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

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Wavelet-based Analysis for Singularly Perturbed Linear Systems Via Decomposition Method

웨이블릿 및 시스템 분할을 이용한 특이섭동 선형 시스템 해석

  • 김범수 (경상대학교 기계항공공학부, 해양산업연구소) ;
  • 심일주 (대림대학 자동화시스템과)
  • Published : 2008.12.01
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Abstract

A Haar wavelet based numerical method for solving singularly perturbed linear time invariant system is presented in this paper. The reduced pure slow and pure fast subsystems are obtained by decoupling the singularly perturbed system and differential matrix equations are converted into algebraic Sylvester matrix equations via Haar wavelet technique. The operational matrix of integration and its inverse matrix are utilized to reduce the computational time to the solution of algebraic matrix equations. Finally a numerical example is given to demonstrate the validity and applicability of the proposed method.

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References

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