H∞model reduction of linear continuous-time systems over finite frequency interval-LMI based approach

Authors:
Xin Du;Guang-Hong Yang
Affiliations:
College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China;College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China and Key Laboratory of Integrated Automation of Process Industry, Northeastern University, Shenyan ...
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

Citing 6
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Abstract

This paper studies the model reduction problem for linear continuous-time systems over finite frequency interval. Different form the existing methods in the literature, we resort the problem to the aid of recently developed Generalized Kalman-Yakubovich-Popov (GKYP) lemma. A finite frequency H∞ model reduction design method is presented in terms of solutions to a set of linear matrix inequalities (LMIs). Numerical examples are included for illustration.