Adaptive observer design for the uncertain Takagi–Sugeno fuzzy system with output disturbance
Adaptive observer design for the uncertain Takagi–Sugeno fuzzy system with output disturbance
- Author(s): T.V. Dang ; W.-J. Wang ; L. Luoh ; C.-H. Sun
- DOI: 10.1049/iet-cta.2011.0022
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- Author(s): T.V. Dang 1 ; W.-J. Wang 1 ; L. Luoh 2 ; C.-H. Sun 3
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View affiliations
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Affiliations:
1: Department of Electrical Engineering, National Central University, JhongLi, Taiwan
2: Department of Electrical Engineering, Chung Hua University, Hsin-Chu, Taiwan
3: Department of Mechanical and Electro-Mechanical Engineering, Tamkang University, Tamsui, Taiwan
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Affiliations:
1: Department of Electrical Engineering, National Central University, JhongLi, Taiwan
- Source:
Volume 6, Issue 10,
5 July 2012,
p.
1351 – 1366
DOI: 10.1049/iet-cta.2011.0022 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Published
The study proposes an adaptive fuzzy observer for the uncertain Takagi–Sugeno (T–S) fuzzy system with output disturbance. First, an augmented fuzzy model is built by integrating the system state and the output disturbance together as new variables. Then, the desired adaptive fuzzy observer is designed to estimate the unavailable system state and the unknown output disturbance simultaneously. Based on Lyapunov theory and linear matrix inequalities (LMIs) tools, two main conditions are derived under which the fuzzy observer is designed. Finally, the procedure of the observer design is summarised and the effectiveness of the designed observer is demonstrated with a numerical example.
Inspec keywords: fuzzy systems; adaptive control; Lyapunov methods; observers; control system synthesis; linear matrix inequalities
Other keywords:
Subjects: Simulation, modelling and identification; Stability in control theory; Self-adjusting control systems; Linear algebra (numerical analysis); Fuzzy control; Control system analysis and synthesis methods
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