AN APPROACH TO WALSH FUNCTIONS FOR OPTIMAL CONTROL OF DETERMINISTIC SYSTEMS

확정계의 최적제어를 위한 WALSH함수 접근

  • Ahn, Doo-Soo (DEPT. Of ELECTRICAL ENG., SUNG KYUN KWAN UNIVERSITY) ;
  • Bae, Jong-Il (DEPT. OF ELECTRICAL ENG., PUSAN INSTITUTE OF TECHNOLOGY) ;
  • Lee, Myung-Kyu (DEPT. Of ELECTRICAL ENG., SUNG KYUN KWAN UNIVERSITY) ;
  • Kim, Jong-Boo (GOLDSTAR SEMICONDUCTOR, LTD.) ;
  • Lee, Seung (DEPT. Of ELECTRICAL ENG., SUNG KYUN KWAN UNIVERSITY)
  • 안두수 (성균관대학교 공과대학 전기공학과) ;
  • 배종일 (국립 부산공업대학 전기공학과) ;
  • 이명규 (성균관대학교 공과대학 전기공학과) ;
  • 김종부 (금성반도체(주) 연구소) ;
  • 이승 (성균관대학교 공과대학 전기공학과)
  • Published : 1989.07.21

Abstract

The optimal control problem of linear Lumped Parameter Systems (LPS) and Distributed Parameter Systems (DPS) is studied by employing the technique of Walsh functions (WF). By the using the elegant operational properties of WF, a direct computational algorithm for evaluating the optimal control and trajectory of LPS and DPS is developed. Without the need of solving the traditional matrix Riccati equation, the WF approach in shown very simple in form and convenient for use of a computer. The approximation is in the sense of least squares employing WF as the basis and the results are in the piecewise constant and discrete form.

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