Input-to-state stability of discrete-time singular systems based on quasi-min–max model predictive control

Chan Gao; Xiao-Hua Liu; Wuquan Li

Input-to-state stability of discrete-time singular systems based on quasi-min–max model predictive control

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Author(s): Chan Gao ¹ ; Xiao-Hua Liu ¹ ; Wuquan Li ¹
- Affiliations: 1: School of Mathematics and Statistics Science, Ludong University, Yantai, Shandong 264025, People's Republic of China
Source: Volume 9, Issue 11, 16 July 2015, p. 1662 – 1669
DOI: 10.1049/iet-cta.2014.1088 , Print ISSN 1751-8644, Online ISSN 1751-8652

Received 11/10/2014, Accepted 02/03/2015, Revised 01/02/2015, Published 12/05/2015

This study is concerned with robust quasi-min–max model predictive control (MPC) for a class of discrete-time singular systems with persistent disturbance and input constrains. To deal with the persistent disturbance, the authors introduce the notion of input-to-state stability (ISS) of discrete-time singular system for the first time. The optimal control can be obtained by solving a quasi-min–max optimal problem of a finite horizon cost function. On the basis of the proposed dual-mode MPC approach, it can be proved that the closed-loop discrete-time singular system is ISS, regular and causal. Finally, a numerical simulation shows the feasibility and effectiveness of the proposed method.

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Input-to-state stability of discrete-time singular systems based on quasi-min–max model predictive control

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