• 제목/요약/키워드: Low-order $H{\infty}$ filter

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On Synthesizing low-order State Eestimators and Low-order $H{\infty}$ Filters

  • Choi, Byung-Wook
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1995년도 Proceedings of the Korea Automation Control Conference, 10th (KACC); Seoul, Korea; 23-25 Oct. 1995
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    • pp.344-347
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    • 1995
  • The standard estimation and filtering theory are well known and has recently been incorporated with the H$_{\infty}$ optimization techniques where the parametrizations of all estimators and filters are utilized. The issue of reducing its order is always of interest. This paper presents a method for synthesizing low-order stable state estimators. The method presented in this paper is based on the utilization of a free parameter function contained in the parametrization of all state estimators. The results obtained in the paper are compared with standard results on low-order estimators. Both results are shown to be the same in a sense of its orders, but the approaches taken are largely different. It is also shown in the paper that the method can easily and directly be extended to the Kalman filters and the H$_{\infty}$ (sub)optimal filters. Consequently, the orders of all state estimators, Kalman filters, and H$_{\infty}$ filters are shown to be reduced down to the number of states minus the number of outputs, respectively.ly.

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이산 불확실 특이시스템의 변수종속 차수축소 강인 $H_{\infty}$ 필터링 (Reduced-order Parameter-dependent Robust $H_{\infty}$ Filtering for Discrete Uncertain Singular Systems)

  • 김종해
    • 전자공학회논문지SC
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    • 제48권5호
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    • pp.59-65
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    • 2011
  • 본 논문에서는 폴리토픽 불확실성을 가지는 이산시간 변수종속 특이시스템에 대한 저차(low order)의 변수종속 차수축소 강인 $H_{\infty}$ 필터 설계기법을 제안한다. 먼저, 변수종속 특이시스템에 대한 유계 실수정리(bounded real lemma)를 변수종속 리아푸노프 (Lyapunov) 함수로부터 유도한다. 유계 실수정리로부터 폴리토픽 기법과 새로운 차수축소 기법을 이용하여 저차의 강인 $H_{\infty}$ 필터 설계방법을 볼록최적화가 가능한 선형행렬부등식 접근방법을 이용하여 제시한다. 따라서 제안하는 변수종속 차수축소 강인 $H_{\infty}$ 필터 설계방법은 미리 정한 차수의 $H_{\infty}$ 필터를 제공한다. 수치예제를 통하여 제시한 저차의 필터 설계방법의 타당성을 보인다.

포 구동명령 개선을 위한 표적상태 추정기 설계 (A Target State Estimator Design to Improve the Gun Driving Command)

  • 이석재;곽휘권;유준
    • 제어로봇시스템학회논문지
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    • 제13권11호
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    • pp.1053-1059
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    • 2007
  • This paper presents a target sate estimator(TSE) with low pass filter for improving the gun driving command. The ballistic computer uses target information such as predicted range, velocity, acceleration of a target to generate the gun command. We adopt the finite impulse response(FIR) filter as our TSE to shorten calculation time for the driving command and due to its inherent stability property. We also introduce a post-processing filter to reduce the high frequency components in the output signal of a TSE which may cause instability of gun driving. The first order low pass filter has been designed based on $H{\infty}$ criteria considering the noise characteristics. To show the validity of the present scheme, simulation results are given for the overall gun driving system including aircraft target information.