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Further results on robust fuzzy dynamic systems with LMI D-stability constraints

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper examines the problem of designing a robust H∞ fuzzy controller with D-stability constraints for a class of nonlinear dynamic systems which is described by a Takagi–Sugeno (TS) fuzzy model. Fuzzy modelling is a multi-model approach in which simple sub-models are combined to determine the global behavior of the system. Based on a linear matrix inequality (LMI) approach, we develop a robust H∞ fuzzy controller that guarantees (i) the L2-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value, and (ii) the closed-loop poles of each local system to be within a specified stability region. Sufficient conditions for the controller are given in terms of LMIs. Finally, to show the effectiveness of the designed approach, an example is provided to illustrate the use of the proposed methodology.
Rocznik
Strony
785--794
Opis fizyczny
Bibliogr. 41 poz., rys., tab., wykr.
Twórcy
  • Department of Electronic and Telecommunication Engineering, King Mongkut’s University of Technology Thonburi, 126 Prachautits Rd., Bangkok 10140, Thailand
Bibliografia
  • [1] Assawinchaichote, W. (2012). A non-fragile H∞ output feedback controller for uncertain fuzzy dynamical systems with multiple time-scales, International Journal Computers, Communications & Control 7(1): 8–16.
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  • [3] Assawinchaichote, W. and Nguang, S.K. (2004a). H∞ filtering for fuzzy singularly perturbed systems with pole placement constraints: An LMI approach, IEEE Transactions on Signal Processing 52(6): 1659–1667.
  • [4] Assawinchaichote, W. and Nguang, S.K. (2004b). H∞ fuzzy control design for nonlinear singularly perturbed systems with pole placement constraints: An LMI approach, IEEE Transactions on Systems, Man, and Cybernetics: Part B 34(1): 579–588.
  • [5] Assawinchaichote, W. and Nguang, S.K. (2006). Fuzzy H∞ output feedback control design for singularly perturbed systems with pole placement constraints: An LMI approach, IEEE Transactions Fuzzy Systems 14(3): 361–371.
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  • [11] Chayaopas, N. and Assawinchaichote, W. (2013). Speed control of brushless DC mortor with H∞ fuzzy controller based on LMI approach, International Conference Modelling, Indentification and Control, Phuket, Thailand, pp. 21–26.
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  • [17] Han, Z.X. and Feng, G. (1998). State-feedback H∞ controllers design for fuzzy dynamic system using LMI technique, IEEE World Congress on Computational Intelligence, Anchorage, AL, USA, pp. 538–544.
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  • [23] Mansouri, B., Manamanni, N., Guelton, K., Kruszewski, A. and Guerra, T. (2009). Output feedback LMI tracking control conditions with H∞ criterion for uncertain and disturbed T–S models, Journal of the Franklin Institute 179(4): 446–457.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-fbaf7cdc-99bf-4485-aae2-934db4315c2c
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