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Dissipative Output Tracking Control of Linear Systems with Time Delay
Author(s) -
Yi Zhang,
Yile Zhang,
Jinghao Li,
Baoyan Zhu
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/324741
Subject(s) - dissipative system , control theory (sociology) , tracking (education) , mathematics , controller (irrigation) , control (management) , tracking error , linear matrix inequality , matrix (chemical analysis) , state (computer science) , computer science , mathematical optimization , algorithm , physics , biology , psychology , pedagogy , materials science , quantum mechanics , artificial intelligence , agronomy , composite material
The problem of dissipative output tracking control of linear systems with time delay is investigated. Firstly, an augmented system is constructed to describe dissipative output tracking control error, and the concept of dissipative output tracking is defined. Based on this, some sufficient conditions are derived in terms of linear matrix inequalities (LMIs) technique, which ensure that the augmented system is dissipative and stable; then design methods of dissipative output tracking state-feedback controller are provided, and the desired controller gain can be expressed through the solutions of LMIs. Finally, a numerical simulation example is given to illustrate the validity of the proposed results

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