Analysis and Optimal Control of Linear Time-delay Systems via Fast Walsh Transform

고속윌쉬변환에 의한 선형시지연계의 해석 및 최적제어

  • Han, Sang-In (Korea Power Engineering Corporation) ;
  • Lee, Myeong-Gyu (Dept.of Electrical Electronics Computer Engineering, Kyungsung University) ;
  • Kim, Jin-Tae (Dept.of Electric Electronics Computer Engineering, Sungkyunkwan University) ;
  • An, Du-Su (Dept.of Electric Electronics Computer Engineering, Sungkyunkwan University)
  • 한상인 (한국전력기술(주)) ;
  • 이명규 (경성대 전기전자·컴퓨터공학부) ;
  • 김진태 (성균관대 전기전자 및 컴퓨터공학부) ;
  • 안두수 (성균관대 전기전자 및 컴퓨터공학부)
  • Published : 1999.05.01

Abstract

A Walsh function method is proposed in this report for the analysis and optimal control of linear time-delay systems, which is based on the Picard's iterative approximation and fast Walsh transformation. In this research, the following results are obtained: 1) The differential and integral equation can be solved by transforming into a simple algebraic equation as it was possible with the usual orthogonal function method: 2) General orthogonal function methods require usage of Walsh operational matrices for delay or advance and many calculations of inverse matrices, which are not necessary in this method. Thus, the control problems of linear time-delay systems can be solved much faster and readily.

Keywords

References

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