Input-to-state stability of discrete-time singular systems based on quasi-min–max model predictive control
Input-to-state stability of discrete-time singular systems based on quasi-min–max model predictive control
- Author(s): Chan Gao ; Xiao-Hua Liu ; Wuquan Li
- DOI: 10.1049/iet-cta.2014.1088
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- Author(s): Chan Gao 1 ; Xiao-Hua Liu 1 ; Wuquan Li 1
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View affiliations
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Affiliations:
1:
School of Mathematics and Statistics Science, Ludong University, Yantai, Shandong 264025, People's Republic of China
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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
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.
Inspec keywords: numerical analysis; minimax techniques; predictive control; robust control; optimal control; closed loop systems; discrete time systems
Other keywords: numerical simulation; dual-mode MPC approach; finite horizon cost function; optimal control; robust quasi-min-max model predictive control; closed-loop discrete-time singular system; persistent disturbance; ISS; input-to-state stability; input constrains
Subjects: Optimisation techniques; Discrete control systems; Optimal control; Other numerical methods; Stability in control theory
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