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 |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Fulltext.pdf | 144.36 kB | Adobe PDF | View/Open |
Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.