Observer Design for T-S Fuzzy Systems with Measurement Output Noises
| Authors: | Gao Zhiwei, Tianjin University, University of Duisburg-Essen, China
Shi Xiaoyan, Tianjin University, China
Ding Steven X., University of Duisburg-Essen, Germany |
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| Topic: | 3.2 Cognition and Control ( AI, Fuzzy, Neuro, Evolut.Comp.) |
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| Session: | Fuzzy Control: LMI Methods |
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| Keywords: | TS model, observer, fuzzy systems, measurement noises |
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Abstract
In this paper, new observer design approaches are presented for Takagi-Sugeno (T-S) fuzzy models with measurement output noises. In order to decouple the measurement noise, an augmented fuzzy descriptor model is first constructed. Then by using proportional and derivative (PD) gains, a fuzzy descriptor observer is developed. When the fuzzy subsystems have the same output matrices, another fuzzy descriptor observer is designed, which can be transformed into a normal fuzzy observer. Via the proposed two kinds of fuzzy observer design, the state and the output noise can be estimated at the same time. The simulation result shows the satisfactory tracking performance.
