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Title: | A note on control of a class of discrete-time stochastic systems with distributed delays and nonlinear disturbances |
Authors: | Wang, Z Liu, Y Wei, G Liu, X |
Keywords: | Discrete-time nonlinear stochastic system;Mixed time delays;Lyapunov–Krasovskii functional;Linear matrix inequality |
Issue Date: | 2010 |
Publisher: | Elsevier |
Citation: | Automatica, 46(3): 543-548, Mar 2010 |
Abstract: | This paper is concerned with the state feedback control problem for a class of discrete-time stochastic systems involving sector nonlinearities and mixed time-delays. The mixed time-delays comprise both discrete and distributed delays, and the sector nonlinearities appear in the system states and all delayed states. The distributed time-delays in the discrete-time domain are first defined and then a special matrix inequality is developed to handle the distributed time-delays within an algebraic framework. An effective linear matrix inequality (LMI) approach is proposed to design the state feedback controllers such that, for all admissible nonlinearities and time-delays, the overall closed-loop system is asymptotically stable in the mean square sense. Sufficient conditions are established for the nonlinear stochastic time-delay systems to be asymptotically stable in the mean square sense, and then the explicit expression of the desired controller gains is derived. A numerical example is provided to show the usefulness and effectiveness of the proposed design method. |
Description: | The official published version of this article can be found at the link below. |
URI: | http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V21-4Y9V8DR-1&_user=545641&_coverDate=03%2F31%2F2010&_rdoc=1&_fmt=high&_orig=search&_origin=search&_sort=d&_docanchor=&view=c&_searchStrId=1623205620&_rerunOrigin=google&_acct=C000027918&_version=1&_urlVersion=0&_userid=545641&md5=d439f799e94bc114d7dca5e6b53736ce&searchtype=a http://bura.brunel.ac.uk/handle/2438/4706 |
DOI: | http://dx.doi.org/10.1016/j.automatica.2009.11.020 |
ISSN: | 0005-1098 |
Appears in Collections: | Computer Science Dept of Computer Science Research Papers |
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