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Robust Finite-Time ℋ ∞ Control for Uncertain Systems Subject to Intermittent Measurements

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  • Zhenghong Deng

Abstract

This paper investigates the robust finite-time ℋ ∞ controller design problem of discrete-time systems with intermittent measurements. It is assumed that the system is subject to the norm-bounded uncertainties and the measurements are intermittent. The Bernoulli process is used to describe the phenomenon of intermittent measurements. By substituting the state-feedback controller into the system, a stochastic closed-loop system is obtained. Based on the analysis of the robust stochastic finite-time stability and the ℋ ∞ performance, the controller design method is proposed. The controller gain can be calculated by solving a sequence of linear matrix inequalities. Finally, a numerical example is used to show the design procedure and the effectiveness of the proposed design methodology.

Suggested Citation

  • Zhenghong Deng, 2012. "Robust Finite-Time â„‹ ∞ Control for Uncertain Systems Subject to Intermittent Measurements," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-15, September.
    • Handle: RePEc:hin:jnddns:504356
    DOI: 10.1155/2012/504356
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