샘플데이타 제어시스템 설계를 위한 새로운 고전기법

Abstract

본 논문은 샘플데이타 제어시스템을 위한 새로운 직접설계방법(Direct Design method)을 제안한다. 그 제안된 기법은 아날로그 제어기설계 방법을 직접적으로 디지탈 제어기설계에 응용한 것으로 이는 w-Domain에서의 근궤적법을 이용한 하나의 고전기법이다. 고전기법으로 부터 얻은 아날로그 제어기설계 경험을 살려 샘플데이타 제어시스템을 설계하기 위해 우선 w-Domain이라는 새로운 복소수 영역과 안정성 판별기준을 정의하고그 영역에서 상태방정식으로 표현된 샘플데이타 시스템을 제안한다. 또한 그 영역에서 근궤적법으로 설계된 제어기를 디지탈 제어기로 구현하기 위해 이득변환식(Gain Transformation Formulus)이 고안된다. 본 논문에서 제안된 방법을 안테나 방위각 제어문제에 적용해 보임으로써, 아날로그 제어기설계 경험과 기술이 디지탈 제어기 설계를 위한 직접설계방법에 응용될 수 있음을 보여준다.

This paper presents a new direct design method for sampled-data control systems. The proposed synthesis method utilizes a design method of analog control system to design a digital controller using direct design method, which is a classical root-locus method in the w-domain. To adopt the valuable experiences obtained from design of analog controllers in classical design methods to design of sampled-data control systems, first of all, in this paper a new complex domain, what we call w-domain, and stability criterion in the domain are defined. Then a sampled-data system in the w-domain is proposed, which is represented in state space. To realize a unique digital controller synthesized in the w-domain, exact gain transformation formulus is invented. Through an illustrative example of antenna azimuth control in the proposed approach, any experts to analog designs can easily take advantage of their valuable knowledge and skill to design sampled-data control systems in direct design method.

This paper presents a new direct design method for sampled-data control systems. The proposed synthesis method utilizes a design method of analog control system to design a digital controller using direct design method, which is a classical root-locus method in the w-domain. To adopt the valuable experiences obtained from design of analog controllers in classical design methods to design of sampled-data control systems, first of all, in this paper a new complex domain, what we call w-domain, and stability criterion in the domain are defined. Then a sampled-data system in the w-domain is proposed, which is represented in state space. To realize a unique digital controller synthesized in the w-domain, exact gain transformation formulus is invented. Through an illustrative example of antenna azimuth control in the proposed approach, any experts to analog designs can easily take advantage of their valuable knowledge and skill to design sampled-data control systems in direct design method.