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Reliable H^sub [Infinity]^ Stabilization of Fuzzy Systems with Random Delay Via Nonlinear Retarded Control

(ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image) In this paper, the robust reliable ... control problem has been investigated for a class of nonlinear discrete-time TS fuzzy systems with random delay. In particular, the proposed fuzzy system consists of local nonlinear mod...

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Bibliographic Details
Published in:Circuits, systems, and signal processing systems, and signal processing, 2016-04, Vol.35 (4), p.1123
Main Authors: Sakthivel, R, Sundareswari, K, Mathiyalagan, K, Santra, Srimanta
Format: Article
Language:English
Online Access:Get full text
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Summary:(ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image) In this paper, the robust reliable ... control problem has been investigated for a class of nonlinear discrete-time TS fuzzy systems with random delay. In particular, the proposed fuzzy system consists of local nonlinear models with set of fuzzy rules, but the conventional TS fuzzy systems has local linear models. Our attention is focused on the design of a feedback reliable nonlinear retarded control law to ensure the robust asymptotic stability for nonlinear discrete-time TS fuzzy system with admissible uncertainties as well as actuator failure cases and random delay. In particular, by using an input delay approach, the random delay with stochastic parameters in the system matrices is introduced in the system model. Based on the Lyapunov approach, firstly, a sufficient condition for asymptotic stability is proposed for TS fuzzy systems in the presence of actuator failures. Then, a robust reliable ... control is designed for the uncertain TS fuzzy system by solving a strict linear matrix inequalities using the available numerical software. Finally, a numerical example based on real-time ball and beam system is provided to validate the effectiveness of the proposed design technique.
ISSN:0278-081X
1531-5878
DOI:10.1007/s00034-015-0115-4