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

Abdelhafidh Jaadari (1) , Thierry-Marie Guerra (1) , Antonio Sala (2) , Miguel Bernal (3)

1 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201
2 IAII - Instituto de Automática e Informática Industrial [Valencia]
3 Sonora Institute of Technology

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.

Domaines: Sciences de l'ingénieur [physics]; Automatique / Robotique

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. ⟨10.1109/acc.2013.6580722⟩. ⟨hal-03462766⟩