• Title/Summary/Keyword: State Observer Design

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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.

Design of an Adaptive Observer without Using Output Derivative Measurements (출력의 미분항을 사용하지 않는 적응 관측기 설계 방법)

  • 손영익;심형보;백주훈;조남훈
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.6
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    • pp.395-401
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    • 2004
  • By using an adaptive algorithm, together with an additional dynamic system, this paper proposes a new approach to design of a state observer for a class of uncertain systems. We enlarge the class of linear systems from the canonical form of [1] by proposing an adaptive observer that allows unknown parameters to affect those unmeasured states. The result is based on a recent result which presents a design algorithm for an additional system to replace output derivative measurements with the additional dynamics. A numerical example illustrates the design procedure of the state observer.

A State Observer for MINO Nonlinear Systems (다입력 다출력 비선형 시스템의 상태 관측기 설계)

  • Lee, Sung-Ryul
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.45 no.5
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    • pp.8-12
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    • 2008
  • In this paper, the robust state observer for nonlinear systems with unknown disturbance is proposed. The proposed method has an advantage in that it can reduce the effect of disturbance on estimation error of observer up to a specified level. Therefore, our design a roach can deal with a larger class of uncertain nonlinear system than the existing methods. The sufficient conditions on the existence of robust observer are characterized by well grown linear matrix inequality. Finally, an illustrative example is given to verify the proposed design scheme.

Attitude Maneuver Control of Flexible Spacecraft by Observer-based Tracking Control

  • Hyochoong Bang;Oh, Choong-Seok
    • Journal of Mechanical Science and Technology
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    • v.18 no.1
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    • pp.122-131
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    • 2004
  • A constraint equation-based control law design for large angle attitude maneuvers of flexible spacecraft is addressed in this paper The tip displacement of the flexible spacecraft model is prescribed in the form of a constraint equation. The controller design is attempted in the way that the constraint equation is satisfied throughout the maneuver. The constraint equation leads to a two-point boundary value problem which needs backward and forward solution techniques to satisfy terminal constraints. An observer-based tracking control law takes the constraint equation as the input to the dynamic observer. The observer state is used in conjunction with the state feedback control law to have the actual system follow the observer dynamics. The observer-based tracking control law eventually turns into a stabilized system with inherent nature of robustness and disturbance rejection in LQR type control laws.

Design of the Well-Conditioned Observer Using the Non-Normality Measure (비정규지표를 이용한 Well-Conditioned 관측기 설계)

  • Jung, Jong-Chul;Huh, Kun-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.6
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    • pp.1114-1119
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    • 2002
  • In this paper, the well-conditioned observer is designed to be insensitive to the ill-conditioning factors in transient and steady-state observer performance. A condition number based on 12-norm of the eigenvector matrix of the observer matrix has been proposed on a principal index in the observer performance. For the well-conditioned observer design, the non-normality measure and the observability condition of the observer matrix are utilized. The two constraints are specified into observer gain boundary region that guarantees a small condition number and a stable observer. The observer gain selected in this region guarantees a well-conditioned and observable property. In this study, this method is applied to the Luenberger observer and Kalman filters for small order systems. In designing Kalman filters, the ratio of the process noise covariance to the measurement noise covariance is a design parameter and its effect on the condition number is investigated.

Design of the Well-Conditioned Observer Using the Non-normality Measure (비정규지표를 이용한 Well-Conditioned 관측기 설계)

  • 정종철;허건수
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2001.10a
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    • pp.313-318
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    • 2001
  • In this paper, the well-conditioned observer is designed to be insensitive to the ill-conditioning factors in transient and steady-state observer performance. A condition number based on $L_2-norm$ of the eigenvector matrix of the observer matrix has been proposed on a principal index in the observer performance. For the well-conditioned observer design, the non-normality measure and the observability condition of the observer matrix are utilized. The two constraints are specified into observer gain boundary region that guarantees a small condition number and a stable observer. The observer gain selected in this region guarantees a well-conditioned and observable property. In this study, this method is applied to the Luenberger observer and Kalman filters. In designing Kalman filters for small order systems, the ratio of the process noise covariance to the measurement noise covariance is a design parameter and its effect on the condition number is investigated.

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A Design of Sliding Mode Observer for SISO Linear Systems (단일 입.출력 선형시스템에 대한 슬라이딩 모드 관측기 설계)

  • 문형장;권성하;박승규;정은태
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.24-24
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    • 2000
  • This paper proposes a design method of sliding mode observer for SISO linear systems with a disturbance input. We first construct an observer with a constant gain matrix, a feedforward injection map and an external feedforward compensation signal input. Using the second Lyapunov method, we present a sufficient condition for the existence of sliding mode observer. The proposed observer guarantees that the state error trajectories enter a certain region in finite time and remain inside thereafter.

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Reduced-Order Observer Design for Nonlinear Systems Using Input Output Linearization Transformation (입출력선형화 상태변환을 이용한 비선형 시스템의 저차 관측기 설계)

  • 조남훈
    • Journal of Institute of Control, Robotics and Systems
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    • v.10 no.10
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    • pp.907-914
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    • 2004
  • In this paper, we present a reduced-order observer for a class of nonlinear systems based on the input output linearization. While the most results in the literature presented full-order nonlinear observer, we proposed a procedure for the design of reduced-order observer far nonlinear systems that are not necessarily observable. Assuming that there exists a global observer fer internal dynamics and that certain functions are globally Lipschitz, we can design a global reduced-order observer An illustrative example is included that demonstrate the design procedure of the proposed reduced-order observer.

RCGA-Based State Observer Design for Container Cranes (컨테이너 크레인을 위한 RCGA기반 상태관측기 설계)

  • Ahn, Jong-Kap;Lee, Yun-Hyun;Ryu, Ki-Tak;Yoo, Heui-Han;So, Myung-Ok
    • Journal of Advanced Marine Engineering and Technology
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    • v.32 no.4
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    • pp.624-629
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    • 2008
  • This paper presents a scheme for designing a state observer for container cranes. If the system is completely observable with a given set of outputs, then it is possible to determine the states that are not directly measured. We consider the reduced-order states observer with only trolley position detection and with trolley position and container angle detection. The gain matrix of the each state observer is adjusted using a RCGAs. A set of simulation works is carried out to demonstrate the effectiveness of the proposed scheme.

Servo Design for High-TPI Hard Disk Drives Using a Delay-Accommodating State Estimator (위상지연이 고려된 상태관측기를 이용한 고밀도 HDD용 서보설계)

  • Kim, Y. H.;S. W. Kang;S. H. Chu
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11a
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    • pp.320.1-320
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    • 2002
  • In a hard disk drive (HDD) control system, a state-space controller/observer design is popularly adopted fur its advantages such as effective filtering of position and velocity, use of estimation error to handle servo defects, etc. In this report, a systematic method is proposed to accommodate the transport delay in the plant dynamics into the state estimator. (omitted)

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