• Title/Summary/Keyword: Linear Observer

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New observer design for Linear Systems with Unknown Inputs : Dynamic UIO

  • Kim, Chan-Hoi;Park, Jong-Koo
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.26.4-26
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    • 2001
  • This paper proposes a dynamic observer that is applicable to linear time-invariant systems subject to unknown inputs. The proposed method utilizes the output feedback control structure to design an unknown input observer. We name it as the dynamic unknown input observer(UIO). The dynamic UIO can be designed easily compared to the usual static UIO, and the system response could be improved.

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Observer-based sampled-data controller of linear system for the wave energy converter

  • Koo, Geun-Bum;Park, Jin-Bae;Joo, Young-Hoon
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.11 no.4
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    • pp.275-279
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    • 2011
  • In this paper, an observer-based sampled-data controller of linear system is proposed for the wave energy converter. Based on the sampled-data observer, the controller is design. In the closed-loop system with controller, it obtains the norm inequality between the continuous-time state variable and the discrete-time one. Using the norm inequality, sufficient condition is derived for the asymptotic stability of the closed-loop system and formulated in terms of linear matrix inequality. Finally, the wave energy converter simulation is provided to verify the effectiveness of the proposed technique.

Observer design with Gershgorin's disc

  • Si, Chen;Zhai, Yujia
    • Journal of the Korea Convergence Society
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    • v.4 no.4
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    • pp.41-48
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    • 2013
  • Observer design for system with unknown input was carried out. First, Kalman filter was considered to estimate system state with White noise. With the results of Kalman filter design, state observer, controller properties, including controllability and observability, and the Kalman filter structure and algorithm were also studied. Kalman filter algorithm was applied to Position and velocity measurement based on Kalman filter with white noise, and it was constructed and achieved by programming based on Matlab programming. Finally, observer for system with unknown input was constructed with the help of Gershgorin's disc theorem. With the designed observer, system states was constructed and applied to system with unknown input. By simulation results, estimation performance was verified. In this project, state feedback control theory, observer theory and relevant design procedure, as well as Kalman filter design were understood and used in practical application.

Design of Non-linear Observer to Estimate Yaw Rate and Sidel Slip Angle (Yaw Rate 및 Side Slip Angle 추정을 위한 비선형 관측기 설계)

  • Song, Jeong-Hoon
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.11 no.5
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    • pp.48-53
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    • 2012
  • A non-linear vehicle model and an observer are designed to observe the yaw rate and the body side slip angle when a vehicle is turning maneuver in this study. The developed vehicle model is a full car model and has fourteen degree of freedom. A Luenberg observer is applied to develop the observer. The vehicle model is validated with a reference result and shows good accordance. The observer is tested on dry asphalt, wet asphalt and snow paved road. The results prove the performance of observer is robust and reliable.

Improvement of Tansient Response Characteristics of a Position Control Hydraulic Servosystem Using Observer (II) -Experimental Results Using Analog Observer- (觀測器를 利용한 位置制御 油壓 서보 시스템의 過度應答 特性 改善 (II) -애널로그 관측기를 이용한 실험결과-)

  • 이교일;조승호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.2
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    • pp.215-220
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    • 1988
  • The oscillatory hydraulic servosystem and the stable hydraulic servosystem under proportional control were feedback-controlled respectively using the estimated states of the observer. The observer was constructed in the analog computer and then it was interfaced with the real hydraulic servosystem to excute the experiment. As a result of experiment, the system that had been stable under proportional control responded more rapidly than before and the system that had shown oscillatory phenomenon under proportional control became stable with the same maximum acceleration and velocity that it had started under proportional control.

Robust Adaptive Observer Design for a Class of Nonlinear Systems via an Optimization Method (최적화 기법에 의한 비선형 시스템에서의 강인한 적응 관측기 설계)

  • Jung Jong-Chul;Huh Kun-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.10 s.253
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    • pp.1249-1254
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    • 2006
  • Existing adaptive observers may cause the parameter drifts due to disturbances even if state estimation errors remain small. To avoid the drift phenomena in the presence of bounded disturbances, several robust adaptive observers have been introduced addressing bounds in state and parameter estimates. However, it is not easy for these observers to manipulate the size of the bounds with the selection of the observer gain. In order to reduce estimation errors, this paper introduces the (equation omitted) gain minimization problem in the adaptive observer structure, which minimizes the (equation omitted) gain between disturbances and estimation errors. The stability condition of the adaptive observer is reformulated as a linear matrix inequality, and the observer gain is optimally chosen by solving the convex optimization problem. The estimation performance is demonstrated through a numerical example.

A Study on the Load Torque Observer based on Fuzzy Logic Control for a PM Synchronous Motor (영구자석 동기전동기를 위한 퍼지 제어기법 기반의 부하 토크관측기에 관한 연구)

  • Jung, Jin-Woo;Lee, Dong-Myung
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.24 no.10
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    • pp.26-32
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    • 2010
  • This paper proposes a new load torque observer based on the Takagi-Sugeno fuzzy method for a permanent magnet synchronous motor(PMSM). A Linear Matrix Inequality(LMI) parameterization of the fuzzy observer gain is given, and the LMI conditions are derived for the existence of the fuzzy load torque observer guaranteeing $\alpha$-stability and linear quadratic performance. In this paper, a nonlinear speed controller is employed to validate the performance of the proposed fuzzy load torque observer, and various simulation results are presented under motor parameter and load torque variations.

A Design of Linear State Observers for Motorized Seat Belt System (전동식 안전벨트 시스템의 선형 상태 관측기 설계)

  • Lee, Kang-Seok;Choi, Chin-chul;Lee, Woo-Taik
    • Transactions of the Korean Society of Automotive Engineers
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    • v.20 no.3
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    • pp.58-66
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    • 2012
  • This paper describes a design and a verification of linear state observers for a motorized seat belt system to estimate state information such as angular velocity and load torque. The motorized seat belt system provides functions to protect passengers and improve passenger's convenience. To realize these functions, sensors which can measure an angular velocity and load torque are needed. By use of the linear state observer, state information can be estimated without sensors. The motorized seat belt system is analysed and represented as a state space model which contains load torque as an augmented state. By the developed state space model, a full and reduced order observer are designed and verified by experiments. The full and reduced order observer are also compared from points of view of execution time and noise robustness.

Sliding Mode Observer for Fuzzy System: An LMI Approach (LMI를 이용한 퍼지 시스템의 슬라이딩 모드 관측기 설계)

  • Song Min-Kook;Joo Young-Hoon;Park Jin-Bae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.16 no.4
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    • pp.506-511
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    • 2006
  • This paper considers a method to design sliding mode observers for a class of uncertain systems using Linear Matrix Inequalities(LMI). In an LMI-based sliding mode observer design method for a class of uncertain systems the switching surface is set to be the difference between the observer and system output. In terms of LMIs, a necessary and sufficient condition is derived for the existence of a sliding-mode observer guaranteeing a stable sliding motion on the switching surface. The gain matrices of the sliding-mode observer are characterized using the solution of the LMI existence condition. The results are illustrated by an example.

New UIO(unknown input observer) using dynamic observer design (동적 관측자 설계 법을 이용한 새로운 UIO(unknown input observer))

  • 김찬희;박종구
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.193-193
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    • 2000
  • This paper proposes a dynamic observer that is applicable to linear time-invariant systems subject to unknown input, The proposed method utilities Che output feedback control structure to design unknown input observer. We name it as the dynamic unknown input observer(UIO). The dynamic UIO can be designed easily over the usual static UIO, and the system response could be improved.