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Input–Output Stabilizing Controller Synthesis for SISO T–S Fuzzy Systems by Applying Large Gain Theorem

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Abstract

In this paper, using the large gain theorem, an input–output stabilization controller is presented for single input-single output Takagi–Sugeno (T–S) fuzzy systems. By large gain theorem, the feedback interconnected nonlinear system is stable if the product of minimum gain of subsystems is more than one. So first, a feedforward parallel distributed compensator (PDC) is designed to increase (T–S) fuzzy systems minimum gain by employing zero placement idea. The PDCs parameters are obtained by solving a set of LMIs. Then, the control loop is closed by using unit feedback loop. The controller structure is quite new and stability conditions are simple with fewer limitations so that for a wide class of nonlinear systems, linear controllers are acquired. Effectiveness of the proposed method is illustrated by simulation results.

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Authors and Affiliations

  1. Faculty of Electrical Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran

    Ali Ghaderi & Nastaran Vasegh

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  1. Ali Ghaderi
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  2. Nastaran Vasegh
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Correspondence to Ali Ghaderi.

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Ghaderi, A., Vasegh, N. Input–Output Stabilizing Controller Synthesis for SISO T–S Fuzzy Systems by Applying Large Gain Theorem. Int. J. Fuzzy Syst. 18, 550–556 (2016). https://doi.org/10.1007/s40815-015-0116-2

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  • DOI: https://doi.org/10.1007/s40815-015-0116-2

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