Nonfragile observer-based guaranteed cost finite-time control of discrete-time positive impulsive switched systems

Open Mathematics

Cao Xiangyang¹  Fu Zhumu¹  Liu Leipo¹  Xing Hao¹  Cai Xiushan² 

[1] College of Information Engineering, Henan University of Science and Technology, Luoyang, 471023, China;College of Mechatronics and Control Engineering, Hubei Normal University, Huangshi, 435002, China;

关键词: guaranteed cost finite-time control;    nonfragile positive observer design;    discrete-time positive impulsive switched systems;    average dwell time;    15-xx;    65-xx;    93-xx;   

DOI  :  10.1515/math-2019-0058

来源: DOAJ

【 摘 要 】

This paper considers the nonfragile observer-based guaranteed cost finite-time control of discrete-time positive impulsive switched systems(DPISS). Firstly, the positive observer and nonfragile positive observer are designed to estimate the actual state of the underlying systems, respectively. Secondly, by using the average dwell time(ADT) approach and multiple linear co-positive Lyapunov function (MLCLF), two guaranteed cost finite-time controller are designed and sufficient conditions are obtained to guarantee the corresponding closed-loop systems are guaranteed cost finite-time stability(GCFTS). Such conditions can be solved by linear programming. Finally, a numerical example is provided to show the effectiveness of the proposed method.

【 授权许可】

Unknown