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Non-quadratic local stabilization for continuous-time Takagi-Sugeno models

Abstract : This paper is concerned with non-quadratic stabilization of continuous-time Takagi-Sugeno (TS) models. The well-known problem of handling time-derivatives of membership functions (MFs) as to obtain conditions in the form of linear matrix inequalities (LMIs) is overcome by reducing global goals to the estimation of a region of attraction. Instead of parallel distributed compensation (PDC), a non-PDC control law is proposed according to the non-quadratic nature of the Lyapunov function. Examples are provided to show the advantages over the quadratic and some non-quadratic approaches.
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Submitted on : Thursday, February 21, 2013 - 10:37:08 PM
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Thierry-Marie Guerra, Miguel Bernal, Kevin Guelton, Salim Labiod. Non-quadratic local stabilization for continuous-time Takagi-Sugeno models. Fuzzy Sets and Systems, Elsevier, 2012, 201, pp.40-54. ⟨10.1016/j.fss.2011.12.003⟩. ⟨hal-00793244⟩

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