Title :
Brief Paper: Improved exponential stability criteria and stabilisation of T-S model-based neutral systems
Author :
Zhou, Shiyu ; Zhou, Liang
Author_Institution :
Dept. of Autom., Hangzhou Dianzi Univ., Hangzhou, China
fDate :
12/1/2010 12:00:00 AM
Abstract :
This study deals with the β-exponential stability and stabilisation problems for a class of T-S model-based neutral systems. To solve these problems, new LyapunovβKrasovskii functional candidates for this class of systems can be chosen by using the delay-decomposition approach and introducing some exponential functions into corresponding integrands. β-exponential stability conditions of the TβS model-based neutral systems are established by using the LyapunovβKrasovskii functional and a modification integral inequality. An LMI-based state feedback controller design strategy for this class of systems is proposed based on one of the β-exponential stability conditions. Two numerical examples are also provided to illustrate the effectiveness of the proposed approach.
Keywords :
asymptotic stability; control system synthesis; delays; linear matrix inequalities; state feedback; LMI-based state feedback controller design; Lyapunov-Krasovskii functional candidates; T-S model-based neutral systems; delay-decomposition approach; exponential stability; integral inequality; stabilisation;
Journal_Title :
Control Theory & Applications, IET
DOI :
10.1049/iet-cta.2009.0459