고차 스위칭 미분 추정기의 설계 상수 최적화
Optimizing Design Constants of Higher-Order Switching Differentiator
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초록
시변 신호의 1차 시간 미분을 추정하기 위해서 [1]에서 점근적 수렴 특성을 갖는 스위칭 미분기(switching differentiator)[1]가 제안되었으며, 그것의 고차 미분 추정으로 확장한 고차 스위칭 미분기(higher-order switching differntiaor, HOSD)가 [2]에서 제안되었다. 하지만 HOSD의 경우 n차 미분까지 추정한다면 결정해야 할 상수들의 개수가 2n개이므로 HOSD를 설계하는 데 있어서 다수의 설계상수를 결정해야 한다는 어려움이 있다. 본 논문에서는 HOSD의 점근적 추종 성능은 유지하면서결정해야 할 설계 상수들의 개수를 줄이는 방법과 다양한 모의실험으로 구해진 최적의 설계 상수 값들을 제시한다. 시변 함수들의 시간 도함수를 추정하는 모의실험을 통해서 제시된 방법의 유효성을 보인다.
Abstract
A switching differentiator that can estimate the 1st-order time-derivative of a time-varying signal was proposed, andit is extended later to the higher-order switching differentiator(HOSD) that can observe higher-order time-derivatives ofa time-varying signal in previous works. By using HOSD, higher-order time-derivatives can be estimated withoutpeaking or chattering, and it has an asymptotic tracking performance. However, there exist many design constants to bedetermined in HOSD. In this paper, a method of reducing the number of design constants is proposed to solve theproblem. Simulations reveal the effectiveness of the proposed method.
참고문헌 (11)
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