Guerra, Thierry Marie (Univ Of Valenciennes Hainaut-Cambresis), Nguyen, Anh-Tu (LAMIH UMR CNRS 8201, University of Valenciennes), Defoort, Michael (University of Valenciennes)

Control of SISO non-affine-in-control discrete-time systems using Takagi-Sugeno models

Scheduled for presentation during the Invited Session "Recent advances in fuzzy model-based design: theory and applications" (WeBSP), Wednesday, August 21, 2019, 17:10−17:30,

5th IFAC International Conference on Intelligent Control and Automation Sciences, August 21-23, 2019, Queen’s University Belfast, Northern Ireland

This information is tentative and subject to change. Compiled on April 26, 2024

Abstract

This paper deals with the stabilization problem for single-input-single-output (SISO) non-affine-in-control nonlinear discrete-time systems. Generally, this non-affine-in-control problem leads to algebraic loops and a classical solution consists in using dynamic extensions. Based on Takagi-Sugeno (T-S) quasi-linear parameter varying (quasi-LPV) models, we propose to keep the scheme of the classical LMI-based control design framework, i.e. similar as when the membership functions of the T-S model do not depend on the control input. In particular, some properties of finite time convergence are exploited to “break” the algebraic loop problem. Numerical simulations are provided to demonstrate the interests of the proposed control approach.