| Mixed Gl_2/GH_2 multi-channel multi-objective control synthesis for discrete time systems |
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| 作者姓名： | 颜文俊 张森林 |
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| 作者单位： | Department of Systems Science and Engineering，Zhejiang University，Hangzhou 310027，China，Department of Systems Science and Engineering，Zhejiang University，Hangzhou 310027，China |
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| 基金项目： | Project supported by the National Natural Science Foundation of
China (No. 60374028)，and the Scientific Research Foundation for
Returned Overseas Chinese Scholars，Ministry of Education (No.
[2004]176) |
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| 摘 要： | INTRODUCTION In the past two decades, a large number ostrategies for control systems analysis and synthesis such as H2, H∞, l1 and μ-synthesis had beendeveloped. In H∞design, all disturbances arelumped into a single norm rather than boundedseparately by the size of each disturbance as ||d||2=||d1||2 … ||dm||2. This certainly leads to some conservatism (D’Andrea, 1999). In contrast, theμ-synthesis technique overcomes the conservatismby introducing structured uncertainty block…
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Mixed Gl_2/GH_2 multi-channel multi-objective control synthesis for discrete time systems |
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| YAN Wen-jun ?,ZHANG Sen-lin.Mixed Gl_2/GH_2 multi-channel multi-objective control synthesis for discrete time systems[J].Journal of Zhejiang University Science,2004(7). |
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| Authors: | YAN Wen-jun ? ZHANG Sen-lin |
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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/GH2 control problem can be solved less conservatively using computationally tractable algorithms developed in the paper. |
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| Keywords: | Mixed Gl2/GH2 synthesis Multi-objective optimization Robust control Discrete linear time-invariant systems G-shaping paradigm |
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