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http://dx.doi.org/10.5391/JKIIS.2006.16.2.144

A Balanced Model Reduction for Uncertain Nonlinear Systems  

Yoo, Seog-Hwan (대구대학교 전자공학부)
Choi, Byung-Jae (대구대학교 전자공학부)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.16, no.2, 2006 , pp. 144-149 More about this Journal
Abstract
This paper deals with a balanced model reduction for uncertain nonlinear systems via T-S fuzzy approach. We define a generalized controllability/observability gramian and obtain a balanced state space model using generalized gramians which can be obtained from solutions of linear matrix inequalities. We present a balanced model reduction scheme by truncating not only state variables but also uncertain elements. An upper bound of the model reduction error will also be suggested. In order to demonstrate the efficacy of our method, a numerical example will be presented.
Keywords
balanced model reduction; T-S fuzzy system; generalized controllability; observability gramian; linear matrix inequality;
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