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Control of SISO Non-Affine-in-Control discrete systems using Takagi-Sugeno models

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.
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Submitted on : Tuesday, November 30, 2021 - 2:06:18 PM
Last modification on : Thursday, May 19, 2022 - 6:32:53 PM


  • HAL Id : hal-03457203, version 1



Thierry-Marie Guerra, Tran Anh-Tu Nguyen, Michael Defoort. Control of SISO Non-Affine-in-Control discrete systems using Takagi-Sugeno models. 5th IFAC Conference on Intelligent Control and Automation Sciences ICONS 2019, Aug 2019, Belfast, United Kingdom. pp.79-84. ⟨hal-03457203⟩



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