Robust finite-time control of descriptor Markovian jump systems with impulsive

Advances in Difference Equations

Xiaoming Su¹  Xiujie Zhao¹ 

[1] grid.443558.b, School of Science, Shenyang University of Technology, Shenyang, China;

关键词: Descriptor Markovian jump systems;    Actuator saturation;    Finite-time control;    Impulsive systems;   

DOI  :  10.1186/s13662-019-2052-1

来源: publisher

【 摘 要 】

In this paper, we obtain sufficient conditions ensuring stability of the robust finite-time for descriptor Markovian jump systems with impulsive effects and time-varying norm-bounded disturbance, especially, when the system is in actuator saturation. Using the theory of Lyapunov functions and the concept of convex hull-based representation of saturation function. We design the state feedback controller and obtain estimation of domain of attraction, extending the results to convex optimization problems; the solvability condition of the controller can be equivalent to a feasibility problem of coupled linear matrix inequalities (LMIs). Finally, we present some numerical examples showing the effectiveness of the obtained theoretical results.

【 授权许可】

CC BY