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Non-Fragile Robust Strictly Dissipative Control of Disturbed T–S Fuzzy Systems with Input Saturation

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Abstract

In this paper, a non-fragile controller for uncertain disturbed Takagi–Sugeno (T–S) fuzzy systems is proposed based on the non-parallel distributed compensation (non-PDC) concept with strictly (Q, G, R) − α-dissipative criterion. To investigate a general T–S fuzzy model with a practical viewpoint, it is supposed that the T–S model consists of actuator saturation and external disturbances. Moreover, in order to handle the uncertainties of the practical components which realize the gains of the control signal, we consider bounded uncertainties in the controller gains which lead to a non-fragile T–S fuzzy controller. By employing a multiple Lyapunov function for the controller synthesis, less conservative non-PDC design conditions are derived in contrast with the common quadratic Lyapunov function-based ones. Sufficient conditions for the existence of such a controller are derived in terms of linear matrix inequalities (LMIs). Furthermore, to conquer the problem of specification of the upper bounds for the derivative of the grades of T–S fuzzy membership functions, we propose a novel method for obtaining the corresponding LMIs. The success of the developed technique is demonstrated through a numerical example α.

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Authors and Affiliations

  1. Department of Power and Control Engineering, School of Electrical and Computer Engineering, Shiraz University, Zand Street, Shiraz, Iran

    Afrooz Naseri & Mohammad Hassan Asemani

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  1. Afrooz Naseri
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  2. Mohammad Hassan Asemani
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Correspondence to Mohammad Hassan Asemani.

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Naseri, A., Asemani, M.H. Non-Fragile Robust Strictly Dissipative Control of Disturbed T–S Fuzzy Systems with Input Saturation. Circuits Syst Signal Process 38, 41–62 (2019). https://doi.org/10.1007/s00034-018-0850-4

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  • DOI: https://doi.org/10.1007/s00034-018-0850-4

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