| Approximation methods of mixed l_1/H_2 optimization problems for MIMO discrete-time systems |
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| 作者姓名： | 李昇平 |
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| 作者单位： | Li Shengping Department of Mechatronic Engineering，Shantou University，Shantou 515063，P. R. China |
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| 基金项目： | This project was supported by the National Nature Science Foundation of China (60374009)，Nature Science Foundation of Guangdong Province of China (990795). |
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| 摘 要： | The mixed l1/H2 optimization problem for MIMO (multiple input-multiple output) discrete-time systems is considered. This problem is formulated as minimizing the l1-norm of a closed-loop transfer matrix while maintaining the H2-norm of another closed-loop transfer matrix at prescribed level. The continuity property of the optimal value in respect to changes in the H2-norm constraint is studied. The existence of the optimal solutions of mixed l1/H2 problem is proved. Because the solution of the mixed l1/H2 problem is based on the scaled-Q method, it avoids the zero interpolation difficulties. The convergent upper and lower bounds can be obtained by solving a sequence of finite dimensional nonlinear programming for which many efficient numerical optimization algorithms exist.
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Approximation methods of mixed l 1/H2 optimization problems for MIMO discrete-time systems |
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| Li Shengping.Approximation methods of mixed l_1/H_2 optimization problems for MIMO discrete-time systems[J].Journal of Systems Engineering and Electronics,2004,15(3). |
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| Authors: | Li Shengping |
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| Institution: | Department of Mechatronic Engineering, Shantou University, Shantou 515063, P. R. China |
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| Abstract: | The mixed l1/H2 optimization problem for MIMO (multiple input-multiple output) discrete-time systems is considered. This problem is formulated as minimizing the l1-norm of a closed-loop transfer matrix while maintaining the H2-norm of another closed-loop transfer matrix at prescribed level. The continuity property of the optimal value in respect to changes in the H2-norm constraint is studied. The existence of the optimal solutions of mixed l1/H2 problem is proved. Because the solution of the mixed l1/H2 problem is based on the scaled-Q method, it avoids the zero interpolation difficulties. The convergent upper and lower bounds can be obtained by solving a sequence of finite dimensional nonlinear programming for which many efficient numerical optimization algorithms exist. |
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| Keywords: | MIMO system discrete-time systems mixed l1/H2 optimization |
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