| Multi-objective robust controller synthesis for discrete-time systems with convex polytopic uncertain domain |
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| 作者姓名： | 张彦虎 颜文俊 卢建宁 赵光宙 |
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| 作者单位： | Department of Systems Science and Engineering, Zhejiang University, Hangzhou 310027, China |
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| 基金项目： | Project （No. 60374028） supported by the National Natural Science Foundation of China |
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| 摘 要： | Multi-objective robust state-feedback controller synthesis problems for linear discrete-time uncertain systems are addressed. Based on parameter-dependent Lyapunov functions, the Gl2 and GH2 norm expressed in terms of LMI （Linear Matrix Inequality） characterizations are further generalized to cope with the robust analysis for convex polytopic uncertain system. Robust state-feedback controller synthesis conditions are also derived for this class of uncertain systems. Using the above results, multi-objective state-feedback controller synthesis procedures which involve the LMI optimization technique are developed and less conservative than the existing one. An illustrative example verified the validity of the approach.
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| 关 键 词： | 多目标优化 鲁棒控制 离散时间系统 Lyapunov函数 不可预测系统 |
| 收稿时间： | 2005-01-11 |
| 修稿时间： | 2005-05-31 |
Multi-objective robust controller synthesis for discrete-time systems with convex polytopic uncertain domain |
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| Zhang YanHu;Yan WenJun;Lu JianNing;Zhao GuangZhou.Multi-objective robust controller synthesis for discrete-time systems with convex polytopic uncertain domain[J].Journal of Zhejiang University Science,2005,6(B08):87-93. |
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| Authors: | Zhang YanHu;Yan WenJun;Lu JianNing;Zhao GuangZhou |
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| Abstract: | |
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| Keywords: | Gl2 and GH2 performance Multi-objective optimization Robust controller synthesis Parameter-dependent Lyapunov functions Convex polytopic uncertain system |
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