Control of SISO non-affine-in-control discrete-time systems using Takagi-Sugeno models. Issue 11 (2019)

• Record Type: Journal Article
• Authors: Guerra, Thierry-Marie; Nguyen, Anh-Tu; Defoort, Michaël
• Is Part Of: IFAC-PapersOnLine. Volume 52:Issue 11(2019)
• Page Start: 79
• Page End: 84
• Publication Date: 2019
• Subjects: Linear matrix inequality -- non-affine systems -- finite time stability -- dynamic control; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2019.09.121
• Languages: English
• ISSNs: 2405-8963

Abstract

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.