Journal of the Korean Society for Aeronautical & Space Sciences (한국항공우주학회지)

The Korean Society for Aeronautical and Space Sciences (한국항공우주학회)
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Design of Singularly Perturbed Delta Operator Systems with Low Sensitivity

낮은 민감도를 지니는 특이섭동 델타연산자 시스템의 설계

  • 심규홍 (세종대학교 세종-록히드마틴우주항공연구소) ;
  • 사완 (미국 캔자스 위치타주립대 전기 및 컴퓨터공학과) ;
  • 이경태 (세종대학교 항공우주공학과)
  • Published : 2004.09.01
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Abstract

A method of designing a state feedback gam achieving a specified insensitivity of the closed-loop trajectory by the singularly perturbed unified system using the operators is proposed. The order of system is reduced by the singular perturbation technique by ignoring the fast mode in it. The proposed method takes care of the actual trajectory variations over the range of the singular perturbation parameter. Necessary conditions for optimality are also derived. The previous study was done in the continuous time system The present paper extends the previous study to the discrete system and the ${\delta}-operating$ system that unifies the continuous and discrete systems. Advantages of the proposed method are shown in the numerical example.

본 논문에서는 델타연산자를 이용한 통합시스템에서 사전에 민감도가 낮게 설정된 폐루프 궤적을 성취해주는 상태 궤환 제어기의 설계기법이 제안되었다. 양시등급 시스템에서는 빠른 모드를 무시함으로써 수행되는 특이섭동기법에 의해서 그 차수가 감소된다. 제안된 기법은 특이성동상수의 범위에서 실제 궤적의 변화를 다룬다. 물론 최적화를 위한 필요조건들도 유도된다. 이전의 연구는 연속시스템에서 이루어졌으나 본 논문에서는 이산 시스템 및 델타통합시스템으로 확장하였다. 제안된 기법의 우수성은 수치예제를 통하여 확인되었다.

Keywords

References

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