• Title/Summary/Keyword: uncertainty observer

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Design and Analysis of a Robust State Estimator Combining Perturbation Observer (섭동관측기를 연합한 강인 상태추정기 설계 및 해석)

  • Kwon SangJoo
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.6
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    • pp.477-483
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    • 2005
  • This article describes a robust state estimation method which enables to produce reliable estimates in spite of heavy perturbation including plant uncertainty and external disturbances. The main idea is to combine the standard state estimator with the perturbation observer in the estimator frame. The perturbation observer reflects equivalent quantity of plant uncertainty and external disturbances during the estimation process so that the state estimator dynamics gets as close as possible to the real plant dynamics. The robust state estimator proposed in this paper is given in a recursive discrete-time form which is very useful fur implementation purpose. In terms of the error dynamics derived for the robust state estimator, we discuss the stability issue and noise sensitivity. The effectiveness and practicality of the robust state estimator are verified through numerical examples and experimental results.

Robust Position Control for PMLSM Using Friction Parameter Observer and Adaptive Recurrent Fuzzy Neural Network (마찰변수 관측기와 적응순환형 퍼지신경망을 이용한 PMLSM의 강인한 위치제어)

  • Han, Seong-Ik;Rye, Dae-Yeon;Kim, Sae-Han;Lee, Kwon-Soon
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.19 no.2
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    • pp.241-250
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    • 2010
  • A recurrent adaptive model-free intelligent control with a friction estimation law is proposed to enhance the positioning performance of the mover in PMLSM system. For the PMLSM with nonlinear friction and uncertainty, an adaptive recurrent fuzzy neural network(ARFNN) and compensated control law in $H_{\infty}$ performance criterion are designed to mimic a perfect control law and compensate the approximated error between ideal controller and ARFNN. Combined with friction observer to estimate nonlinear friction parameters of the LuGre model, on-line adaptive laws of the controller and observer are derived based on the Lyapunov stability criterion. To analyze the effectiveness our control scheme, some simulations for the PMLSM with nonlinear friction and uncertainty were executed.

Sensorless Control of Permanent Magnet Synchronous Motors with Compensation for Parameter Uncertainty

  • Yang, Jiaqiang;Mao, Yongle;Chen, Yangsheng
    • Journal of Electrical Engineering and Technology
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    • v.12 no.3
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    • pp.1166-1176
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    • 2017
  • Estimation errors of the rotor speed and position in sensorless control systems of Permanent Magnet Synchronous Motors (PMSM) will lead to low efficiency and dynamic-performance degradation. In this paper, a parallel-type extended nonlinear observer incorporating the nominal parameters is constructed in the stator-fixed reference frame, with rotor position, speed, and the load torque simultaneously estimated. The stability of the extended nonlinear observer is analyzed using the indirect Lyapunov's method, and observer gains are selected according to the transfer functions of the speed and position estimators. Taking into account the parameter inaccuracies issue, explicit estimation error equations are derived based on the error dynamics of the closed-loop sensorless control system. An equivalent flux error is defined to represent the back Electromotive Force (EMF) error caused by the inaccurate motor parameters, and a compensation strategy is designed to suppress the estimation errors. The effectiveness of the proposed method has been validated through simulation and experimental results.

Hydraulic Control System Using a Feedback Linearization Controller and Disturbance Observer - Sensitivity of System Parameters -

  • Kim, Tae-hyung;Lee, Ill-yeong;Jang, Ji-seong
    • Journal of Drive and Control
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    • v.16 no.2
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    • pp.59-65
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    • 2019
  • Hydraulic systems have severe nonlinearity inherently compared to other systems like electric control systems. Hence, precise modeling and analysis of the hydraulic control systems are not easy. In this study, the control performance of a hydraulic control system with a feedback linearization compensator and a disturbance observer was analyzed through experiments and numerical simulations. This study mainly focuses on the quantitative investigation of sensitivity on system uncertainties in the hydraulic control system. First, the sensitivity on the system uncertainty of the hydraulic control system with a Feedback Linearization - State Feedback Controller (FL-SFC) was quantitatively analyzed. In addition, the efficacy of a disturbance observer coupled with the FL-SFC for the hydraulic control system was verified in terms of overcoming the control performances deterioration owing to system uncertainty.

Observer Design for A Class of UncertainState-Delayed Nonlinear Systems

  • Lu Junwei;Feng Chunmei;Xu Shengyuan;Chu Yuming
    • International Journal of Control, Automation, and Systems
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    • v.4 no.4
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    • pp.448-455
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    • 2006
  • This paper deals with the observer design problem for a class of state-delayed nonlinear systems with or without time-varying norm-bounded parameter uncertainty. The nonlinearities under consideration are assumed to satisfy the global Lipschitz conditions and appear in both the state and measured output equations. The problem we address is the design of a nonlinear observer such that the resulting error system is globally asymptotically stable. For the case when there is no parameter uncertainty, a sufficient condition for the solvability of this problem is derived in terms of linear matrix inequalities and the explicit formula of a desired observer is given. Based on this, the robust observer design problem for the case when parameter uncertainties appear is considered and the solvability condition is also given. Both of the solvability conditions obtained in this paper are delay-dependent. A numerical example is provided to demonstrate the applicability of the proposed approach.

Observer-based Feedback Controller Design for Robust Tracking of Discrete-time Polytopic Uncertain LTI Systems

  • Oh, Sangrok;Kim, Jung-Su;Shim, Hyungbo
    • Journal of Electrical Engineering and Technology
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    • v.10 no.6
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    • pp.2427-2433
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    • 2015
  • This paper presents an observer-based robust controller for constant reference tracking of linear time invariant systems with polytopic model uncertainties. To this end, this paper not only designs a robust integral controller gain but also suggests how to determine the robust observer gain and the observer model used in the observer. Since the observer model selection is not obvious due to the polytopic uncertainties, particular attention needs to be paid to that. This paper computes the robust controller and observer gains first. Then, the observer model is selected in a way that the whole closedloop is stable and LMIs are used in the middle of choosing the gains and observer model. Simulation examples show that the proposed observer-based feedback control successfully achieves robust reference tracking.

Robust Stabilization of Uncertain LTI Systems via Observer Model Selection (관측기 모델 선정을 통한 모델 불확실성을 갖는 선형 시불변 시스템 강인 안정화)

  • Oh, Sangrok;Kim, Jung-Su;Shim, Hyungbo
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.8
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    • pp.822-827
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    • 2014
  • This paper presents a robust observer-based output feedback control for stabilization of linear time invariant systems with polytopic uncertainties. To this end, this paper not only finds a robust observer gain but also suggests how to determine the model used in the observer, which is not obvious due to model uncertainties in the conventional observer design method. The robust observer gain and the observer model are selected in a way that the whole closed-loop is stable by solving LMIs and BMIs (Linear Matrix Inequalities and Bilinear Matrix Inequalities). A simulation example shows that the proposed robust observer-based output feedback control successfully leads to closed-loop stability.

Robust Observer Design for an Isolated Power System with Model Uncertainty using H-Norm

  • Goya, Tomonori;Senjyu, Tomonobu;Omine, Eitaro;Yona, Atsushi;Urasaki, Naomitsu;Funabashi, Toshihisa
    • Journal of Power Electronics
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    • v.10 no.5
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    • pp.498-504
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    • 2010
  • The output power fluctuations of renewable energy power plants such as wind turbine generators and photovoltaic systems result in frequency deviations and terminal voltage fluctuations. Furthermore, these power fluctuations also affect the turbine shaftings of diesel generators and gas-turbine generators which are the main power generation systems on isolated islands. Therefore, it is important to achieve torsional torque suppression. Since the measurement of torsional torque is technically difficult, and there is an uncertainty in the mechanical constants of the shaft torsional system. This paper presents an estimation system that estimates torsional torque by using a developed $H_{\infty}$ observer. In addition to the above functions, the proposed shaft torque observer incorporates a parameter identification system that aims to improve the estimation accuracy. The simulation results validate the effectiveness of the proposed $H_{\infty}$ observer and the parameter identification.

Robust Non-Fragile $H_{\infty}$ Output Feedback Control for Descriptor Systems with Parameter Uncertainties (변수 불확실성을 가지는 특이시스템의 강인 비약성 $H_{\infty}$ 출력궤환 제어)

  • Kim, Jong-Hae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.2
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    • pp.389-395
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    • 2007
  • In this paper, we consider the robust non-fragile $H_{\infty}$ output feedback controller design method for uncertain descriptor systems with feedback and observer gain variations. The existence condition of observer-based robust and non-fragile $H_{\infty}$ output feedback controller and the controller design method are Presented on the basis of linear matrix inequality approach. The proposed robust non-fragile $H_{\infty}$ output feedback controller guarantees asymptotic stability, non-fragility, $H_{\infty}$ norm bound within a prescribed level in spite of disturbance, parameter uncertainty, and feedback/observer gain variations.

Design of an Adaptive Speed Controller for Induction Motors Using Nonlinear Disturbance Observer (비선형 외란 관측기를 이용한 유도전동기의 적응 속도제어기 설계)

  • Hwang, Young-Ho;Lee, Sun-Young;Chung, Kee-Chull;Han, Byoung-Jo;Yang, Hai-Won
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.1509-1510
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    • 2008
  • In this paper, we propose a robust adaptive controller for induction motors with uncertainties using nonlinear disturbance observer(NDO). The proposed NDO is applied to estimate the time varying lumped uncertainty which are derived from unknown motor parameters and load torque, but NDO error does not converge to zero since the derivate of lumped uncertainty is not zero. Then the high order neural networks(HONN) is presented to estimate the NDO error such that the rotor speed to converge to a small neighborhood of the desired trajectory. Rotor flux and inverse time constant are estimated by the sliding mode adaptive flux observer. Simulation results are provided to verify the effectiveness of the proposed approach.

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