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A New Probabilistic Robust Control Approach for System with Uncertain Parameters
Author(s) -
Xie Rong,
Gong Jianying,
Wang Xinmin
Publication year - 2015
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.1006
Subject(s) - probabilistic logic , robustness (evolution) , robust control , probabilistic analysis of algorithms , control theory (sociology) , computer science , mathematical optimization , computational complexity theory , norm (philosophy) , mathematics , algorithm , control system , control (management) , artificial intelligence , engineering , biochemistry , chemistry , law , political science , electrical engineering , gene
This paper addresses the issues of conservativeness and computational complexity of robust control. A new probabilistic robust control method is proposed to design a high performance controller. The key of the new method is that the uncertainty set is divided into two parts: r ‐subset and the complementary set of r ‐subset. The contributions of the new method are as follows: (i) a deterministic robust controller is designed for r ‐subset, so it has less conservative than those designed by using deterministic robust control method for the full set; and (ii) the probabilistic robustness of the designed controller is evaluated just for the complementary set of r ‐subset but not for the full set, so the computational complexity of the new method is reduced. Given expected probability robustness, a pertinent probabilistic robust controller can be designed by adjusting the norm boundary of r ‐subset. The effectiveness of the proposed method is verified by the simulation example.