| IMPROVED ROBUST H-INFINITY ESTIMATION FOR UNCERTAIN CONTINUOUS-TIME SYSTEMS |
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| 引用本文： | Aiguo WU Huafeng DONG . Guangren DUAN. IMPROVED ROBUST H-INFINITY ESTIMATION FOR UNCERTAIN CONTINUOUS-TIME SYSTEMS[J]. 系统科学与复杂性, 2007, 20(3): 362-369. DOI: 10.1007/s11424-007-9031-4 |
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| 作者姓名： | Aiguo WU Huafeng DONG . Guangren DUAN |
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| 作者单位： | [1]Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001; Infor- mation and Control Research Center, Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055, China. [2]Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, China. |
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| 基金项目： | The research is supported by the National Natural Science Foundation of China under Grant No. 60374024 and by Program for Changjiang Scholars and Innovative Research Teams in University. |
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| 摘 要： | The design of full-order robust estimators is investigated for continuous-time polytopic uncertain systems. The main purpose is to obtain a stable linear estimator such that the estimation error system remains robustly stable with a prescribed H∞ attenuation level. Firstly, a simple alternative proof is given for an improved LMI representation of H∞ performance proposed recently. Based on the performance criterion which keeps the Lyapunov matrix out of the product of the system dynamic matrices, a sufficient condition for the existence of the robust estimator is provided in terms of linear matrix inequalities. It is shown that the proposed design strategy allows the use of parameterdependent Lyapunov functions and hence it is less conservative than the earlier results. A numerical example is employed to illustrate the feasibility and advantage of the proposed design.
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| 关 键 词： | 连续时间系统 守恒性 h无限估计 不确定性 |
| 收稿时间： | 2006-06-19 |
| 修稿时间： | 2006-06-19 |
Improved Robust H-Infinity Estimation for Uncertain Continuous-Time Systems |
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| Aiguo Wu,Huafeng Dong,Guangren Duan. Improved Robust H-Infinity Estimation for Uncertain Continuous-Time Systems[J]. Journal of Systems Science and Complexity, 2007, 20(3): 362-369. DOI: 10.1007/s11424-007-9031-4 |
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| Authors: | Aiguo Wu Huafeng Dong Guangren Duan |
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| Affiliation: | (1) Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, 150001, China;(2) Information and Control Research Center, Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen, 518055, China |
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| Abstract: | The design of full-order robust estimators is investigated for continuous-time polytopic uncertain systems. The main purpose is to obtain a stable linear estimator such that the estimation error system remains robustly stable with a prescribed H ∞ attenuation level. Firstly, a simple alternative proof is given for an improved LMI representation of H ∞ performance proposed recently. Based on the performance criterion which keeps the Lyapunov matrix out of the product of the system dynamic matrices, a sufficient condition for the existence of the robust estimator is provided in terms of linear matrix inequalities. It is shown that the proposed design strategy allows the use of parameter-dependent Lyapunov functions and hence it is less conservative than the earlier results. A numerical example is employed to illustrate the feasibility and advantage of the proposed design. The research is supported by the National Natural Science Foundation of China under Grant No. 60374024 and by Program for Changjiang Scholars and Innovative Research Teams in University. |
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| Keywords: | Conservativeness estimation parameter-dependence polytopic uncertainty. |
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