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Robust sample-data H∞ control with stochastic sampling

Gao, Huijun and Wu, Junli and Shi, Peng (2009) Robust sample-data H∞ control with stochastic sampling. Automatica, 45 (7). pp. 1729-1736. ISSN 0005-1098

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Abstract

In this paper, the problem of robust H∞ control is investigated for sampled-data systems with probabilistic sampling. The parameter uncertainties are time-varying norm-bounded and appear in both the state and input matrices. For the simplicity of technical development, only two different sampling periods are considered whose occurrence probabilities are given constants and satisfy Bernoulli distribution, which can be further extended to the case with multiple stochastic sampling periods. By applying an input-delay approach, the probabilistic sampling system is transformed into a continuous time-delay system with stochastic parameters in the system matrices. By linear matrix inequality (LMI) approach, sufficient conditions are obtained, which guarantee the robust mean-square exponential stability of the system with an H∞ performance. Moreover, an H∞ controller design procedure is then proposed. An illustrative example is included to demonstrate the effectiveness of the proposed techniques.

Item Type: Article
Uncontrolled Keywords: ResPubID17664, sampled-data systems, H∞ control, input delay, parameter uncertainty, variable sampling
Subjects: Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
FOR Classification > 0906 Electrical and Electronic Engineering
SEO Classification > 970109 Expanding Knowledge in Engineering
Depositing User: VUIR
Date Deposited: 31 May 2011 05:07
Last Modified: 20 Jul 2011 03:56
URI: http://vuir.vu.edu.au/id/eprint/4298
DOI: 10.1016/j.automatica.2009.03.004
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Citations in Scopus: 79 - View on Scopus

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