• 제목/요약/키워드: $H_\infty$Control

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압전 작동기로 구동 되는 공압 밸브의 $H_{\infty}$ 압력제어 ([ $H_{\infty}$ ] Pressure Control of Pneumatic Valve Driven by Piezoactuators)

  • 유중규;조명수;최승복
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집A
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    • pp.673-678
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    • 2001
  • This paper proposes a new type of piezoactuator-driven valve system. The piezoceramic actuator bonded to both sides of a flexible beam surface makes a movement required to control the pressure at the flapper-nozzle of a pneumatic valve system. After establishing a dynamic model, an appropriate size of the valve system is designed and manufactured. Subsequently, a robust $H_{\infty}$ control algorithm is formulated in order to achieve accurate tracking control of the desired pressure. The controller is experimentally realized and control performance for the sinusoidal pressure trajectory is presented in time domain. The control bandwidth of the valve system, which directly represents the fastness, is also evaluated in the frequency domain.

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Output Feedback Fuzzy H(sup)$\infty$ Control of Nonlinear Systems with Time-Varying Delayed State

  • Lee, Kap-Rai
    • Transactions on Control, Automation and Systems Engineering
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    • 제2권4호
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    • pp.248-254
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    • 2000
  • This paper presents and output feedback fuzzy H(sup)$\infty$ control problem for a class of nonlinear systems with time-varying delayed state. The Takagi-Sugeno fuzzy model is employed to represent a nonlinear systems with time-varying delayed state. Using a single quadratic Lyapunov function, the globally exponential stability and disturance attenuation of the closed-loop fuzzy control system are discussed. Sufficient conditions for the existence of fuzzy H(sup)$\infty$ controllers are given in terms of matrix inequalities. Constructive algorithm for design of fuzzy H(sup)$\infty$ controller is also developed. A simulation example is given to illustrate the performance of the proposed design method.

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혼합강도 $H_{\infty}$ 제어기법을 이용한 강인한 부하주파수 제어기 설계 (Design of Robust Load Frequency Controller using Mixed Sensitivity based $H_{\infty}$ norm)

  • 정형환;김상효;이정필;한길만
    • Journal of Advanced Marine Engineering and Technology
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    • 제24권3호
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    • pp.88-98
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    • 2000
  • In this paper, a robust controller using $H_{\infty}$ control theory has been designed for the load frequency control of interconnected 2-area power system. The main advantage of the proposed $H_{\infty}$ controller is that uncertainties of power system can be included at the stage of controller design. Representation of uncertainties is modeled by multiplicative uncertainly. In the mixed sensitivity problems, disturbance attenuation and uncertainty of the system is treated simultaneously. The robust stability and the performance of model uncertainties are represented by frequency weighted transfer function. The design of load frequency controller for each area was based on state-space approach. The comparative computer simulation results for the proposed controller and the conventional techniques such as the optimal control and the PID one were analyzed at the additions of various disturbances. Their deviation magnitude of frequency and tie line power flow at each area were mainly evaluated. Also the testing results of robustness for the cases that the perturbations of the all parameters of power system were amounted to about 20% were introduced. It was approved that the resultant performances of the proposed $H_{\infty}$ controller with mixed sensitivity were more robust and stable than the one of conventional controllers.

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$H_{\infty}$ Composite Control for Singularly Perturbed Nonlinear Systems via Successive Galerkin Approximation

  • Kim, Young-Joong;Kim, Beom-Soo;Shin, Eun-Chul;Yoo, Ji-Yoon;Lim, Myo-Taeg
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.407-412
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    • 2004
  • This paper presents a new algorithm for the closed-loop $H_{\infty}$ composite control of singularly perturbed nonlinear systems with a exogenous disturbance, using the successive Galerkin approximation(SGA). The singularly perturbed nonlinear system is decomposed into two subsystems of a slow-time scale and a fast-time scale via singular perturbation theory, and two $H_{\infty}$ control laws are obtained to each subsystem by using the SGA method. The composite control law that consists of two $H_{\infty}$ control laws of each subsystem is designed. One of the purposes of this paper is to design the closed-loop $H_{\infty}$ composite control law for the singularly perturbed nonlinear systems via the SGA method. The other is to reduce the computational complexity when the SGA method is applied to the high order systems.

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$H_{\infty}$ 제어기에 의한 능동 자기 베어링 시스템의 강인한 제어계 설계 (Robust Control System Design for an AMB by $H_{\infty}$ Controller)

  • 창유;양주호
    • 동력기계공학회지
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    • 제7권3호
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    • pp.48-53
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    • 2003
  • This paper deals with the control of a horizontally placed flexible rotor levitated by electromagnets in a multi-input/multi-output (MIMO) active magnetic bearing(AMB) system. AMB is a kind of novel high performance bearing which can suspend the rotor by magnetic force. Its contact-free manner between the rotor and stator results in it being able to operate under much higher speed than conventional rolling bearings with relatively low power losses, as well as being environmental-friendly technology for AMB system having no wear and no lubrication requirements. In this MIMO AMB system, the rotor is a complex mechanical system, it not only has rigid body characteristics such as translational and slope motion but also bends as a flexible body. Reduced order nominal model is computed by consideration of the first 3 mode shapes of rotor dynamics. Then, the $H_{\infty}$ control strategy is applied to get robust controller. Such robustness of the control system as the ability of disturbance rejection and modeling error is guaranteed by using $H_{\infty}$ control strategy. Simulation results show the validation of the designed control system and the modeling method to the rotor.

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$H_2$/H$\infty$$\mu$이론을 이용한 유연 빔의 위치제어 (Robust Positioning Control of a Flexible beam using $H_2/H_{\infty}$ and $\mu$-theory)

  • 최연욱
    • 융합신호처리학회논문지
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    • 제2권1호
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    • pp.101-107
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    • 2001
  • 본 연구는 유연한 빔의 위치를 제어하기 위한 강인한 제어기 설계를 위한 하나의 방법으로서 혼합 $H_2/H_{\infty}$$\mu$이론을 이용한 하나의 방법을 제시하고 있다. 먼저 제어기의 설계를 위한 유연한 빔의 수식모델을 얻기 위해 해석적인 방법과 실험을 통한 방법을 적용하였다. 이 결과로서 강인한 제어기의 설계를 위해 필요한 불확실성의 영역에 대한 정확한 정보를 얻을 수 있다. 다음, 혼합 $H_2/H_{\infty}$ 이론을 상기모델에 적용하여 강인한 제어기를 설계하고, 여기에 $\mu$이론을 적용하여 일반적으로 혼합 $H_{\infty}$ 제어기가 가질 수 있는 보수성을 완화시킨다 마지막으로 Simulation과 실험을 통하여 설계된 제어기의 유효성을 보인다.

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Control of Active Suspension System by Using H$\infty$ Theory

  • Nguyen, Tan-Tien;Nguyen, Van-Giap;Kim, Sang-Bong
    • Transactions on Control, Automation and Systems Engineering
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    • 제2권1호
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    • pp.1-6
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    • 2000
  • This paper presents a control of active suspension for quarter car model with two degree of freedom by using H$\infty$ method. Absolute velocity of car body is measured for feedback. The system parameter variations are treated with multiplicative uncertainty model. Simulation results show that the H$\infty$ control provides good trade-off between ride quality, suspension packaging and road holding constraints. The experiment with a front wheel suspension system was done to verify the simulation results.

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Robust $H_{\infty}$ Control of Uncertain Descriptor Systems With Time-Varying Delays

  • Kim, Jong-Hae
    • Transactions on Control, Automation and Systems Engineering
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    • 제4권3호
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    • pp.199-204
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    • 2002
  • This paper is concerned with H$_{\infty}$ controller design methods for descriptor systems with and without time-varying delays in state and control input. The sufficient condition for the existence of an H$_{\infty}$ controller and the controller design method are presented by linear matrix inequality (LMI), singular value decomposition, Schur complements, and changes of variables. Since the obtained sufficient condition can be changed to an LMI form by proper manipulations, all solutions including controller gain can be obtained at the same time. Moreover, it is shown that robust H$_{\infty}$ controller design problem for parameter uncertain descriptor systems with time-varying delays in state and control input can be solvable using the proposed method.

시간지연을 갖는 이산 선형 시불변 연결 시스템의 분산 $H_{\infty}$ 제어 (Decentralized $H_{\infty}$ Control with Performance for Discrete LTI Interconnected Systems with Time Delay)

  • 심덕선;김연재
    • 제어로봇시스템학회논문지
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    • 제6권9호
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    • pp.752-757
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    • 2000
  • This paper considers a decentralized control problem of dicrete LTI systems which have time delay between interconnections. This paper provides sufficient conditions for the decentralized controller to exist as a H$\infty$ disturbance attenuation ${\gamma}$ of a scaled system and shows that the controller can be designed by using the discrete standard $H_{\infty}$ control theory.

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터-빈 발전기의 견실성 제어를 위한$H_\infty$제어 시스템 설계 ($H_\infty$Control Synthesis for Robust Control of a Turbo-Generator)

  • 정대원;김건중
    • 대한전기학회논문지:전력기술부문A
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    • 제48권5호
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    • pp.622-628
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    • 1999
  • This paper presented to design a robust turbo-generator control system using {{{{ { H}_{$\infty$ } }}}} control synthesis for improving small-signal stability. Application study of{{{{ { H}_{$\infty$ } }}}} control synthesis is more appropriate in this system since a turbo-generator system is usually operated under circumstance of unmeasurable modelling uncertainty and external disturbance. The{{{{ { H}_{$\infty$ } }}}} control theory was briefly reviewed for good understanding and the reasonable approach. The design results are simulated for a case study and to check the system performance in comparison with currently operating Lead/Lag filtered PSS performance.

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