Stochastic sampled data robust stabilisation of T-S fuzzy neutral systems with randomly occurring uncertainties and time-varying delays. Issue 10 (26th July 2016)

• Record Type: Journal Article
• Authors: Rakkiyappan, R.; Chandrasekar, A.; Lakshmanan, S.
• Is Part Of: International journal of systems science. Volume 47:Issue 10(2016)
• Page Start: 2247
• Page End: 2263
• Publication Date: 2016-07-26
• Subjects: T-S fuzzy systems -- combined convex technique -- randomly occurring uncertainties -- stochastic sampling -- sampled-data control; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2014.981236
• Languages: English
• ISSNs: 0020-7721

Abstract

Abstract : This paper is concerned with the stochastic sampled data robust stabilisation of T-S fuzzy neutral systems with randomly occurring uncertainties and time-varying delays. The sampling period is assumed to be m in number, whose occurrence probabilities are given constants and satisfy Bernoulli distribution. By introducing an improved Lyapunov–Krasovskii functional with new triple integral terms and by combining both the convex combination technique and reciprocal convex technique, delay-dependent robust stability criteria are obtained in terms of linear matrix inequalities. These linear matrix inequalities can be easily solved by using standard convex optimisation algorithms. The designed stochastic sampled data fuzzy controller gain can be obtained. Finally, three numerical examples are given to illustrate the effectiveness of the proposed methods.