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A Balanced Model Reduction for Linear Delayed Systems  

유석환 (대구대학교 정보통신공학과)
Publication Information
Journal of the Institute of Electronics Engineers of Korea SC / v.40, no.5, 2003 , pp. 326-332 More about this Journal
Abstract
This paper deals with a model reduction for linear systems with time varying delayed states. A generalized controllability and observability gramians are defined and obtained by solving linear matrix inequalities. Using the generalized controllability and observability gramians, the balanced state space equation is realized. The reduced model can be obtained by truncating states in the balanced realization and the upper bound of model approximation error is also presented. In order to demonstrate efficacy of the suggested method, a numerical example is performed.
Keywords
generalized controllability / observability Gramian; model reduction linear matrix inequality;
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