Sliding Mode H^∞-Control with Stochastic Time Delay Systems

Abstract:

In this paper, we concerned the problem of sliding mode of-control with stochastic stabilization of uncertainty. Some sufficient conditions are derived for this class of robust feedback stabilization of time delay systems. The stochastic time delay systems may switch from one to one corresponds of linear filter, such that the dynamics of estimation error is guaranteed to be stochastically stable in mean square. Moreover, it is shown that for a class of special linear stochastic neutral systems, the H-sliding mode control design can be obtained by solving linear matrix inequalities (LMIs).

• Periodical: Applied Mechanics and Materials (Volumes 321-324)
• Pages: 1712-1718
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.321-324.1712
• Online since: June 2013
• Authors: Ravi Kumar, Kil To Chong*
• Keywords: H-Control, Lyapunov Function, Neutral Type, Stochastic Delay

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