自动化学报    2007 33 (12): 1290-1293    ISSN: 0254-4156   CN: 11-2109/TP  

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具有单调性非线性项的非线性系统降维观测器设计
朱芳来, 丁宣浩

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

收稿日期 2006-8-29    修回日期 2007-2-5    网络版发布日期     接受日期 
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.
关键词   Linear matrix inequality (LMI)   monotone nonlinearities   full-order observer   reduced-order observer  
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The Design of Reduced-order Observer for Systems with Monotone Nonlinearities

ZHU Fang-Lai, DING Xuan-Hao

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


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.
Key words   Linear matrix inequality (LMI)   monotone nonlinearities   full-order observer   reduced-order observer  
DOI:  10.1360/aas-007-1290

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朱芳来; 丁宣浩