Memory feedback controller design for stochastic Markov jump distributed delay systems with input saturation and partially known transition rates

作者：Zhao Junjie; Wang Jing; Park Ju H^*; Shen Hao

来源：Nonlinear Analysis: Hybrid Systems , 2015, 15: 52-62.

DOI：10.1016/j.nahs.2014.07.002

• Stochastic Markov jump systems
• Input saturation
• State memory feedback
• Partially known transition rates

This paper considers the problem of stabilization for a class of stochastic Markov jump distributed delay systems with partially known transition rates subject to saturating actuators. By employing local sector conditions and an appropriate Lyapunov function, a state memory feedback controller is designed to guarantee that the resulted closed-loop constrained systems are mean-square stochastic asymptotically stable. Some sufficient conditions for the solution to this problem are derived in terms of linear matrix inequalities. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method.

• 出版日期2015-2
• 单位安徽工业大学; 江苏大学