Robust Control for Discrete-Time Stochastic Interval System with Time Delay

Shengchun Yu, Guici Chen and Yi Shen

Mathematical Problems in Engineering, 2013, vol. 2013, 1-8

Abstract:

The robust control problem for discrete-time stochastic interval system (DTSIS) with time delay is investigated in this paper. The stochastic interval system is equivalently transformed into a kind of stochastic uncertain time-delay system firstly. By constructing the appropriate Lyapunov-Krasovskii functional, the sufficient conditions for the existence of the robust controller for DTSIS are obtained in terms of linear matrix inequality (LMI) form, and the robust controller is designed. Finally, a numerical example with simulation is given to show the effectiveness and correctness of the designed robust controller.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:163769

DOI: 10.1155/2013/163769

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