• Title/Summary/Keyword: Suboptimal

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ESTIMATION OF NON-INTEGRAL AND INTEGRAL QUADRATIC FUNCTIONS IN LINEAR STOCHASTIC DIFFERENTIAL SYSTEMS

  • Song, IL Young;Shin, Vladimir;Choi, Won
    • Korean Journal of Mathematics
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    • v.25 no.1
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    • pp.45-60
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    • 2017
  • This paper focuses on estimation of an non-integral quadratic function (NIQF) and integral quadratic function (IQF) of a random signal in dynamic system described by a linear stochastic differential equation. The quadratic form of an unobservable signal indicates useful information of a signal for control. The optimal (in mean square sense) and suboptimal estimates of NIQF and IQF represent a function of the Kalman estimate and its error covariance. The proposed estimation algorithms have a closed-form estimation procedure. The obtained estimates are studied in detail, including derivation of the exact formulas and differential equations for mean square errors. The results we demonstrate on practical example of a power of signal, and comparison analysis between optimal and suboptimal estimators is presented.

A study on the trajectory controllable minimum-time controller using modified bang-bang control law (뱅뱅 제어법을 변형한 중간 경로 제동이 가능한 최단시간 제어기의 개발)

  • 이현오;양우석
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.44-47
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    • 1996
  • Bang-bang control law provides the optimal solution for a minimum-time control problem, but ignores the intermediate path except for the initial and final points. In this paper, a near minimum-time suboptimal fuzzy logic controller is introduced that can control the intermediate path. A dynamic model for a system is established using the average dynamics method of linearization. System model is continuously updated over the control time periods. This makes it suitable for high speed or variable payload applications. Bang-bang control theory is modified and used to derive the preliminary control law. A fuzzy logic algorithm is then applied to adjust and find the best solution. The solution will provide the suboptimal minimum-time control law which can avoid obstacles in the workspace.

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Two-Step Suboptimal Filters for Linear Dynamic Systems

  • Ahn, Jun-Il;Minhas, Rashid;Shin, Vladimir
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.16-21
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    • 2005
  • This paper considers the problem of state estimation in linear continuous-time systems with multi-sensor environment and observation uncertainties. We propose two suboptimal filtering algorithms for these types of systems. The filtering algorithms consist of two steps: The local optimal Kalman estimates are computed at the first step. And, these local estimates are lineally fused at the second step. The implementation of the two-step filtering algorithms needs a lower memory demand than the optimal Kalman and adaptive Lainiotis-Kalman filters. In consequence of parallel structure of the proposed filters, the parallel computers can be used for their design. The examples exhibit the effect of common noise on the performance of fusion of the local Kalman estimates based on observations from different sensors and in the presence of uncertainties.

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SUBOPTIMAL VIBRATION CONTROL OF FLEXIBLE ROBOT BEARING SYSTEM BY USING A MAGNETIC BEARING

  • Lee, Chong-Won;Kim, Jong-Sun
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.255-259
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    • 1989
  • A suboptimal output feedback controller is designed and applied to a flexible rotor bearing system in order to control the unstable or lilghtly damped vibrations. The reduced order model is the truncated modal equation of the distributed parameter system obtained through the singular perturbation. The instability problem arising from the spillover effects caused by the uncontrolled high frequency modes is prevented through the constrained optimization by incorporating the spillover term into the performance index. The efficiency of the proposed method is demonstrated experimentally with a flexible rotor by using a magnetic bearing.

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Performance Analysis of Suboptimal Receiver Combining Adaptive Array Antenna and Orthogonal Decision-Feedback Detector for DS/CDMA System

  • Cho, Young-pil;Yoo, Sung-Kyun;Lee, Hyung-ki;Kwak, Kyung-sup
    • Proceedings of the IEEK Conference
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    • 2002.07b
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    • pp.1354-1357
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    • 2002
  • In this paper, we propose a suboptimal receiver combining adaptive array antenna and orthogonal decision-feedback detector in DS/CDMA system. Adaptive array antenna can cancel out undesired signal using beamforming scheme. However, if there are interfering signals from undesired users with the same incident angle as that of a desired user, an adaptive array antenna cannot suppress them. The proposed receiver can cancel out remaining interference from users having nearly the same beam pattern. And we employ Orthogonal Decision-Feedback Detector (ODFD) as multiuser detection. The ODFD performs as good as the decorrelating decision -feedback detector (DDD) with much less complexity. Simulation results show that the proposed system provides a significantly enhanced performance.

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$\textrm{HO}_2$/$\textrm{H}_\infty$ optimal controller design using parameterization of $\textrm{HO}_2$ suboptimal controller ($\textrm{HO}_2$ 준최적제어기의 변수화를 이용한 혼합된 $\textrm{HO}_2$/$\textrm{H}_\infty$ 최적제어게 설계)

  • 류동기;방경호;윤한오;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.754-759
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    • 1992
  • In this paper, we proposed a mixed H$_{2}$/H$_{\infty}$ optimal controller design method using the parameterization of H$_{2}$ suboptimal controller. The method is based on the minimization of H$_{2}$ performance measure with an H$_{\infty}$-norm constraint. We also derived the necessary and sufficient conditions for existence of solution from the decoupled Riccati equations. And the designed controller has state-space representation.n.

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Target Measurement Error Reduction Technique of Suboptimal Binary Integration Radar (부 최적 이진누적 적용 레이더의 표적 측정오차 감소 기법)

  • Nam, Chang-Ho;Choi, Seong-Hee;Ra, Sung-Woong
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.48 no.9
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    • pp.65-72
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    • 2011
  • A binary integration is one of sub-optimal pulse integration which decides detection based on discriminating m successful detections out of n trials in radar systems using multiple pulse repetition frequencies. This paper introduces target measurement error reduction technique to reduce azimuth errors in suboptimal binary integration radar which applies the near value by m rather than the optimal m and verifies the performance by analyzing the experimental data measured from real radar.

A Study on Decentralized Suboptimal Controller for Large Scale Systems with Low Sensitivity Property (대규모 시스템을 위한 준최적 저감도성 비집중형 제어기에 관한 연구)

  • O, Sang-Rok;Seo, Il-Hong;Byeon, Jeung-Nam
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.20 no.3
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    • pp.45-51
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    • 1983
  • A local suboptimal controller with low sensitivity property is studied for a case of large scale systems. More specifically, necessary conditions for the suboptomal gain matrices are obtained by a parameter optimization technique, from which a design method in the form of an algorithm is suggested. To show the validity of the result and, in particular, to appreciate the effect of adding the sensitivity function, a numerical example is included.

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Parameter Estimation of Linear-FM with Modified sMLE for Radar Signal Active Cancelation Application

  • Choi, Seungkyu;Lee, Chungyong
    • IEIE Transactions on Smart Processing and Computing
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    • v.3 no.6
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    • pp.372-381
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    • 2014
  • This study examined a radar signal active cancelation technique, which is a theoretical way of achieving stealth by employing a baseband process that involves sampling the incoming hostile radar signal, analyzing its characteristics, and generating countermeasure signals to cancel out the linear-FM signal of the hostile radar signal reflected from the airborne target. To successfully perform an active cancelation, the effects of errors in the countermeasure signal were first analyzed. To generate the countermeasure signal that requires very fast and accurate processing, the down-sampling technique with the suboptimal maximum likelihood estimation (sMLE) scheme was proposed to improve the speed of the estimation process while preserving the estimation accuracy. The simulation results showed that the proposed down-sampling technique using a 2048 FFT size yields substantial power reduction despite its small FFT size and exhibits similar performance to the sMLE scheme using the 32768 FFT size.

Design of $\gamma$-Suboptimal Reduced-Order Unbiased $H_{\infty}$ Filter Using LMI ($\gamma$-준최적 저차 무편향 $H_{\infty}$ 필터의 LMI를 이용한 설계)

  • Jin, Seung-Hee;Yoon, Tae-Sung;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 1997.11a
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    • pp.146-148
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    • 1997
  • An LMI-based parameterization of all $\gamma$-suboptimal reduced-order unbiased $H_{\infty}$ filters is provided in terms of a free matrix, using the unbiasedness condition, bounded real lemma and the general solution of the basic LMI. Also, by sequentially solving the generalized eigenvalue minimization and basic LMI problem, the optimal filter coefficient matrix can be obtained with the best achievable performance.

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