IRI - LMI conditions for stability and state-feedback H∞ control of discrete-time multimode multidimensional systems

Publication

LMI conditions for stability and state-feedback H∞ control of discrete-time multimode multidimensional systems

Journal Article (2022)

Journal

IEEE Control Systems Letters

Pages

2876-2881

Volume

Doc link

https://doi.org/10.1109/LCSYS.2022.3179941

File

Download the digital copy of the doc pdf document

Authors

Abstract

This letter deals with stability and state feedback control of discrete-time Multi-Mode Multi-Dimensional ( M³D ) linear systems. The M³D switch dynamics are modeled through a state mapping describing the mode transitions. This M³D model framework then allows to consider poly-quadratic Lyapunov functions to obtain Linear Matrix Inequalities conditions for stability proof and for the synthesis of state-feedback controllers under H∞ performance. A numerical example illustrates the improvement of the controller synthesis conditions here introduced for discrete-time M³D systems over independent point-wise mode solutions.

Scientific reference

A. Medero, O. Sename and V. Puig. LMI conditions for stability and state-feedback H∞ control of discrete-time multimode multidimensional systems. IEEE Control Systems Letters, 6: 2876-2881, 2022.