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New bounded real lemma for singular Markovian jump systems: Application to H ∞ control
Author(s) -
Park Chaneun,
Kwon Nam Kyu,
Park PooGyeon
Publication year - 2021
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.5340
Subject(s) - lemma (botany) , mathematics , control theory (sociology) , bounded function , matrix (chemical analysis) , jump , control (management) , computer science , mathematical analysis , ecology , physics , poaceae , quantum mechanics , artificial intelligence , biology , materials science , composite material
Abstract This article proposes a new strictly bounded real lemma (BRL) for continuous‐time singular Markovian jump systems (SMJSs) in terms of strict linear matrix inequalities (LMIs). While the previous studies have been done for SMJSs that do not have a path from disturbances to desired output, the proposed BRL covers SMJSs with disturbance‐contaminated output by introducing additional free matrix variables. Based on the proposed BRL, the sufficient condition for state‐feedback stabilization is successfully obtained in terms of strict LMIs. The result leads to find the minimalℋ ∞performance by solving the optimization problem subject to the suggested LMIs. Two examples show the less conservatism of proposed method compared with the previous work.