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Finsler’s relaxation for local H-infinity controller design of continuous-time Takagi-Sugeno models via non-quadratic Lyapunov functions

Abstract : This paper presents a new robust controller design based on non-quadratic Lyapunov functions for continuous-time Takagi-Sugeno Models. Using non-PDC controller and Finsler's Lemma, the new scheme leads to the design of a local H infinity controller ensuring external disturbance attenuation, and a way to handle the time-derivative of the membership functions. Conditions for robust stabilization are given in the form of Linear Matrix inequalities. Examples are given to illustrate the effectiveness of the proposed method.
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Submitted on : Thursday, December 2, 2021 - 9:21:24 AM
Last modification on : Friday, December 3, 2021 - 3:47:56 AM

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  • HAL Id : hal-03462766, version 1

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Abdelhafidh Jaadari, Thierry-Marie Guerra, Antonio Sala, Miguel Bernal. Finsler’s relaxation for local H-infinity controller design of continuous-time Takagi-Sugeno models via non-quadratic Lyapunov functions. American Control Conference, Jun 2013, Washington DC, United States. ⟨hal-03462766⟩

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