• Title/Summary/Keyword: Optimal Observer

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SDRE Based Optimal Nonlinear Observer-Controller Design for Ramp Metering System (진입로 신호등 시스템을 위한 SDRE 기반 최적 비선형 관측기 제어기 설계)

  • Lee, Kiho;Choi, Han Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.5
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    • pp.533-536
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    • 2014
  • In this paper, a near optimal decentralized observer-controller design method is proposed for ramp metering systems based on SDRE (State Dependent Riccati Equation) approach. The optimal nonlinear observer gain is parameterized in terms of the solution matrix of an SDRE. This paper gives a simple algorithm to compute the near optimal observer gain. The optimal control design problem is also considered. Finally, numerical simulation results are given to illuminate the effectiveness and practicality of the proposed design method.

Second order integral sliding mode observer and controller for a nuclear reactor

  • Surjagade, Piyush V.;Shimjith, S.R.;Tiwari, A.P.
    • Nuclear Engineering and Technology
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    • v.52 no.3
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    • pp.552-559
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    • 2020
  • This paper presents an observer-based chattering free robust optimal control scheme to regulate the total power of a nuclear reactor. The non-linear model of nuclear reactor is linearized around a steady state operating point to obtain a linear model for which an optimal second order integral sliding mode controller is designed. A second order integral sliding mode observer is also designed to estimate the unmeasurable states. In order to avoid the chattering effect, the discontinuous input of both observer and controller are designed using the super-twisting algorithm. The proposed controller is realized by combining an optimal linear tracking controller with a second order integral sliding mode controller to ensure minimum control effort and robustness of the closed-loop system in the presence of uncertainties. The condition for the selection of gains of discontinuous control based on the super-twisting algorithm is derived using a strict Lyapunov function. Performance of the proposed observer based control scheme is demonstrated through non-linear simulation studies.

Design of Stochastic Observer for The Optimal Control of A Flexible Manipulator (유연성 매니퓨레이터의 최적제어를 위한 STOCHASTIC관측기의 설계)

  • 남호범;박종국
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.38 no.9
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    • pp.753-760
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    • 1989
  • A method is suggested to design a stochastic observer which can be used as a state estimator for the optimal control of a one link flexible manipulator. This stochastic observer is derived from unifying the two concepts of reduced-state deterministic observer theory and optimal Kalman filtering theory. In estimating state variables for the optimal control, instead of using the two different state estimators for the deterministic system with noise free measurements and stochastic system with noise measurements, only one stochastic observer is designed which is to be used in both systems commonly. Through the simulation, it has been shown that the flexible system with the stochastic observer is similar in characteristics to the flexible system assuming that all states can be measured.

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Optimal control of a hydraulic servosystem by an observer (관측기에 의한 유압 서어보 시스템의 최적제어)

  • 조승호
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.663-668
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    • 1986
  • State variables of an observer were made use of to realize the optimal position control of a hydraulic servosystem with the inherent nonlinearities. The range of eigenvalues of an observer suitable for the hydraulic servosystem was investigated through computer simulation. The effect of direct state feedback of hydraulic servosystem was compared with that of estimated state feedback using observer to ascertain the possibility of performance increase using observer.

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A Motion Control of a Two Degree of Freedom Inverted Pendulum with Passive Joint using Discrete-time Sliding Observer Based VSS Controller (슬라이딩 관측기를 갖는 가변구조제어기에 의한 도립진자의 운동제어)

  • Suh, Yong-Seok;You, Wan-Sik;Kim, Young-Seok
    • Proceedings of the KIEE Conference
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    • 1994.07a
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    • pp.468-471
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    • 1994
  • This paper presents the digital implementation of an optimal and robust VSS controller with sliding observer. Firstly, a discrete-time VSS control law which enables the system state to move into a sliding sector where the closed-loop system is stable is designed. Then optimal control theory is used to design an optimal sliding sector. Secondly, a sliding observer which provide robust state estimation against model-plant mismatches due to parameter uncertainties is designed for the sampled-data multivariable systems. Finally, modified sliding observer which effectively reduce chattering of state variables in state estimation was proposed. The proposed scheme was applied 10 a two degree of freedom inverted pendulum with passive joint to verify robust motion control. Computer simulation results confirm the viability of the proposed observer-based controller.

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Recursive Optimal State and Input Observer for Discrete Time-Variant Systems

  • Park, Youngjin;J.L.Stein
    • Transactions on Control, Automation and Systems Engineering
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    • v.1 no.2
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    • pp.113-120
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    • 1999
  • One of the important challenges facing control engineers in developing automated machineryis to be able to monitor the machines using remote sensors. Observrs are often used to reconstruct the machine variables of interest. However, conventional observers are unalbe to observe the machine variables when the machine models, upon which the observers are based, have inputs that cannot be measured. Since this is often the case, the authors previsously developed a steady-state optimal state and input observer for time-invariant systems [1], this paper extends that work to time-variant systems. A recursive observer, similar to a Kalman-Bucy filter, is developed . This optimal observer minimizes the trace of the error variance for discrete , linear , time-variant, stochastic systems with unknown inputs.

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On optimal state feedback scheme to a position control system by the state observer (상태관측기에 의한 위치제어계의 최적 설계에 관한 연구)

  • 장세훈;박순규
    • 전기의세계
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    • v.31 no.1
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    • pp.43-49
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    • 1982
  • This paper intends to compare and illustrate the feedback effects of the state feedback scheme to a positional control system by the use of the state observer. As a case study, the dynamic properties of a proposed positional control system lie derived, first, and the design of an optimal state feedback control system by the actual states is intended as a primary case study. For the illustration of the feedback effects with the asymptotic state observer, unobservability of some state variables are assumed and an optimal state feedback design is carried by using the estimated states which is reconstructed through the observer. That is, when some of the states of the system to be controlled are not avalable, an observer is constructed to estimate the unaccessable states. Adigital computer is used for the comparative study of the feedback effects in both cases. The resultant response of the proposed system have shown quite reasonable satisfaction oncontrol quality.

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States/Road Input Observer-based Control of Semi-active Suspensions (상태변수/노면입력 관측기를 이용한 반능동 현가시스템 제어)

  • 김정헌;이경수
    • Transactions of the Korean Society of Automotive Engineers
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    • v.8 no.2
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    • pp.102-109
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    • 2000
  • This paper deals with an observer-based preview control for semi-active suspensions. An Observer has been designed such that all the state variables and road inputs can be estimated from accelerations. Since the road input to the rear wheels is a delayed version of that to the front wheels, it can be obtained by estimating the road input to the front wheels without preview the estimated values of state and the estimated road input has been investigated. The results show that the observer-based control can provide good performance. The observer-based preview control improves the dynamic behavior of the rear axle and that of pitch motion compared to the LQ optimal control.

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A Novel Space Vector modulation Scheme and Direct Torque Control for Four-switch BLDCM Using Flux Observer

  • Pan, Lei;Wang, Beibei;Su, Gang;Cheng, Baohua;Peng, Guili
    • Journal of Electrical Engineering and Technology
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    • v.10 no.1
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    • pp.251-260
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    • 2015
  • The main purpose of this paper is to describe a DTC (direct torque control) method for four-switch brushless dc motor (BLDCM) drive. In the method, a novel voltage space vector modulation scheme, an optimal switching table, and a flux observation method are proposed. Eight voltage vectors are summarized, which are selected to control BLDCM in SVPWM pattern, and an optimal switching table is proposed to improve the torque distortion caused by midpoint current of the split capacitors. Unlike conventional flux observers, this observer does not require speed adaptation and is not susceptible to speed estimation errors, especially, at low speed. Global asymptotic stability of the flux observer is guaranteed by the Lyapunov stability analysis. DC-offset effects are mitigated by introducing a PI component in the observer gains. This method alleviates the undesired current and torque distortion which is caused by uncontrollable phase. The correctness and feasibility of the method are proved by simulation and experimental results.

Optimal Sliding-Mode Controller Design based on State Observer (관측기 기반 하의 최적 슬라이딩 모드 제어기 설계)

  • Hong, Min-Suk;You, Kwan-Ho
    • Proceedings of the KIEE Conference
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    • 2005.05a
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    • pp.119-121
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    • 2005
  • The sliding-mode control technique could make a system unstable which external disturbance and uncertainty exists in. This paper suggests a robust sliding-mode control algorithm which can be applied to a linear system with parameter uncertainties. To reduce the chattering effect, the whole system is comprised of using a state variable in which the state's estimated value is added. The condition of estimated state results from state observer. The proposed control algorithm uses the optimal feedback controller following the dynamic system equation which consists of a state variable resulting from its own state variable, controller input, estimated state variable. Through comparison with the time optimal control algorithm using simulation, the suggested algorithm shows the improved stability and robustness while it manifests the fast tracking characteristics.

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