Markovian switching and time-delays

作者：Yang, Hua; Wang, Zidong; Shu, Huisheng^*; Alsaadi, Fuad E.; Hayat, Tasawar

来源：Neurocomputing, 2016, 175: 392-400.

DOI：10.1016/j.neucom.2015.10.071

• Nonlinear stochastic systems
• Sliding mode control
• Markovian switching
• Almost surely exponential stability

This paper investigates the almost sure H-infinity sliding mode control (SMC) problem for nonlinear stochastic systems with Markovian switching and time-delays. An integral sliding surface is first constructed for the addressed system. Then, by employing the stopping time method combined with martingale inequalities, sufficient conditions are established to ensure the almost surely exponential stability and the H-infinity performance of the system dynamics in the specified sliding surface. A SMC law is designed to guarantee the reachability of the specified sliding surface almost surely. Furthermore, the obtained results are applied to a class of special nonlinear stochastic systems with Markovian switching and time-delays, where the desired SMC law is obtained in terms of the solutions to a set of matrix inequalities. Finally, a numerical example is given to show the effectiveness of the proposed SMC scheme.

• 出版日期2016-1-29
• 单位东华大学; 山西农业大学