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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2004, Vol. 5 Issue (7): 827-834    DOI: 10.1631/jzus.2004.0827
Systems Science & Engineering     
Mixed Gl2/GH2 multi-channel multi-objective control synthesis for discrete time systems
YAN Wen-jun, ZHANG Sen-lin
Department of Systems Science and Engineering, Zhejiang University, Hangzhou 310027, China
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Abstract  This paper proposes a new approach for multi-objective robust control. The approach extends the standard generalized l2(Gl2) and generalized H2(GH2) conditions to a set of new linear matrix inequality (LMI) constraints based on a new stability condition. A technique for variable parameterization is introduced to the multi-objective control problem to preserve the linearity of the synthesis variables. Consequently, the multi-channel multi-objective mixed Gl2/GH2control problem can be solved less conservatively using computationally tractable algorithms developed in the paper.

Key words： Mixed Gl2/GH2 synthesis      Multi-objective optimization      Robust control      Discrete linear time-invariant systems      G-shaping paradigm     
Received: 10 July 2003     
CLC:  O436.1  
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YAN Wen-jun, ZHANG Sen-lin. Mixed Gl2/GH2 multi-channel multi-objective control synthesis for discrete time systems. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2004, 5(7): 827-834.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2004.0827     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2004/V5/I7/827

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