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https://hdl.handle.net/2440/116210
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Type: | Journal article |
Title: | Reliable mixed H∞ and passivity-based control for fuzzy Markovian switching systems with probabilistic time delays and actuator failures |
Other Titles: | Reliable mixed H-infinity and passivity-based control for fuzzy Markovian switching systems with probabilistic time delays and actuator failures |
Author: | Sakthivel, R. Selvi, S. Mathiyalagan, K. Shi, P. |
Citation: | IEEE Transactions on Cybernetics, 2015; 45(12):2720-2731 |
Publisher: | IEEE |
Issue Date: | 2015 |
ISSN: | 2168-2267 2168-2275 |
Statement of Responsibility: | Rathinasamy Sakthivel, Subramaniam Selvi, Kalidass Mathiyalagan and Peng Shi |
Abstract: | This paper is concerned with the problem of reliable mixed H∞ and passivity-based control for a class of stochastic Takagi-Sugeno (TS) fuzzy systems with Markovian switching and probabilistic time varying delays. Different from the existing works, the H∞ and passivity control problem with probabilistic occurrence of time-varying delays and actuator failures is considered in a unified framework, which is more general in some practical situations. The main aim of this paper is to design a reliable mixed H∞ and passivity-based controller such that the stochastic TS fuzzy system with Markovian switching is stochastically stable with a prescribed mixed H∞ and passivity performance level γ > 0 . Based on the Lyapunov-Krasovskii functional (LKF) involving lower and upper bound of probabilistic time delay and convex combination technique, a new set of delay-dependent sufficient condition in terms of linear matrix inequalities (LMIs) is established for obtaining the required result. Finally, a numerical example based on the modified truck-trailer model is given to demonstrate the effectiveness and applicability of the proposed design techniques. |
Keywords: | Fuzzy system; mixed H∞ and passivity case; probabilistic time delay |
Rights: | © 2015 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission. See http://www.ieee.org/publications_standards/publications/rights/index.html for more information. |
DOI: | 10.1109/TCYB.2014.2382563 |
Published version: | http://dx.doi.org/10.1109/tcyb.2014.2382563 |
Appears in Collections: | Aurora harvest 8 Electrical and Electronic Engineering publications |
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