Optimum Tuning of Modified PID Controller using Properties of the Affine Set

아핀 집합의 특성을 이용한 변형된 PID 제어기의 최적 동조

  • Kim Chang-Hyun (Dep. of Electrical Eng., Graduate School, Hanyang University) ;
  • Lim Dong-Kyun (Dep. of Computer, Science Hanyang Cyber University) ;
  • Suh Byung-Sulh (Div. of Electrical, Control and Biomedical Eng. Hanyang University)
  • 김창현 (한양대학교 전기공학과) ;
  • 임동균 (한양사이버대학교 컴퓨터학과) ;
  • 서병설 (한양대학교 전기제어생체공학부)
  • Published : 2005.11.01

Abstract

In this paper, we propose a PID-PD controller and its tuning method to be modified form of PID controller that consist of the affine set of PID and PI-PD controller by analyzing relation between these controllers. The proposed tuning method controls the closed-loop system to locate between the step responses of system controlled by PID and PI-PD controller. The controller is designed by the optimum tuning method to minimize the proposed specific cost functions. Its effectiveness is examined by the case studies and their analysis.

본 논문에서는 PID 제어기와 PI-PD 제어기 사이의 관계를 분석하여 이 두 제어기의 affine 집합을 구성하는 PID 제어기의 변형된 형태인 PID-PD 제어기와 그 동조 방법을 새롭게 제안한다. 제안된 설계 방법은 PID와 PI-PD 제어기를 이용한 전체 폐루프 시스템인 시간 응답을 경계로 그 사이의 응답을 보이도록 설계할 수 있다. 그 동조 방법으로 특정한 가격함수를 선정하여 이를 최소화하는 최적 동조법을 적용하여 제어를 설계하였다. 제안된 제어기의 유용성을 사례 연구와 분석을 통해 검토했다.

Keywords

References

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