Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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A Balanced Model Reduction for Linear Parameter Varying Systems

시변 파라메터를 갖는 선형시스템의 균형화된 모델 간략화

  • Yoo, Seog-Hwan (Dept.of Information Communication Engineering, Daegu University)
  • 류석환 (대구대학교 정보통신공학부)
  • Published : 2002.05.01
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Abstract

This papaer deals with a model reduction problem for linear systems with time varying parameters. For this problem, a controllability Grammian and an observability Grammian are introduced and computed by solving linear matrix inequalities. Using the controllability/observability Grammian, a balanced state space realization for linear parameter varying systems is obtained. From the balanced state space realization, a reduced model can be obtained by truncating not only states but also time varying parameters and an upper bound of the model reduction error is derived as well.

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References

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