A sliding mode approach to stabilization of nonlinear Markovian jump singularly perturbed systems

作者：Li, Hongyi; Wang, Yueying; Yao, Deyin; Lu, Renquan^*

来源：Automatica, 2018, 97: 404-413.

DOI：10.1016/j.automatica.2018.03.066

• Sliding mode control (SMC)
• Markovian jump systems
• Singularly perturbed systems

This paper presents a sliding mode control (SMC) method for a class of nonlinear Markovian jump singularly perturbed systems (MJSPSs). The system is subject to parameter uncertainties and partly unknown transition probabilities. To fully employ the model characteristics of such a hybrid system, a novel integral-type switching function is firstly designed. By adopting the epsilon-dependent stochastic Lyapunov function method, sufficient conditions are presented to ensure the mean-square asymptotic stability of the sliding mode dynamics. A mode-dependent fuzzy SMC law is then synthesized to induce and maintain the sliding motion despite partly unknown transition probabilities and parameter uncertainties. Finally, the developed method is applied to stabilize a modified series DC motor system.

• 出版日期2018-11
• 单位上海交通大学; 渤海大学; 广东工业大学