• Title/Summary/Keyword: Function Observer

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Optical Disk Drive Servo System Using Dual Disturbance Observer

  • Lee, Sang-Han;Jeong, Dong-Seul;Chung, Chung-Choo
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.2087-2092
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    • 2005
  • Using disturbance observer (DOB) is effective in enhancing the performance of dynamic system in the presence of disturbances. Recently the definition of disturbance has been expanded to modeling uncertainty including parameter variation, internal disturbance. Various structures of DOB have been proposed to improve sensitivity of system for better disturbance rejection performance. However in the case of improvement of sensitivity function, it tends to bring poor transient response due to cross-coupling and phase lag. Furthermore it could be very sensitive to measurement noise due to increased peak of complementary sensitivity function. In this paper, a dual disturbance observer (Dual-DOB) is proposed to reduce the effect of such cross-coupling. It is possible for us to improve the sensitivity function with additional external DOB with hardly affecting complementary sensitivity function. Thus it is able to have robustness against measurement noise. Since we are able to design DOBs of internal and external loop independently, we could prevent transient response quality from degrading while improving the sensitivity function. The proposed Dual-DOB is applied to a commercial optical disk drive tracking servo system. The experimental result shows that the Dual-DOB is an effective method in rejecting the disturbance as well as improving the tracking performance.

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An Instrument Fault Detection Scheme using Function Observers (함수관측자를 이용한 장치고장검출 기법)

  • Lee, Sang-Moon;Lee, Kee-Sang
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.55 no.3
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    • pp.91-97
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    • 2006
  • A major difficulty with the practical application of the multiple observer based IFDI schemes is the computational burden of the residual generation. In this paper, a new residual generator that employs function observers is proposed to reduce the computational burden, and the design methods of the IFDIS, equipped with the residual generator, are presented. The function observers employed in the residual generator can be considered as a dual of the unknown input (function) observer And it can be designed to estimate the measurement errors that are due to sensor faults. The error estimates are further processed to generate the residuals by which reliable fault detection/isolation result car be obtained. The proposed scheme is more useful, in real-time application, than any other multiple state observer based IFDISs. It can be effectively applied to fault tolerant control because the failure effects can be compensated by the use of the estimates of measurement errors. The proposed IFDI scheme is applied to an inverted pendulum control system for the IFDI of failed sensor and fault compensation.

Input Disturbance Estimation Using a General Structured Observer

  • Lee, Choong-Hwan;Shin, Min-Saeng;Kim, Hwan-Seong;Kim, Sang-Bong
    • Journal of Mechanical Science and Technology
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    • v.15 no.12
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    • pp.1609-1615
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    • 2001
  • This paper presents the characteristics of a general structured observer and presents an estimation algorithm for a system with external disturbances which are added to the input of the system. By using a disturbance model, the general structured observer can estimate the states of the system is spite of disturbances, where the system is affected from external disturbances. Also, the general structured observer can include the function of a PI observer or high gain observer by properly adjusting the observer's gain matrices. The existence condition for the observer is derived, which can be checked by the system's observability condition and the pole-zero cancellation of the system's polynomial matrix. Through a numerical example, it is verified that the proposed observer is effective estimating the system and the input disturbance.

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Design of Observer-based Controller for Interval Type-2 Fuzzy System Using Staircase Membership Function Approximation (계단모양 소속 함수 근사를 이용한 구간 2형 퍼지 시스템의 관측기 기반 제어기 설계)

  • Kim, Han-Sol;Joo, Young-Hoon;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 2011.07a
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    • pp.1732-1733
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    • 2011
  • This paper presents observer-based controller design for interval type-2 fuzzy system with staircase membership approximation. In type-2 fuzzy case, membership function is itself fuzzy set itself. Thus, type-2 fuzzy system can deal with parametric uncertainties of nonlinear system by capturing the uncertainties in membership function. Likewise, stabilization condition of type-2 fuzzy system is derived from quadratic Lyapunov function, and it goes to linear matrix inequality. Furthermore, in this paper, to relax the conservativeness of stabilization condition, staircase membership function approximating method is applied. Observer-based control method is adopted to control system which has some unmeasurable states. To prove suitability of our proposed method, numerical example is presented.

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Design of Digital Tracking Controller based on Disturbance Observer for Micro Electrostatic Actuator with Nonlinearity (비 선형 요소를 갖는 정전 마이크로 구동기의 외란 관측기에 기초한 디지털 추종 제어기 설계)

  • Choe, Hyun-Taek;Suh, Il-Hong
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.6
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    • pp.773-780
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    • 1999
  • A digital tracking controller is proposed for micro electrostatic actuator with input nonlinearity, where disturbance observer is utilized in cooperation with inverse function. Generally the disturbance observer is announced to be robust to modeling uncertainty, and external disturbance. But, when the nonlinearity exists in the systems, the disturbance observer may not directly be applied to that system, because the nonlinearity may destabilize the overall system. Therefore, first, we linearize the nonlinear input characteristics of micro electrostatic actuator by the use of inverse function. Secondly, we apply disturbance observer to approximately linearized system for eliminating the residuals of nonlinearity and the modeling uncertainty. Then, we get the good properties of the disturbance rejection as well as the robustness due to the own nature of disturbance observer. In this case, we propose a sufficient condition for the robust stability of overall systems. Furthermore, we discuss the problem that may be exposed when disturbance observer is applied to the internally stable system with saturation, and analyze two methods to overcome input saturation problem in the sense of internal stability. Simulations have been carried out to show the effectiveness of the proposed controller.

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Unknown Inputs Observer Design Via Block Pulse Functions

  • Ahn, Pius
    • Transactions on Control, Automation and Systems Engineering
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    • v.4 no.3
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    • pp.205-211
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    • 2002
  • Unknown inputs observer(UIO) which is achieved by the coordinate transformation method has the differential of system outputs in the observer and the equation for unknown inputs estimation. Generally, the differential of system outputs in the observer can be eliminated by defining a new variable. But it brings about the partition of the observer into two subsystems and need of an additional differential of system outputs still remained to estimate the unknown inputs. Therefore, the block pulse function expansions and its differential operation which is a newly derived in this paper are presented to alleviate such problems from an algebraic form.

A Novel Disturbance Observer Design for Dynamic Systems (동적 시스템을 위한 새로운 외란 관측기 설계)

  • Sho, Jae-Hyuk;Chung, Chung-Choo
    • Proceedings of the KIEE Conference
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    • 2003.11c
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    • pp.388-391
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    • 2003
  • Disturbance observer(DOB) is effective to enhance the performance of system in the presence of disturbances. Various types of disturbance observer have been proposed to improve sensitivity function of system. However, it has been observed that current DOBs tend to bring poor transient response due to cross-couplings. This paper proposes a new type of disturbance observer to reduce effect of cross-couplings and provide simpler structure than Dual DOB. Finally, we verify the performance of the proposed DOB through numerical simulations.

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Intelligent Decentralized Observer Design for Discrete-Time Nonlinear Interconnected Systems (이산시간 비선형 상호결합 시스템을 위한 지능형 분산 관측기 설계)

  • Koo, Geun Bum
    • Journal of the Korean Institute of Intelligent Systems
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    • v.27 no.1
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    • pp.15-21
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    • 2017
  • In this paper, the decentralized fuzzy observer design technique is presented for discrete-time nonlinear interconnected systems, which are assumed to be with unknown interconnections. To design the decentralized fuzzy observer, the design problem is considered and the performance function is defined to solve the design problem. Based on the performance function, the sufficient condition is derived for the observer design, and its condition is formulated into linear matrix inequalities. Finally, by the simulation result, the validity of the proposed observer design technique is shown.

Robust Speed Control of an Autonomous Vehicle Using Disturbance Observer (외란 관측기를 이용한 모형 자율 주행 자동차의 강인 속도 제어)

  • Ko, Young-Jun;Kim, Young-Jun;Kim, Jung-Su
    • Journal of Institute of Control, Robotics and Systems
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    • v.22 no.5
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    • pp.339-345
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    • 2016
  • This paper presents a robust speed control of an autonomous vehicle using a disturbance observer. For the purpose, the transfer function of speed dynamics of an autonomous vehicle is identified using step response data. Based on the identified transfer function, model based PID (Proportional-Integral-Derivative) control is designed. In order to design a robust control against load variations on the vehicle, a disturbance observer (DOB) based control is devised. The performance of the designed DOB based control is demonstrated by real experiments.

Design of Sliding-mode Observer for Robust Speed Sensorless Induction Motor Drive

  • Son, Young-Dae;Lee, Jong-Nyun
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.488-492
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    • 2004
  • In this paper, the design of a speed sensorless vector control system for induction motor is performed by using a new sliding mode technique based on current model flux observer. A current and flux observer based on the current estimation error is constructed. The proposed current observer includes a sliding mode function, which is derivative of the flux. That is, sliding mode observer which allows the estimation of both the rotor speed and flux based on the measurement of motor terminal quantities, would be proposed. And, a synergetic speed controller using the estimated speed signal is designed to stabilize the speed loop. Simulation results are presented to confirm the theoretical analysis, and to show the system performance with different observer gains and the influence of the motor parameter.

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