Searching for just a few words should be enough to get started. If you need to make more complex queries, use the tips below to guide you.
Article type: Research Article
Authors: Asemani, M.H.a; * | Majd, Vahid Joharib
Affiliations: [a] Control and Power Engineering Department, School of Electrical and Computer Engineering, Shiraz University, Shiraz, Iran | [b] Control Engineering Department, School of Electrical and Computer Engineering, Tarbiat Modares University, Tehran, Iran
Correspondence: [*] Corresponding author. M.H. Asemani, Control and Power Engineering Department, School of Electrical and Computer Engineering, Shiraz University, P.O. Box 71348-51154, Shiraz, Iran. Tel.: +98 711 6133229; Fax: +98 711 2303081; Emails: asemani@shirazu.ac.ir (M.H. Asemani), majd@modares.ac.ir (V.J. Majd).
Abstract: A new design procedure for robust H∞ control for a class of T-S fuzzy singularly perturbed systems based on fuzzy Lyapunov functions and non-PDC control scheme is proposed in this paper. Using the proposed controller, the closed-loop T-S fuzzy singularly perturbed system becomes asymptotically stable in the absence of disturbances and satisfies the H∞-norm condition in the presence of disturbances all positive values of the singular perturbation parameter within the given desired bound. The main drawback of a fuzzy Lyapunov-based approach is that one needs to find some upper or lower bounds for the derivatives of the grades of the membership functions, which is hard to find in practice. By using natural properties of a T-S model, a novel procedure is proposed to tackle this problem. Using the descriptor redundancy approach, the design conditions are derived in the form of some strict linear matrix inequalities (LMIs). Moreover, to cover a more general problem, it is assumed that there exist some uncertainties in the local system matrices of the T-S fuzzy singularly perturbed system. Two examples are presented to illustrate that the proposed design conditions are feasible for larger bounds on the singular perturbation parameter compared to those of previous techniques.
Keywords: Takagi-Sugeno (T-S) fuzzy singularly perturbed system, fuzzy Lyapunov function, descriptor redundancy, H∞ control, Linear Matrix Inequalities (LMIs)
DOI: 10.3233/IFS-141303
Journal: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 1, pp. 15-26, 2015
IOS Press, Inc.
6751 Tepper Drive
Clifton, VA 20124
USA
Tel: +1 703 830 6300
Fax: +1 703 830 2300
sales@iospress.com
For editorial issues, like the status of your submitted paper or proposals, write to editorial@iospress.nl
IOS Press
Nieuwe Hemweg 6B
1013 BG Amsterdam
The Netherlands
Tel: +31 20 688 3355
Fax: +31 20 687 0091
info@iospress.nl
For editorial issues, permissions, book requests, submissions and proceedings, contact the Amsterdam office info@iospress.nl
Inspirees International (China Office)
Ciyunsi Beili 207(CapitaLand), Bld 1, 7-901
100025, Beijing
China
Free service line: 400 661 8717
Fax: +86 10 8446 7947
china@iospress.cn
For editorial issues, like the status of your submitted paper or proposals, write to editorial@iospress.nl
如果您在出版方面需要帮助或有任何建, 件至: editorial@iospress.nl