• Title/Summary/Keyword: $H^\infty$control

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Speed Controller Design for BLDC Motors Using Robust PID Control (강인 PID 제어를 이용한 BLDC 모터의 속도제어 시스템 설계)

  • Kim, In-Soo;Lee, Young-Jin;Park, Sung-Jun;Park, Han-Woong;Lee, Man-Hyung
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2658-2660
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    • 2000
  • 본 논문은 주파수역에서의 모델매칭을 이용하여 강인한 성능의 PID 제어기 튜닝법을 제안하였다. 이를 이용하여 부하토크 외란에도 강인한 성능의 BLDC 모터의 속도제어기를 설계하였다. 부하토크 외란이 존재하여도 주어진 기준명령을 강인하게 추종하도록 $H_{\infty}$ 제어를 이용하여 속도제어기를 설계한 후, 설계할 PID 제어계의 루프 전달함수와 설계된 $H_{\infty}$ 제어계의 루프 전달함수간의 오차가 주파수역에서 최소가 되도록 PID 제어기 파라미터를 튜닝하였다. BLDC 모터의 속도제어 시뮬레이션을 통하여 설계된 강인 PID 제어기의 성능을 평가하였다.

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Input Constrained Receding Horizon H$_{\infty}$ Control: Quadratic Programming Approach

  • Lee, Young-Il
    • International Journal of Control, Automation, and Systems
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    • v.1 no.2
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    • pp.178-183
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    • 2003
  • This work is a modified version of an earlier work that was based on ellipsoidal type feasible sets. Unlike the earlier work, polyhedral types of invariant and feasible sets are adopted to deal with input constraints. The use of polyhedral sets enables the formulation of on-line algorithm in terms of QP (Quadratic Programming), which can be solved more efficiently than semi-def algorithms. A simple numerical example shows that the proposed method yields larger stabilizable sets with greater bounds on disturbances than is the case in the earlier approach.

A Study on Rudder-Roll Stabilization System Design for Ship with Varying Ship Speed (선박 주행속도 변화를 고려한 Rudder-Roll Stabilization System 설계에 관한 연구)

  • Kim, Young-Bok;Chea, Gyu-Hoon
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.5
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    • pp.363-372
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    • 2002
  • In ship operation, the roll motions can seriously degrade the performance of mechanical and personnel effectiveness. So many studies for the roll stabilization system design have been performed and good results have been achieved. In many studies, the stabilizing fins are used. Recently rudders, which have been extensively modified, have been used exclusively to stabilize the roll. But, in the roll stabilization control system, the control performance is very sensitive to the ship speed. So, we can see that it is important to consider the ship speed in the rudder roll control system design. The gain-scheduling control technique is very useful in the control problem incorporating time varying parameters which can be measured in real time. Based on this fact, in this paper we examine the;$H_{\infty}$-Gain Scheduling control design technique. Therefore, we assume that a parameter, the ship speed which can be estimated in real time, is varying and apply the gain-scheduling control technique to design the course keeping and anti-rolling control system far a ship. In this control system, the controller dynamics is adjusted in real-time according to time-varying plant parameters. The simulation result shows that the proposed control strategy is shown to be useful for cases when the ship speed is varying and robust to disturbances like wind and wave.

Robust Hybrid Control System (강인 복합제어 시스템)

  • 박규식;정형조;오주원;이인원
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2003.09a
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    • pp.442-449
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    • 2003
  • This paper presents a robust hybrid control system for seismic response control of a cable-stayed bridge. Because multiple control devices are operating, a hybrid control system could alleviate some of restirctions and limitations that exist when each system is acting alone. A LQG algorithm with on-off control scheme, H$_2$ and H$_{\infty}$ control algorithms with various frequency weighting filters are used to improve the controller robustness of the active control part in the hybrid control system. The numerital simulation results show that control performances of robust hybrid control systems are similar to those of the hybrid control system with LQG algorithm. Furthermore, it is verified that robust hybrid control systems are more robust than the hybrid control system with LQG algorithm and there are no signs of instabilities in the $\pm$5% stiffness matrix perturbed system. Therefore, the proposed hybrid control system have a good robustness for stiffness matrix perturbation without loss of control effectiveness.

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Robust Stability and Disturbance Attenuation for a Class of Uncertain Singularly Perturbed Systems

  • Karimi, H.R.;Yazdanpanah, M.J.
    • Transactions on Control, Automation and Systems Engineering
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    • v.3 no.3
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    • pp.164-169
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    • 2001
  • This paper considers the problem of robust stabilization and disturbance attenuation for a class of uncertain singularly perturbed systems with norm-bounded nonlinear uncertainties. It is shown that the state feedback gain matrices can be determined to guarantee the stability of the closed-loop system for all $\varepsilon$$\in$(0, $\infty$). Based on this key result and some standard Riccati inequality approaches for robust control of singularly perturbed systems, a constructive design procedure is developed.

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H$\infty$ Controllers for Symmetric Systems: A Theory for Attitude Control of Large Space Structures

  • Kim, Jae-Hoon;Sim, Eun-Sup
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.92.3-92
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    • 2001
  • This paper is concerned with robust attitude control of large space structures with collocated sensors and actuators. Since the transfer function matrices of such systems are symmetric, it seems suitable to employ symmetric controllers. This paper shows that it is true if no constraint is imposed on the orders of the controllers, but it is not true if the orders of the controllers are specified to be lower than that of the system to be controlled.

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Contruction of a robust control system for a plant with time delay

  • Morikawa, Youichi;Kamiya, Yuji
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.103-105
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    • 1995
  • In this paper, though Simith controller is also used, we propose a new system configuration which can be regarded an SISO continuous nth-order plant with time delay of k-times of a sampling period as a linear discrete (n + k)th order plant of which all state variables can be available. Consequently, we can pply linear control system design techniques which do not consider the existence of time delay to the proposed system.

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Robust Control of Horizontal-Shaft Magnetic Bearing System considering Pole Assignment Region (극 영역을 고려한 횡축형 자기 베어링 시스템의 로버스트 제어)

  • 김창화;추만석;양주호
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.21-21
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    • 2000
  • In this paper, we design the state feedback gain using linear matrix inequality(LMI) to the multiobjective synthesis, in the magnetic bearing system with integral type servo system. The design objectives can be a H$\_$$\infty$/ performance, asymptotic disturbance rejection, time-domain constraints, on the closed-lnp pole location. To the end, we investigated the validity of the designed controller through results of simulation.

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Position control fo a flexible gantry robot arm using smart actuators (스마트 작동기를 이용한 갠트리형 유연로봇팔의 위치제어)

  • 한상수;최승복
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1800-1803
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    • 1997
  • This paper presents new feedback actuators to achieve an accurate position control of a flexible gnatry robot arm. the translational motion in the plane is generated by two d.c.motors and controlled by emplying elecor-rheological(ER) clutch acutators. The generated motion can be continuously controlled by controlling the intensity of lectric field imposed to the ER fluid domain which tunes the transmitted torque of the ER clutch. n the other hand, during control action of the translational motion a flexible arm attached to the moving mass produces undesirable oscillatins due to its inherent flexibility. The oscillations are actively suppressed by applying feedback voltages to piezoceramic acutators bonded on the surface of the flexible arm. The control electric fields to be applied to the ER clutch and the control voltage for the piezoceramic actuator are determined via the loop shaping esign procedures(LSDP) in the H.inf. control technique. Comsequently, an accuate positiion control at the end-point of the flexible am is achieved during planar motion.

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