Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/7326
Title: Probability-dependent gain-scheduled control for discrete stochastic delayed systems with randomly occurring nonlinearities
Authors: Wei, G
Wang, Z
Shen, B
Keywords: Gain-scheduled control;Randomly occurring nonlinearities;Time-varying Bernoulli distribution;Probability-dependent Lyapunov function;Sector-nonlinearity;Parameter-varying systems;Discrete-time stochastic systems
Issue Date: 2012
Publisher: John Wiley & Sons, Ltd
Citation: International Journal of Robust and Nonlinear Control, 23(7): 815-826, May 2012
Abstract: In this paper, the gain-scheduled control problem is addressed by using probability-dependent Lyapunov functions for a class of discrete-time stochastic delayed systems with randomly occurring sector nonlinearities. The sector nonlinearities are assumed to occur according to a time-varying Bernoulli distribution with measurable probability in real time. The multiplicative noises are given by means of a scalar Gaussian white noise sequence with known variances. The aim of the addressed gain-scheduled control problem is to design a controller with scheduled gains such that, for the admissible randomly occurring nonlinearities, time delays and external noise disturbances, the closed-loop system is exponentially mean-square stable. Note that the designed gain-scheduled controller is based on the measured time-varying probability and is therefore less conservative than the conventional controller with constant gains. It is shown that the time-varying controller gains can be derived in terms of the measurable probability by solving a convex optimization problem via the semi-definite programme method. A simulation example is exploited to illustrate the effectiveness of the proposed design procedures.
Description: This is the post-print version of the Article. The official published version can be accessed from the links below - Copyright @ 2012 John Wiley & Sons, Ltd.
URI: http://onlinelibrary.wiley.com/doi/10.1002/rnc.2788/abstract
http://bura.brunel.ac.uk/handle/2438/7326
DOI: http://dx.doi.org/10.1002/rnc.2788
ISSN: 1049-8923
Appears in Collections:Publications
Computer Science
Dept of Computer Science Research Papers

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