H2 State Feedback Sampled-data Control for Markov Jump Linear Systems

被引:0
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作者
Gabriel, Gabriela W. [1 ]
Souza, Matheus [1 ]
Geromel, Jose C. [1 ]
机构
[1] Univ Estadual Campinas, Sch Elect & Comp Engn, Campinas, SP, Brazil
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中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper is entirely devoted to analyzing the H-2 optimal state feedback sampled-data control design problem for Markov Jump Linear Systems. Our propose is to search for a solution to this problem by imbedding it in a more general class of dynamical systems, which we call Hybrid Markov Jump Linear System (HMJLS). In this new and wide context, we show how to calculate a sampled-data state feedback control that minimizes the H-2 performance index associated to the closed-loop system from the solution of a specific two-point boundary value problem. This result is adapted to provide optimal control conditions based on linear matrix inequalities (LMIs). The theory is illustrated by means of an academical example.
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页码:4355 / 4360
页数:6
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