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Feasibility and Stability of Openloop MMMPC for Systems with Bounded Additive Uncertainties

LI Junling, ZHANG Shugong   

  1. Institute of Mathematics, Jilin University, Changchun 130012, China
  • Received:2008-01-02 Revised:1900-01-01 Online:2008-01-26 Published:2008-01-26
  • Contact: ZHANG Shugong

Abstract: We considered the feasibility and stability of openloop minmax model prediction control (OLMMMPC) for systems with additive bounded uncertainties. It is concluded that the OLMMMPC may not be feasible and stable if it is only initially feasible. A sufficient condition of the OLMMMPC that ensuresits feasibility and stability is given. Then we proposed an improved OLMMMPC algorithm which guarantees robust stability of the closed loop system once the problem is initially feasible.

Key words: additive bounded uncertainty, predictive control, feasibility, stability

CLC Number: 

  • O231