| 具有单调性非线性项的非线性系统降维观测器设计 |
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| 引用本文： | 朱芳来, 丁宣浩. 具有单调性非线性项的非线性系统降维观测器设计. 自动化学报, 2007, 33(12): 1290-1293. doi: 10.1360/aas-007-1290 |
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| 作者姓名： | 朱芳来 丁宣浩 |
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| 作者单位： | 1.Institute of Mathematics and Statistics, Chongqing Technology & Business University, Chongqing 400067, P.R.China;;2.College of Electronics and Information Engineering, Tongji University, Shanghai 200092, P.R.China |
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| 基金项目： | Supported by National Natural Science Foundation of China(60464001),the Program for 100 Young and Middle-aged Disciplinary Leaders in Guangxi Higher Education Institutions |
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| 摘 要： | Based on the discussion about the existence and design method of full-order observer for systems with monotone nonlinearities, a reduced-order observer design method is developed under the assumption that a linear matrix inequality (LMI) has positive definite matrix solution and the reduced-order observer gain matrix is computed by the solution of LMI. By a linear transformation, a reduced-order observer which does not contain the information of the derivative of the system output is provided. A model is simulated and some conclusions are drawn based on the comparison of the results of reduced-order observer to that of full-order observer. The simulation shows that the design method developed by this paper has good performance.
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| 关 键 词： | Linear matrix inequality (LMI) monotone nonlinearities full-order observer reduced-order observer |
| 收稿时间： | 2006-08-29 |
| 修稿时间： | 2007-08-29 |
The Design of Reduced-order Observer for Systems with Monotone Nonlinearities |
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| ZHU Fang-Lai, DING Xuan-Hao. The Design of Reduced-order Observer for Systems with Monotone Nonlinearities. ACTA AUTOMATICA SINICA, 2007, 33(12): 1290-1293. doi: 10.1360/aas-007-1290 |
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| Authors: | ZHU Fang-Lai DING Xuan-Hao |
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| Affiliation: | 1. Institute of Mathematics and Statistics, Chongqing Technology &Business University, Chongqing 400067, P.R.China;;;2. College of Electronics and Information Engineering, Tongji University, Shanghai 200092, P.R.China |
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| Abstract: | Based on the discussion about the existence and design method of full-order observer for systems with monotone nonlinearities,a reduced-order observer design method is developed under the assumption that a linear matrix inequality(LMI) has positive definite matrix solution and the reduced-order observer gain matrix is computed by the solution of LMI.By a linear transformation,a reduced-order observer which does not contain the information of the derivative of the system output is provided. A model is simulated and some conclusions are drawn based on the comparison of the results of reduced-order observer to that of full-order observer.The simulation shows that the design method developed by this paper has good performance. |
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| Keywords: | Linear matrix inequality(LMI) monotone nonlinearities full-order observer reduced-order observer |
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