Volume 14, Issue 4 (Journal of Control, V.14, N.4 Winter 2021)
JoC 2021, 14(4): 107-118 |
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Nasiri A, Baranzadeh A, Rashidi F. Robust H_∞ Output Feedback Control for T-S Fuzzy Systems: A Non-monotonic Approach. JoC 2021; 14 (4) :107-118
URL: http://joc.kntu.ac.ir/article-1-652-en.html
URL: http://joc.kntu.ac.ir/article-1-652-en.html
1- University of Hormozgan
Abstract: (5218 Views)
This paper proposes robust H_∞ output feedback control stabilization for uncertain Takagi–Sugeno (T-S) fuzzy systems via linear matrix inequalities (LMIs). In order to reduce the conservatism associated with T-S fuzzy system, a new form of non-monotonic Lyapunov functions is used. In the non-monotonic approach, the monotonic decrease of the Lyapunov function is relaxed which enables it to increase locally but vanish eventually. Based on the non-monotonic Lyapunov function approach, sufficient conditions for the existence of robust H_∞ output feedback control stabilization are derived. The proposed design technique is shown to be less conservative than the existing non-monotonic approach, namely, K -samples variations of Lyapunov function. The effectiveness of the proposed approach is further illustrated via numerical example.
Keywords: nonlinear system, T-S fuzzy model, output feedback, non-monotonic Lyapunov function, Robust H_∞ control.
Type of Article: Research paper |
Subject:
Special
Received: 2019/02/26 | Accepted: 2019/11/16 | ePublished ahead of print: 2020/10/5 | Published: 2021/02/19
Received: 2019/02/26 | Accepted: 2019/11/16 | ePublished ahead of print: 2020/10/5 | Published: 2021/02/19
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