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Type: Conference paper
Title: Gain scheduled H-infinity control for nonlinear stochastic systems with mixed uncertainties
Author: Liu, Y.
Yin, Y.
Liu, F.
Shi, P.
Teo, K.
Citation: Proceedings of the 2013 IEEE 8th Conference on Industrial Electronics and Applications (ICIEA) 19 – 21 June 2013 Melbourne, Australia: pp.1544-1549
Publisher: IEEE
Publisher Place: USA
Issue Date: 2013
Series/Report no.: IEEE Conference on Industrial Electronics and Applications
ISBN: 9781467363228
ISSN: 2156-2318
Conference Name: IEEE Conference on Industrial Electronics and Applications (8th : 2013 : Melbourne, Australia)
Statement of
Yanqing Liu Yanyan Yin and Fei Liu, Peng Shi, Kok Lay Teo
Abstract: This paper studies the problem of robust gain-scheduled H∞ controller design for a class of nonlinear Markov jump systems with mixed uncertainties, one is time-varying transition probabilities, which follows a nonhomogeneous jump process, and the other one is parameter uncertainty. Nonlinearity of such systems is linearized by means of gradient linearization procedure, and stochastic linear models are constructed in the vicinity of selected operating states, the time varying transition probability matrix is described as a polytope set. By Lyapunov function approach, under the designed controller, a sufficient condition is presented to ensure the resulting closed-loop system is stochastically stable and a prescribed H∞ performance index is satisfied. Finally, continuous gain-scheduled approach is employed to design continuous time-varying controller on the entire nonlinear jump system. A simulation example is given to illustrate the effectiveness of developed techniques. © 2013 IEEE.
Rights: © 2013 IEEE
DOI: 10.1109/ICIEA.2013.6566613
Appears in Collections:Aurora harvest
Electrical and Electronic Engineering publications

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