• Title/Summary/Keyword: Worst-Case Disturbance

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The Sampled-Data $H_{\infty}$ Problem: Obtaining an equivalent discrete-time system via a closed-loop expression of worst-case disturbance (샘플치 $H_{\infty}$ 문제: 최악의 외란의 폐경로 표현을 통한 등가의 이산시간 시스템 구현)

  • 공민종;조창호;이상철;조도현;이상효
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.340-340
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    • 2000
  • This paper aims at deriving an equivalent finite dimensional discrete-time system for H$_{\infty}$ type problem for sampled-data control systems. A widely used ph is based on the lifting technique, but it needs somewhat complicate computation. Instead this paper derives an equivalent finite-dimensional discrete-time system directly from a description of the sampled-data system which is achieved via a closed-loop expression of the worst-case intersample disturbance.

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The Sampled-Data $H{\infty}$ Problem: Applying the Discretization Method via a Closed-Loop Expression of Worst-Case Disturbance (샘플치 $H{\infty}$ 문제: 최악의 외란의 폐경로 표현을 통한 이산화 기법 적용)

  • 조도현;박진홍
    • Journal of the Korea Computer Industry Society
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    • v.2 no.7
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    • pp.967-974
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    • 2001
  • This paper aims at deriving an equivalent finite dimensional discrete-time system for $H{\infty}$ type problem for sampled-data control systems. A widely used approach is based on the lifting technique, but it needs somewhat complicate computation. Instead, this paper derives an equivalent finite-dimensional discrete-time system directly from a description of the sampled-data system which is achieved via a closed-loop expression of the worst-case intersample disturbance.

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An Analysis on Worst-case State Estimation in Standard H$\infty$ State-Space Solution

  • Choi, Youngjin;Chung, Wan-Kyun;Youm, Youngil
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.56-59
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    • 1996
  • Worst-case state estimation will be proposed in this paper. By using the worst-case disturbance and worst-case state estimation, we can obtain right/left constrained coprime factors. If constrained coprime factors are used in designing a controller, the infinity-norm of closed-loop transfer matrix can be smaller than any constant .gamma.(> .gamma.$_{opt}$) without matrix dilation optimization. The derivation of left/right constrained coprime factors is achieved by doubly coprime factorization for the plant constrained by the infinity norm. And the parameterization of stabilizing controllers gives us easily understanding for H$_{\infty}$ control theory.ry.

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Worst-case optimal feedback control policy for a remote electrical drive system with time-delay

  • Gao, Yu;Zhang, Zheng;Lee, Chang-Goo;Chong, Kil-To
    • Proceedings of the KIEE Conference
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    • 2007.04a
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    • pp.92-94
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    • 2007
  • This paper considers an optimal control problem for a remote control to an electrical drive system with a DC motor. Since it is a linear control system with time-delay subject to unknown but bounded disturbance, we construct a worst-case feedback control policy. This policy can guarantee that, for all admissible uncertain disturbances, the real system state should be in a prescribed neighborhood of a desired value, and the cost functional takes the best guarantee value. The worst-case feedback control policy is allowed to be corrected at one correction point between the initial to the final time, which is equivalent to solving a 1-level min-max problem. Since the min-max problem at the stage does not yield a simple analytical solution, we consider an approximate control policy, which is equivalent and can be solved explicitly m the numerical experiments.

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$H_{2}$/$H_{\infty}$ control of active suspension system (능동 현가 시스템을 위한 $H_{2}$/$H_{\infty}$ 제어기 설계)

  • 정우영;김상우;원상철
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.888-891
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    • 1996
  • The objective of a mixed H$_{2}$/H$_{\infty}$ controller of active suspension system is to achieve not only the general performance improvement(H$_{2}$) but also the worst case disturbance rejection(H$_{\infty}$). In this paper, a mixed H$_{2}$/H$_{\infty}$ controller for an active suspension system, comparing the performance with that of an H$_{2}$ controller and of an H$_{\infty}$ controller.ler.EX> controller.

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Control system design for a manipulator under parameter perturbation

  • Shimomoto, Y.;Kisu, H.;Ishimatsu, T.
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.346-349
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    • 1994
  • This paper is concerned with a motion control of a manipulator under parametric uncertainties and external disturbances. The parametric uncertainties are regarded as internally generated disturbances in the manipulator. Based on this idea, we formulate a model reference control problem with desired disturbance attenuation. The solution of this control problem not only reduces the worst-case effect on tracking error due to internal and external disturbances (combined disturbances) as much as possible, but also achieve optimal tracking when perturbations are absent. In order to solve the control problem which is formulated in this paper we reduce it to a constrained minmax cost control problem. A differential game theory is used to treat this constrained minmax cost control problem. The differential game theory leads to a sufficient condition for the global solvability of the model reference control problem with desired disturbance attenuation.

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A Robust Extended Filter Design for SDINS In-Flight Alignment

  • Yu, Myeong-Jong;Lee, Sang-Woo
    • International Journal of Control, Automation, and Systems
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    • v.1 no.4
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    • pp.520-526
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    • 2003
  • In the case of a strapdown inertial navigation system (SDINS) with sizeable attitude errors, the uncertainty caused by linearization of the system degrades the performance of the filter. In this paper, a robust filter and various error models for the uncertainty are presented. The analytical characteristics of the proposed filter are also investigated. The results show that the filter does not require the statistical property of the system disturbance and that the region of the estimation error depends on a freedom parameter in the worst case. Then, the uncertainty of the SDINS is derived. Depending on the choice of the reference frame and the attitude error state, several error models are presented. Finally, various in-flight alignment methods are proposed by combining the robust filter with the error models. Simulation results demonstrate that the proposed filter effectively improves the performance.

Design of Robust Estimator using Sliding Mode (슬라이딩 모드를 이용한 견실한 추정기설계)

  • Yoon, Byung-Do;Kim, Yoon-Ho;Kim, Choon-Sam;Kim, Chan-Ki;Han, Jae-Hyeok
    • Proceedings of the KIEE Conference
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    • 1993.07b
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    • pp.784-786
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    • 1993
  • Recently, in the industrial applications, the sensorless system is developed, but the sensorless system is required to have robustness for the measurement noise and disturbance. In this paper, for the sensorless system, the method of designing a robust sliding mode observer taking account of the ability of disturbance and noise attenuation is presented. Also, the strategy for the estimation of rotor flux using the sliding mode observer, which is robust to the measurement noise, is described. Robustness are achieved by assigning the pole of the the system during the sliding motion in such a way as to minimize the effects of the disturbances on the rotor flux estimation error. Finally, using worst case desist and LQC(least square error design), the sliding mode absolver is verified by computer simulations.

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Minimax Filter for Continuous-Time State Space Models (연속형 상태 방정식에 대한 최소최대 필터)

  • Kwon, Wook-Hyun;Han, Soo-Hee
    • Proceedings of the KIEE Conference
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    • 2001.07d
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    • pp.1976-1978
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    • 2001
  • In this paper, a new robust deadbeat minimax FIR filter (DMFF) is proposed for continuous-time state space signal models. Linearity, deadbeat property, FIR structure, and independence of the initial state information will be required in advance, in addition to a performance index of the worst case gain between the disturbance and the current estimation error. The proposed DMFF is obtained by directly minimizing a performance index with the deadbeat constraint. The proposed DMFF is represented first in a standard FIR form and then in an iterative form. The DMFF will be shown to be used also for the IIR structure. It is shown that the DMFF is similar in form to the existing receding horizon unbiased FIR filter (RHUFF) with some noise covariances. The former is a deterministic filter, while the latter is a stochastic filter.

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Study on the Relationship between Weather Conditions, Sewage and Operational Variables of WWTPs using Multivariate Statistical Methods (기상조건이 하수발생량 및 하수처리장 운전인자에 미치는 영향에 관한 통계적 분석)

  • Lee, Jae-Hyun
    • Journal of Korean Society on Water Environment
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    • v.28 no.2
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    • pp.285-291
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    • 2012
  • Generally, the rainfall and the influent of wastewater treatment plants (WWTPs) have strong relationship at the case of combined sewers. With the fact that the influent variations in terms of quantity and sewage quality is the most common and significant disturbance, the impact factor to the characteristics of sewage should be searched for. In this paper, the relationship between weather conditions such as humidity, temperature and rainfall and influent flowrate and contaminant concentration was analysed using factor analysis. Additionally, 3 influent types were deduced using cluster analysis and the distributions of operational variables were compared to the each groups by one-way ANOVA. The applied dataset were clustered to three groups that have the similar weather and influent conditions. These different conditions can cause the different operating conditions at WWTPs. That is, the Group 1 is for the condition with high humidity and rainfall, so DO concentration in the reactor was very high but MLSS concentration was very low because of too large flowrate. However, the Group 3 is classified to the case having low humidity, temperature, and rainfall, therefore, the SRT was the longest and the SVI was the highest due to the worst settleability in the winter for a year.