• Title/Summary/Keyword: Optimal Observer

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Algebraic Observer Design for Descriptor Systems via Block-pulse Function Expansions (블록펄스함수 전개를 이용한 Descriptor 시스템의 대수적 관측기 설계)

  • 안비오
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.50 no.6
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    • pp.259-265
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    • 2001
  • In the last two decades, many researchers proposed various usages of the orthogonal functions such as Walsh, Haar and BPF to solve the system analysis, optimal control, and identification problems from and algebraic form. In this paper, a simple procedure to design and algerbraic observer for the descriptor system is presented by using block pulse function expansions. The main characteristic of this technique is that it converts differential observer equation into an algerbraic equation. And furthermore, a simple recursive algorithm is proposed to obtain BPFs coefficients of the observer equation.

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Digital Optimal Contorl of Servomotor System Considering Torsional Vibration Characteristics (비틀림 진동특성을 고려한 서어보모터계의 디지털 최적제어)

  • Jo, Seung-Ho
    • Journal of the Korean Society for Precision Engineering
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    • v.6 no.4
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    • pp.52-60
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    • 1989
  • In order to control the transient torsional vibration of rotational shaft system, the torsional stiffness of it has been taken into account in modelling the plant. In this paper the observer and controller has been designed in two ways. One is to consider the torsional stiffness and the other is to idealize the rotational shaft as rigid body. The third order observer considering torsional stiffness shows stable response on computer simulation. When the observer is designed on assumption of the rotational shaft being rigid body, the reduced order observer shows stable response whereas the full order observer shows unstable response.

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Observer Theory Applied to the Optimal Control of Xenon Concentration in a Nuclear Reactor (옵저버 이론의 원자로 지논 농도 최적제어에의 응용)

  • Woo, Hae-Seuk;Cho, Nam-Zin
    • Nuclear Engineering and Technology
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    • v.21 no.2
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    • pp.99-110
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    • 1989
  • The optimal control of xenon concentration in a nuclear reactor is posed as a linear quadratic regulator problem with state feedback control. Since it is not possible to measure the state variables such as xenon and iodine concentrations directly, implementation of the optimal state feedback control law requires estimation of the unmeasurable state variables. The estimation method used is based on the Luenberger observer. The set of the reactor kinetics equations is a stiff system. This singularly perturbed system arises from the interaction of slow dynamic modes (iodine and xenon concentrations) and fast dynamic modes (neutron flux, fuel and coolant temperatures). The singular perturbation technique is used to overcome this stiffness problem. The observer-based controller of the original system is effected by separate design of the observer and controller of the reduced subsystem and the fast subsystem. In particular, since in the reactor kinetics control problem analyzed in the study the fast mode dies out quickly, we need only design the observer for the reduced slow subsystem. The results of the test problems demonstrated that the state feedback control of the xenon oscillation can be accomplished efficiently and without sacrificing accuracy by using the observer combined with the singular perturbation method.

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An application of observer to the linear stochastic contimuous systems (관측자의 선형확률연속시스템에의 적용)

  • 고명삼;홍석교
    • 전기의세계
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    • v.24 no.5
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    • pp.103-106
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    • 1975
  • This Paper deals with an applicatoin of Luenberger Observer to the Linear Stochastic Systems. The basic technique is the use of a matrix version of the Maximum Principle of Pontryagin coupled with the use of gradient matrices to derive the gain matix for minimum error covariance. The optimal observer which is derived turns out to be identical to the well-known Kalman-Bucy Filter.

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Design of a Fuzzy-Sliding Observer for Control of DC Servo Motor (직류 서보 전동기 제어를 위한 퍼지-슬라이딩 관측기 설계)

  • 고봉운;김낙교
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.5
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    • pp.338-344
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    • 2004
  • This paper presents a sensorless speed control of a DC servo motor using a fuzzy-sliding observer in the presences of load disturbances. A fuzzy-sliding observer is proposed in order to estimate the speed of a motor rotor. First, a sliding observer is used to estimate the derivative of the armature current directly using the armature current mesured in the DC servo motor. Second, the optimal gain of the Luenberger observer is set up using the fuzzy control. Experimental results show the good performance in the DC servo motor system with the proposed fuzzy-sliding observer.

Design of unknown input observer of wheelbase preview control of commercial vehicles (상용 차량의 축거 예견 제어를 위한 미지 입력 관측기 설계)

  • 노현석;박영진
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.892-895
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    • 1996
  • An unknown input observer is proposed that can be used in wheelbase preview control of commercial vehicles. The preview and state information, required to calculate actuator force, are reconstructed from the measurement variables such as heave and pitch acceleration. Gain matrix of observer is optimally selected so that influence of system and measurement noises on the estimation error can be minimized. Estimated preview information requires low pass filtering to eliminate high frequency components resulting from differentiation of noisy output signals. Effectiveness of the proposed method is demonstrated by numerical simulation of half car model.

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Optimal control of serial-sampling system (시리얼 샘플링 시스템의 최적제어)

  • 최연욱
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10a
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    • pp.544-549
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    • 1990
  • In industrial multivariable plants, it is often the case that the plant outputs are detected not simultaneously but serially. In this paper, the problem of estimating the state vector of the plant based on the data obtained from such a detecting scheme is considered, and a special type of observer (referred to as a "serial-sampling' type observer) which renews its internal states whenever a new data is obtained is proposed. It is proved that such an observer can be constructed for almost every sampling period if the plant is observable as a continuous-time multivariable system, and that the poles of the closed-loop system using the serial-sampling type observer consist of the poles of the observer and those of the state feedback system. The behaviors of the observer and the closed-loop system are studied by simulation. The results of simulation indicate that a serial-sampling type observer can estimate the state of the plant more accurately than the ordinary type observers and improve the closed-loop performance.ance.

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Improvement of Low Speed Operation Characteristic of DC Servo Motor Using a Fuzzy Tuning Speed Observer (퍼지동조 속도관측기를 이용한 직류서보전동기의 저속운전 특성 개선)

  • Ahn, Chang-Hwan
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.57 no.3
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    • pp.244-249
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    • 2008
  • This paper deals with speed control of DC servo motor using a Fuzzy tuning observer. Speed sensor detect a speed of rotor continuously. But it have a limit as a driving speed to detect speed precisely. So it is problem to improve the performance of the driving system. To solve the problem, it is studied to detect a speed of DC motor without sensor. In particular, study on the method to estimate the speed using the observer is performed a lot. In this parer, the gain of the observer is properly set up using the fuzzy observer. The fuzzy observer has a superior transient characteristic and is easy to implement compared the existing method is designed. It estimate the derivative of the armature current directly using the armature current measured in the DC motor. It estimate the speed of the rotor using the differentiation. It is proposed speed sensorless control method using the estimated speed. Optimal gain of Luenberger observer is set up using the fuzzy observer and adapted speed control of DC servo motor low speed operation. It is proved excellence and feasibility of the presented observer from the comparison tested a case with a speed sensor and a case without a speed sensor which used a highly efficient drive and 200W DC servo motor starting system.

Virtual Brake Pressure Sensor Using Vehicle Yaw Rate Feedback (차량 요레이트 피드백을 통한 가상 제동 압력 센서 개발)

  • You, Seung-Han
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.40 no.1
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    • pp.113-120
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    • 2016
  • This paper presents observer-based virtual sensors for YMC(Yaw Moment Control) systems by differential braking. A high-fidelity empirical model of the hydraulic unit in YMC system was developed for a model-based observer design. Optimal, adaptive, and robust observers were then developed and their estimation accuracy and robustness against model uncertainty were investigated via HILS tests. The HILS results indicate that the proposed disturbance attenuation approach indeed exhibits more satisfactory pressure estimation performance than the other approach with admissible degradation against the predefined model disturbance.

Design of Reduced Order H2 Controller;Application to Anti-Sway-Control of a Traveling Crane

  • Kodani, Nariyuki;Ouchi, Shigeto;Todaka, Yuji
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1754-1757
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    • 2004
  • For the anti-sway control of traveling cranes, there are several solutions, i.e., by fuzzy control, by optimal control theory, etc. Each of them is reported to be effective. And, H infinity control and $H_2$ control can be also used. However, the full order observer which estimates all states in the controlled object is used in these methods. Therefore, the orders of these controllers are apt to be higher than that of the optimal controller, etc. Because the conventional H2 controller which minimizes $H_2$ norm consists of two parts, that is: feedback gains which make the controlled object stable and the full order observer which estimate those states. If the minimal order observer is used instead of the full order one, the order of the controller can be reduced. In this paper, we propose a new method based on the minimalization of $H_2$ norm using the minimal order observer. And, we confirm the effect of a new $H_2$ controller in the experiments of the anti-sway control of a traveling crane.

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