Robust Finite‐Time ℋ∞ Control for Uncertain Systems Subject to Intermittent Measurements | Zendy

Zhenghong Deng | Zendy

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Robust Finite‐Time ℋ_∞ Control for Uncertain Systems Subject to Intermittent Measurements

Author(s) -

Zhenghong Deng

Publication year - 2012

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2012/504356

Subject(s) - control theory (sociology) , bernoulli's principle , controller (irrigation) , computer science , bounded function , discrete time and continuous time , norm (philosophy) , linear matrix inequality , robust control , stability (learning theory) , mathematics , mathematical optimization , control system , control (management) , engineering , mathematical analysis , agronomy , statistics , electrical engineering , artificial intelligence , law , political science , biology , aerospace engineering , machine learning

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

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