<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This paper addresses the problem of model-based global stability analysis of discrete-time Takagi-Sugeno multiregional dynamic output controllers with static antiwindup filters. The presented analyses are reduced to the problem of a feasibility study of the Linear Matrix Inequalities (LMIs), derived based on Lyapunov stability theory. Two sets of LMIs are considered candidate derived from the classical common quadratic Lyapunov function, which may in some cases be too conservative, and a fuzzy Lyapunov function candidate, which has been proven to significantly reduce the conservatism level, although at the cost of increasing the number of LMIs. Two numerical examples illustrate the main result.</p></abstract>

This paper addresses the problem of model-based global stability analysis of discrete-time Takagi-Sugeno multiregional dynamic output controllers with static antiwindup filters. The presented analyses are reduced to the problem of a feasibility study of the Linear Matrix Inequalities (LMIs), derived based on Lyapunov stability theory. Two sets of LMIs are considered candidate derived from the classical common quadratic Lyapunov function, which may in some cases be too conservative, and a fuzzy Lyapunov function candidate, which has been proven to significantly reduce the conservatism level, although at the cost of increasing the number of LMIs. Two numerical examples illustrate the main result.

Stability of softly switched multiregional dynamic output controllers with a static antiwindup filter: A discrete-time case

Department of Control System Engineering Gdańsk University of Technology, ul. Narutowicza 11/12, 80-233 Gdańsk, Poland

School of Electronic, Electrical and Computer Engineering College of Engineering and Physical Sciences University of Birmingham, Birmingham B15 2TT, UK

International Journal of Applied Mathematics and Computer Science

This paper addresses the problem of model-based global stability analysis of discrete-time Takagi-Sugeno multiregional dynamic output controllers with static...

Stability of softly switched multiregional dynamic output controllers with a static antiwindup filter: A discrete-time case

Published Online: Mar 26, 2013

Page range: 65 - 73

DOI: https://doi.org/10.2478/amcs-2013-0006

This content is open access.