Abstract
The paper concerns robust quasi-min-max model predictive control for a class of discrete-time singular systems with input constrains and persistent disturbance. To deal with the persistent disturbance, we introduce the notion of input-to-state stability 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 input-to-state stability. Finally, a numerical simulation shows the feasibility and the effectiveness of the proposed method.
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