Non-PDC Controller design for Uncertain Discrete-Time T-S Descriptor Models Subject to Input Saturation.

EasyChair Preprint no. 2725

Abstract

This paper is concerned with the stabilization of uncertain discrete-time descriptor models subject to input saturation and external disturbances. The design control strategy is based on Takagi-Sugeno (T-S) approach and a non parallel distributed compensation (non-PDC) control law. To synthesis the fuzzy controller, the stability conditions are derived using non-quadratic Lyapunov functions with respect to the given saturation constraint on the control input. The optimization problem is formulated in terms of linear matrix inequalities (LMIs). Numerical examples illustrate the efficiency of the proposed approaches.
 

Keyphrases: actuator saturation, disturbances, linear matrix inequalities (LMIs), Non-PDC static state feedback control law, Non-quadratic Lyapunov function, stability analysis, Uncertain Takagi-Sugeno descriptor models

@Booklet{EasyChair:2725,
  author = {Ines Righi and Sabrina Aouaouda and Mohammed Chadli},
  title = {Non-PDC Controller design for Uncertain Discrete-Time T-S Descriptor Models Subject to Input Saturation.},
  howpublished = {EasyChair Preprint no. 2725},

  year = {EasyChair, 2020}}