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Dynamic Output Feedback Robust MPC With one Free Control Move for LPV Model With Bounded Disturbance
Author(s) -
Ding Baocang,
Wang Pengjun,
Hu Jianchen
Publication year - 2018
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1617
Subject(s) - control theory (sociology) , bounded function , model predictive control , norm (philosophy) , mathematics , regular polygon , state (computer science) , invariant (physics) , convex optimization , control (management) , computer science , mathematical optimization , algorithm , law , mathematical physics , mathematical analysis , geometry , artificial intelligence , political science
For a linear parameter‐varying (LPV) model which is a convex combination of several linear time invariant sub‐models, this paper considers the case when the combining coefficients are unknown (except being nonnegative and their sum being one). For this model with norm‐bounded unknown disturbance, an output feedback robust model predictive control (MPC) is proposed by parameterizing the infinite horizon control moves and estimated states into one free control move, one free estimated state ( i.e. , one control move and one estimated state as degrees of freedom for optimization) and a dynamic output feedback law. This is the first endeavour to apply the free control move and free estimated state in the output feedback MPC for this model. The algorithm is shown to be recursively feasible and the system state is guaranteed to converge to the neighborhood of the equilibrium point. A numerical example verifies the effectiveness of the proposed algorithm.