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Decentralized guaranteed cost control for uncertain large‐scale systems using additive control gain
Author(s) -
Mukaidani Hiroaki,
Kimoto Minoru
Publication year - 2009
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.20726
Subject(s) - control theory (sociology) , controller (irrigation) , decentralised system , linear matrix inequality , gain scheduling , fuzzy logic , control (management) , scale (ratio) , control system , fuzzy control system , mathematics , automatic gain control , mathematical optimization , computer science , engineering , geography , cartography , electrical engineering , artificial intelligence , agronomy , biology , amplifier , computer network , bandwidth (computing)
This paper investigates an application of additive control gain to the guaranteed cost control (GCC) problem of decentralized robust control for a class of discrete‐time uncertain large‐scale systems. Based on the Linear Matrix Inequality (LMI) design approach, a class of decentralized local fixed state feedback controllers with additive control gain is established. The novel contribution of this paper is that multiobjective control is attained by using the additive control gain. Although the additive control gain is included in the uncertain large‐scale systems, the closed‐loop system is asymptotically stable. In order to demonstrate the efficiency of our proposed controller, using the fuzzy logic control as the additive control gain, the simple numerical example is given. © 2009 Wiley Periodicals, Inc. Electr Eng Jpn, 169(3): 18–32, 2009; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.20726