• Title/Summary/Keyword: Robust Parameter Design

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Robust $H^{\infty}$ control for parameter uncertain time-varying systems with time-varying delays in state and control input (파라미터 불확실성 시변 시간지연 시스템에 대한 견실 $H^{\infty}$ 제어)

  • 김기태;김종해;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.113-116
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    • 1997
  • In this paper, we present a robust $H^{\infty}$ controller design method for parameter uncertain time-varying systems with disturbance and that have time-varying delays in both state and control. It is found that the problem shares the same formulation with the $H^{\infty}$ control problem for systems without uncertainty. Through a certain differential Riccati inequality approach, a class of stabilizing continuous controller is proposed. For parameter uncertainties, disturbance and time varying delays, proposed controllers the plant and guarantee an $H^{\infty}$ norm bound constraint on disturbance attenuation for all admissible uncertainties. Finally a numerical example is given to demonstrate the validity of the results.ts.

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Design of a Surface-Mounted PMSM Current Controller Using Uncertainty Estimation with a PI Observer (PI 관측기의 불확실성 추정을 이용한 표면부착형 영구자석 동기기의 전류 제어기 설계)

  • Kim, In-Hyuk;Choi, Dae-Sik;Son, Young-Ik
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.5
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    • pp.1011-1016
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    • 2011
  • This paper presents a robust current controller for a surface-mounted permanent magnet synchronous motor(SPMSM) by using a PI observer. The decoupling PI(proportional-integral) controller combined with an additional feed-forward compensation has been used for the current controller. The classical feed-forward compensation using velocity information and system parameters is not expected to achieve a robust performance against parameter uncertainties. This paper has adopted a PI observer for the feed-forward compensation to cope with parameter uncertainties without using velocity information. A simple PI observer has been designed to compensate the disturbances that represent velocity coupled terms and parameter uncertainties. Experimental results as well as computer simulations with 630W SPMSM confirm that the proposed approach can deal with the effects of the disturbance and improve the control performance.

Robust Controller Design for the Regulation of Currents in a Three-phase Load (3상 부하 전류 제어를 위한 강인한 제어기 설계기법)

  • Jee, Sujung;Jo, Nam-Hoon
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.27 no.7
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    • pp.17-23
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    • 2013
  • The regulation of currents in a three-phase load is an important issue for electric power systems. The most popular conventional method is a decoupling controller that compensates the coupling terms arising from DQ rotating frame transformation. Although the decoupling controller achieves decent performance in the absence of load parameter uncertainties, the variation of parameters causes performance to degrade intolerably. In this paper, we propose to use disturbance observer based controller to improve the control performance in spite of the parameter uncertainties. The computer simulation study validates the effectiveness of the proposed method.

A Study on the Position Control of Electrohydraulic Servo System Using Adaptive Sliding Mode Control (Adaptive Sliding Mode Control을 이용한 전기유압식 서어보시스템의 위치제어에 관한 연구)

  • Hyun, Jang-Hwan;Lee, Chug-Oh
    • Journal of the Korean Society for Precision Engineering
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    • v.11 no.6
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    • pp.143-157
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    • 1994
  • This paper is concerned with the position control of electrohydraulic servo system under parameter variation. An adaptive sliding mode control which uses the direct parameter estimation scheme, is proposed to design a robust controller for fast and accurate control of the system. It is shown that the adaptive sliding mode control algorithm is robust and effective in attaining fast and accurate position control of system under time-dependent parameter variation. It is also shown experimentally that chattering phenomena in a sliding mode control can significantly be reduced by using boundary layer technique, and that new approach in sliding mode control introducing a term proportional to the distance between the current state and the sliding surface in the control law is effective to obtain fast response and to increase stability of the system. Computer simulation on the dynamic performance of the control system is also presented.

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A Design on Robust Model Following Servo System Using $\delta$--Operator ($\delta$-연산자를 이용한 강인한 모델 추종형 서보 제어 시스템의 구성에 관한연구)

  • Kim, Chung-Tek;Hwang, Hyun-Joon
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.2
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    • pp.121-126
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    • 2000
  • In the fast sampling limit the delta operator model tends to the analog system model. This fundamental property of the delta operator model unifies continuous and discrete time control system. In this paper we study robust linear optimal model following servo system in the presence of disturbances and parameter perturbations. A technique to directly design the generalized differential operator based unified control system that covers both differential operator based continuous time and delta operator based discrete time case is presented. The quadratic criterion function for a linear system is used to design the robust unified servo control system The characteristics of the proposed servo system are analysed and simulated to verify the robustness.

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A Design on Robust Model Following Servo System using $\delta$- Operator ($\delta$- 연산자를 이용한 강인한 모델 추종형 서보 시스템의 구성에 관한 연구)

  • Kim, Jeong-Taek;Lee, Hwa-Seok;Park, Seong-Jun;Chu, Yeong-Bae;Hwang, Hyeon-Jun;Lee, Yang-U;Park, Jun-Ho
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.6
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    • pp.747-752
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    • 1999
  • In the fast sampling limit, the delta operator model tends to the analog system model. This fundamental property of the delta operator model unifies continuous and discrete time control system. In this paper, we study robust linear optimal model following servo system in the presence of disturbances and parameter perturbations. A technique to directly design the generalized differential operator based unified control system that convers both differential operator based continuous time and delta operator based discrete time case is presented. The quadratic criterion function for a linear system is used to design the robust unified servo control. The characteristics of the proposed servo system are analysed and simulated to verify the robustness.

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Robust Backstepping Design of Nonlinear Systems Using Adaptation Strategy for Uncertaninties (불확실성 적응기법을 이용한 비선형 시스템의 강인 백스테핑 설계)

  • Kim, Dong-Heon;Kim, Eung-Seok;Yang, Hae-Won
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.7
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    • pp.605-613
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    • 2001
  • In this paper, we design a robust adaptive controller for a nonlinear system with uncertainties to be rejected via disturbance adaptation law. The nonlinear system considered has unknown nonlinear functions being influenced by external disturbance. The upper bound of unknown nonlinear functions at each time is estimated by using a disturbance adaptation law. The estimated nonlinear functions are used to design a stabilizing function a control input. Tuning function is used to estimates unknown system parameter without overparametrization. A set-point regulation error converges to a residual set close to zero asymptotically. The effectiveness of the proposed controller is investigated by computer simulation.

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A Design on Robust Servo Controller Using ${\delta}$ - Operator (${\delta}$ - 연산자를 이용한 강인한 서보 제어기의 설계)

  • Hwang, Hyun-Joon;Kim, Jeong-Tek
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2602-2604
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    • 2000
  • In this paper, we study robust linear optimal model following servo system in the presence of disturbances and parameter perturbations. A technique to directly design the generalized differential operator based unified control system that covers both differential operator based continuous time and delta operator based discrete time case is presented. The quadratic criterion function for a linear system is used to design the robust unified servo control system. This servo control system is designed by applying a simple genetic algorithm to follow the output of the reference model optimally. The characteristics of the proposed servo system are analysed and simulated to verify the robustness.

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Design of output feedback variable structure control system with robust properties (출력궤한 가변구조제어게의 강인성 설계)

  • 이기상;임재형;이정동
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.1199-1205
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    • 1993
  • It has been well known that the assumption of full state availability is one of the most important restrictions to the practical realization of VSCS. And several attempts to alleviate the assumption had been made. However, it is not easy to find a positive scheme among them. Recently, an output feedback variable structure control system(OFVSCS) was proposed and the effectiveness of the scheme was validated for the disturbance free systems. The purpose of this study is to propose a robust OFVSCS that have the robust properties against process parameter variations and external distrubances by extending the basic OFVSCS and to evaluate its control performances through power system stabilizer design example. The ROFVSCS is composed of dynamic switching function and output feedback switching control inputs that are constructed by the use of the unknown vector modeling technique. With the proposed scheme, existence of sliding mode is guaranteed and any nonzero bias can be suppressed in the face of disturbances and process parameter variations as far as well-known matching condition is satisfied. Due to the fact that the ROFVSCS is driven by small number of measured informations, the practical application of VSCS for the systems with unmeasurable states and for high order systems that conventional schemes cannot be applied, is possible with the proposed scheme. It is noticeable that the implementation cost of VSCS can be considerably reduced without sacrifice of control performances by adopting ROFVSCS since there is no need measure the states with high measurement cost.

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Robust Speed Control of Vector Controlled PMSM with Load Torque Observer (부하토오크 관측기를 이용한 영구자석 동기전동기의 강인성 속도 제어)

  • Yoon, Byung-Do;Kim, Yoon-Ho;Kim, Won-Oh;Yoon, Myung-Kyun
    • Proceedings of the KIEE Conference
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    • 1991.07a
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    • pp.559-563
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    • 1991
  • Permanent magnet synchronous motor (PMSM) is receiving increased attention for servo drive applications in recent years because of its high torque to inertia ratio, superior power density and high efficiency. Vector-controlled PMSM has the same operating characteristics as separately excited dc motor. The drive system of servo motor is requested to have an accurate response for the speed reference and a quick recovery for the disturbance such as load torque. However the dynamics of PMSM drive change greately by parameter variations. Morever, when the unkown and inaccessible disturbances are imposed on PMSM, the drive system is given a significant effect by them. As a result, the drive system with both a fast drive performance and a reduced sensitivity to parameter variations is requested. In this paper, the robust control system of PMSM with torque feedforward using load torque observer is presented. In the proposed system, load torque is estimated by the reduced order observer, and the robust control system against load torque variation is realized using the torque feedforward. Moreover, the design of speed controller with the torque observer is discussed. Simulation results show that the proposed method is effective for suppression of parameter variations and load disturbance.

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