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On-line Access: 2024-08-27
Received: 2023-10-17
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Mixed Gl2/GH2 multi-channel multi-objective control synthesis for discrete time systems
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YAN Wen-jun, ZHANG Sen-lin. Mixed Gl2/GH2 multi-channel multi-objective control synthesis for discrete time systems[J]. Journal of Zhejiang University Science A, 2004, 5(7): 827-834.
@article{title="Mixed Gl2/GH2 multi-channel multi-objective control synthesis for discrete time systems",
author="YAN Wen-jun, ZHANG Sen-lin",
journal="Journal of Zhejiang University Science A",
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pages="827-834",
year="2004",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2004.0827"
}
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%A ZHANG Sen-lin
%J Journal of Zhejiang University SCIENCE A
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%DOI 10.1631/jzus.2004.0827
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T1 - Mixed Gl2/GH2 multi-channel multi-objective control synthesis for discrete time systems
A1 - YAN Wen-jun
A1 - ZHANG Sen-lin
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2004.0827
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.
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