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Bio-Design and Manufacturing  2022 Vol.5 No.7 P.827~834


Mixed Gl2/GH2 multi-channel multi-objective control synthesis for discrete time systems

Author(s):  YAN Wen-jun, ZHANG Sen-lin

Affiliation(s):  Department of Systems Science and Engineering, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   yanwenjun@zju.edu.cn

Key Words:  Mixed Gl2/GH2 synthesis, Multi-objective optimization, Robust control, Discrete linear time-invariant systems, G-shaping paradigm

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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 D, 2022, 5(7): 827~834.

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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
J0 - Journal of Zhejiang University Science D
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2004.0827

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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