• Title/Summary/Keyword: $H^{\infty}$ controller

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Robust H∞ Speed Controller Design of permanent magnet synchronous motor (영구자석 동기 전동기의 강인한 H∞ 속도 제어기 설계)

  • Ko, Da-Som;Jang, So-Hyun;Jang, Kyung-Min;Jang, Ji-Hye;Jo, Nam-Hoon
    • Proceedings of the KIEE Conference
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    • 2015.07a
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    • pp.1292-1293
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    • 2015
  • 기존에는 전동기 제어기법으로 PI제어기가 주로 사용되어 왔다. 그러나 실제 시스템의 경우 외란과 센서 잡음에 노출되기 쉽고, 모델의 불확실성에 대한 오차가 발생하기 때문에 보다 강인한 제어기법이 필요한 시점이다. $H{\infty}$제어기법은 명령 추종 성능, 시스템 모델 오차와 외란, 센서 잡음에 대해 강인성을 보장하는 고급제어기법으로서 현재 그 성능을 입증 받아 산업분야에서 다양하게 적용되고 있다. 본 논문은 매입형 영구자석 동기전동기(IPMSM)의 속도제어기에 $H{\infty}$제어기와 PI제어기를 적용하여 모의실험을 통한 성능비교를 통해 모델오차와 같은 시스템의 불확실성과 외란에 대해 $H{\infty}$제어기의 강인한 제어성능을 검증하였다.

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H Control for Networked Control Systems with Randomly Occurring Packet Losses and Disturbances (임의적 패킷 손실과 외란입력을 고려한 네트워크 제어 시스템의 H 제어기 설계)

  • Lee, Tae H.;Park, Ju H.;Kwon, Oh-Min;Lee, Sang-Moon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.62 no.8
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    • pp.1132-1137
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    • 2013
  • This paper considers the $H_{\infty}$ control problem for networked control systems(NCSs). In order to solve the problem which comes from discontinuous control signal in NCSs, an approach that discontinuous control signals treat time-varying delayed continuous signals is applied to achieve $H_{\infty}$ stability of NCSs. In addition, randomly occurring packet losses and disturbances are considered by introducing stochastic variables with Bernoulli distribution. Based on Lyapunov stability theory, a new stability condition is obtained via linear matrix inequality formulation to find the $H_{\infty}$ controller which achieves the mean square stability of NCSs. Finally, the proposed method is applied to a numerical example in order to show the effectiveness of our results.

A Study on the Position-Synchronous Control of Coupling Structure by H Approach (H제어기법에 의한 커플링구조의 위치동기제어에 관한 연구)

  • Byun, Jung-Hoan
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.10
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    • pp.2052-2059
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    • 2002
  • In this study, a synchronous controller algorithm being applicable to two-axis position synchronzation is developed. Based on coupling structure, the synchronous control system is composed of speed and synchronous controllers. The speed controller is designed to follow a speed reference. In addition, the synchronous controller is designed from the viewpoint of accurate synchronization and robust stability in H$\infty$ synthesis. Finally, the effectiveness of the presented controller is demonstrated through extensive experiments.

H-infinity Discrete Time Fuzzy Controller Design Based on Bilinear Matrix Inequality

  • Chen M.;Feng G.;Zhou S.S.
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.6 no.2
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    • pp.127-137
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    • 2006
  • This paper presents an $H_{\infty}$ controller synthesis method for discrete time fuzzy dynamic systems based on a piecewise smooth Lyapunov function. The basic idea of the proposed approach is to construct controllers for the fuzzy dynamic systems in such a way that a Piecewise smooth Lyapunov function can be used to establish the global stability with $H_{\infty}$ performance of the resulting closed loop fuzzy control systems. It is shown that the control laws can be obtained by solving a set of Bilinear Matrix Inequalities (BMIs). An example is given to illustrate the application of the proposed method.

A study on robust multivariable control of stewart platform type motion simulator (스튜어트 플랫폼 방식 운동재현기의 다변수 견실제어에 관한 연구)

  • 정규홍;박철규;이교일
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.736-741
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    • 1992
  • The Stewart platform is one example of a motion simulator which generates 6 DOF motion in space by 6 actuators connected in parallel. The present SISO controllers are designed to track displacement command of each actuator computed from reference 6 DOF motion of platform by Stewart platform inverse kinematics. But this type of control can't cope with external load variation, geometric configuration of motion simulator, and different dynamic behavior of 6 DOF motion. In this paper, a multivariable controller using H- optimal control theory is designed for linerized simulator model with each actuator driving force as control input and platform 6 DOF motion as measured output. Nonlinear simulation result of the H$_{\infty}$ MIMO controller is not satisfied in steady-state characteristics. But the proposed H$_{\infty}$ + PI control scheme shows acceptable performance.e.e.

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Design of Robust PI Controller for DC-DC Converter (DC-DC 컨버터에 대한 강인한 PI 제어기 설계)

  • Lee, Hyun-Seok;Ko, Chang-Min;Park, Seong-Hun;Park, Seung-Kyu;Ahn, Ho-Kyun
    • Proceedings of the KIEE Conference
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    • 2009.07a
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    • pp.997_998
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    • 2009
  • Nowadays DC-DC converter has been used widely in electronic production. It has a high requirement in wide input voltage, load variations, stability, providing a fast transient response and the most important thing is that it can be applied easily and efficiently. However, it is not easy to be controlled because of nonlinear system. This study introduces a fuzzy linear control design method for nonlinear systems with optimal $H^{\infty}$ robustness performance. First, the Takagi and Sugeno fuzzy linear model is employed to approximate a nonlinear system. Next, based on the fuzzy linear model, a fuzzy controller is developed to stabilize the nonlinear system, and at the same time the effect of external disturbance on control performance is attenuated to a minimum level. Thus based on the fuzzy linear model, ��$H^{\infty}$ performance design can be achieved in nonlinear control systems. Linear matrix inequality (LMI) techniques are employed to solve this robust fuzzy control problem. PI control structure is used and the control gains are determined based on $H^{\infty}$ control.

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Optimal Control and Robust Control of Rotating Shaft Using Magnetic Bearings (자기베어링을 이용한 회전축의 최적제어 및 강건제어)

  • Kang, Ho-Shik;Jeong, Namheul;Yoon, Il-Soung;Song, Ohseop
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.14 no.12
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    • pp.1330-1337
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    • 2004
  • In this study, the equations of motion of a rigid rotor supported by magnetic bearings are derived via Hamilton's principle, and transformed to a state-space form for control purpose. The optimal motion control of rotor magnetic bearing system based on the LQR(linear quadratic regulator) theory is addressed. New schemes related to the selection of the state weighting matrix Q and the control weighting matrix R involved in the quadratic functional to be minimized are proposed. And the robust control of the system with an LMI(linear matrix inequality) based H$_{\infty}$ theory is dealt with in this paper. Loop shapings of TFM (transfer function matrix) are used to increase the performance of control capability of the system. The control abilities of LQR and H$_{\infty}$ controller are compared by simulation and experimental tests and show that the capability of H$_{\infty}$ controller is superior to that of LQR.

Motion Control of Non-Contact Start/stop Hard Disk Drive Using Shape Memory Alloy Actuator (형상기억합금 작동기를 이용한 비접촉 시동 및 정지형 하드디스크 드라이브의 운동제어)

  • Im, Su-Cheol;Park, Jong-Seong;Choe, Seung-Bok;Park, Yeong-Pil
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.1
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    • pp.196-202
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    • 2002
  • In this work, we propose a new type of HDD suspension featuring shape memory alloy (SMA) actuator in order to prevent the contact between the slider and disk. The principal design parameters are obtained from the modal analysis using finite element analysis, and then the dynamic model is established to formulate the control scheme for Non-Contact Start/stop mode drive. Subsequently, a robust H$\_$$\infty$/ control algorithm is designed by integrating experimentally-Obtained SMA actuator dynamics to the proposed HDD suspension system. The controller is empirically realized and control results for the load/unload profiles are presented in time domain. In addition, the contact signal between the slider and disk is measured by the electrical resistance method.

Identification and Robust Control of a Flexible Manipulator (유연한 매니플레이터의 시스템 동정과 강건제어)

  • 송세환;박창용
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.227-277
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    • 2000
  • This paper presents an application of Mixed-Sensitivity H$_{\infty}$ control of a flexible manipulator. Firstly the detail model transfer function is derived from system identification. The objective is to position the free end of the beam with model including uncertainties and disturbance. we derive multiplicative uncertainties based on frequency response from difference between detail model and reduced model for designing controller. Finally we compare simulation results with experimental results.

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Reliable Robust Control for Singularly Perturbed Systems by Delta Operator Approach

  • Shim, Kyu-Hong;M. Edwin Sawan
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.34.5-34
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    • 2001
  • This paper presents a reliable H$\infty$ controller design for singularly perturbed systems by the delta operator approach that guarantees stability with a known H$\infty$ norm bound in case of failures in some control channels. Prespecified are the control channels that may experience failures. Sensor outage is covered in this paper It is shown that the delta systems have improved finite wort length characteristics in the example.

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