• 제목/요약/키워드: steady-state optimal filtering

검색결과 4건 처리시간 0.021초

Optimal Filtering for Linear Discrete-Time Systems with Single Delayed Measurement

  • Zhao, Hong-Guo;Zhang, Huan-Shui;Zhang, Cheng-Hui;Song, Xin-Min
    • International Journal of Control, Automation, and Systems
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    • 제6권3호
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    • pp.378-385
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    • 2008
  • This paper aims to present a polynomial approach to the steady-state optimal filtering for delayed systems. The design of the steady-state filter involves solving one polynomial equation and one spectral factorization. The key problem in this paper is the derivation of spectral factorization for systems with delayed measurement, which is more difficult than the standard systems without delays. To get the spectral factorization, we apply the reorganized innovation approach. The calculation of spectral factorization comes down to two Riccati equations with the same dimension as the original systems.

임계 다위상 분해기법이 적용된 SAP 알고리즘을 위한 최적 가변 스텝사이즈 (Optimal Variable Step Size for Simplified SAP Algorithm with Critical Polyphase Decomposition)

  • 허경용;최훈
    • 한국정보통신학회논문지
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    • 제25권11호
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    • pp.1545-1550
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    • 2021
  • 다위상 분해 기법 기반의 부밴드 구조에서 단순화한 부밴드 인접투사 알고리즘(Simplified SAP; SSAP)을 위한 최적 가변 스텝사이즈 조정 방법을 제안한다. 제안한 방법은 부밴드 적응필터의 계수 갱신 시점에서 평균자승편차(MSD)를 최소화하도록 유도된 최적값을 제시한다. 유색 입력 신호를 사용하는 SSAP 알고리즘에서 제안한 최적 스텝사이즈의 적용은 빠른 수렴속도와 작은 정상상태오차를 보장한다. AR(2) 신호와 실제 음성을 입력 신호로 사용하여 수행한 컴퓨터 모의실험의 결과는 제안한 최적 스텝사이즈의 유효성을 입증한다. 또한 모의실험 결과는 기존 여러 적응 알고리즘과 비교하여 제안한 알고리즘이 더 빠른 수렴속도와 양호한 정상상태오차를 가지고 있음을 보인다.

GPS 수신기를 위한 항법필터의 설계 및 구현 (Design and Implementation of a Navigation Filter for GPS Receiver)

  • 홍진석;지규인;이장규;오종택
    • 한국항행학회논문지
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    • 제1권1호
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    • pp.11-22
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    • 1997
  • GPS 수신기는 잡음이 섞인 의사거리와 도플러 측정값으로부터 사용자의 위치, 속도 및 시간을 결정하여야한다. GPS 수신기는 일반적으로 최소자승법(Least Square Method)을 사용한다. 칼만필터(Kalman Filter)는 시스템의 동적특성과 시스템 잡음의 확률적 특성을 이용하는 최적 예측기로 알려져 있다. 본 논문에서는 GPS 수신기를 위한 8차 칼만 필터를 설계하고, 필터의 계산 부담을 줄이고 안정도를 향상시키기 위해 UD칼만필터, Steady-State 칼만필터, Schmidt 칼만필터 등의 기법들을 적용하였다. 설계된 필터의 성능을 실제 수신기에 구현하여 검증하고 결과를 분석하였다.

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UASB 공정에 의한 당밀폐수의 최적처리 방안 (Optimal Treatment of Molasses Wastewater Using UASB Process)

  • 허관용;정의근;정윤진;유상근
    • 상하수도학회지
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    • 제11권2호
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    • pp.112-127
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    • 1997
  • The purpose of this study is to get optimum operating factors of Upflow Anaerobic Sludge Blanket (UASB) reactor by introducing methods that make it to reduce inhibition possible in each process wastewater treatment. The used substrates, concentrated corn starch liquid (CSL) wastewater, modified starch, filtering and decoloring wastewater, ion refining wastewater, and mixed wastewater including modified starch and not including modified starch, are generated from molasses process. The seeding sludge is the digested sludge that had been applied to molasses wastewater. Batch test to reduce the inhibition factors that might be existed in each wastewater was examined. Based on the this test, the optimum operating factors according to alkalinity and pH variation was studied through the continuous test using three 5.5 L UASB reactor. The first reactor added $NaHCO_3$ to control alkalinity. The hydraulic retention time (HRT) reduced to 8 hours and the organic loading rate increased gradually. The second reactor changed the pH of influent from 7.0 to 6.0 using NaOH. The third reactor was operated without changes to compare the above two reactors. As the result, the inhibition in concentrated CSL wastewater was removed by adding iron (II). When trace metals were added to mixed wastewater not including modified starch, the digestability by gas production rate increased to more fifty percentage than mixed wastewater that was not adding the trace metals. The reason that the inhibition did not decreased in spite of adding trace metals and nutrients was influenced by high concentration generated during the acid fermentation. The UASB reactors using the mixed wastewater with the most effective performance were operated as 500 mg/L as $CaCO_3$ alkalinity and 6.0 pH at steady state, and at this time, the gas production rates were 283 and 311mL gas/g $COD_{added}$. The COD removal rates were 84.7 and 86.3%, respectively.

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