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Guaranteed cost control for large‐scale systems under control gain perturbations
Author(s) -
Mukaidani Hiroaki,
Tanaka Yoshiyuki,
Mizukami Koichi
Publication year - 2004
Publication title -
electrical engineering in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.136
H-Index - 28
eISSN - 1520-6416
pISSN - 0424-7760
DOI - 10.1002/eej.10265
Subject(s) - control theory (sociology) , linear matrix inequality , norm (philosophy) , cost control , quadratic equation , bounded function , scale (ratio) , mathematical optimization , control (management) , state (computer science) , robust control , mathematics , decentralised system , control system , computer science , engineering , statistics , mathematical analysis , geometry , electrical engineering , artificial intelligence , political science , law , physics , quantum mechanics , algorithm
The guaranteed cost control problem of the decentralized robust control for large‐scale systems with the norm‐bounded time‐varying parameter uncertainties and a given quadratic cost function is considered. Sufficient conditions for the existence of guaranteed cost controllers are given in terms of linear matrix inequality (LMI). It is shown that decentralized local state feedback controllers can be obtained by solving the LMI. The problem of guaranteed cost control for large‐scale systems under the gain perturbations is also considered. © 2004 Wiley Periodicals, Inc. Electr Eng Jpn, 146(4): 43–57, 2004; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.10265