• Title/Summary/Keyword: H$_\infty$controller

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Comparison of Control Performance in Electro.hydraulic Servo Systems (전기.유압 서보 시스템의 제어성능 비교)

  • Kim, D.T.;Park, K.S.
    • Transactions of The Korea Fluid Power Systems Society
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    • v.3 no.2
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    • pp.14-20
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    • 2006
  • A controller design procedure for an electro-hydraulic positioning systems has been developed using $H{\infty}$ control. The generalized plant models and weighting function for multiplicative uncertainty modelling error was presented along with $H{\infty}$ controller designs in order to investigate the robust stability and performance. Both disturbance rejection and command tracking performances were improved with the $H{\infty}$ controller, and the better uniformity of time response is achieved across wide range of operating conditions than the PID, LQR and LQG control scheme. The multiplicative uncertainty case was specifically suited for the design of an electro-hydraulic positioning control systems using $H{\infty}$ control.

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Multivariable $H_{\infty}$ disturbance rejection control for tandem cold mills (연속 냉간 압연기의 다변수 $H_{\infty}$ 외란제거 제어)

  • 김승수;김종식
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.391-394
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    • 1997
  • A H$_{\infty}$ control techniques with roll eccentricity filter is proposed to alleviate the effect of entry thickness variation and roll eccentricity occurred in rolling stand itself of tandem cold mills. A robust controller to the disturbances is designed using H$_{\infty}$ control techniques, which can reflect the input direction of disturbances and knowledge of disturbance spectrum in the frequency domain. And, non-standard H$_{\infty}$ control problem caused by selection of weight function having poles on j.omega. axis is discussed. The evaluation for the resultant controller composed by H$_{\infty}$ synthesis is done through computer simulations. The effectiveness of the proposed method is compared to those of the conventional LQ synthesis method and a feedforward controller against roll eccentricity, which was already studied.ied.

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Design of $H_{\infty}$ Observer-Based Sliding Mode Controller for Power System Stabilizer : Part II (전력계통안정기를 위한 $H_{\infty}$ 관측기에 기준한 슬라이딩 모드 제어기 설계 : Part II)

  • Lee, Sang-Seung;Park, Jong-Keun
    • Proceedings of the KIEE Conference
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    • 1997.07c
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    • pp.1159-1161
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    • 1997
  • This paper presents a power system stabilizer(PSS) using the $H_{\infty}$ observer-based sliding mode controller($H_{\infty}$ observer-based SMC) for unmeasurable state variables. The effectiveness of the proposed $H_{\infty}$ observer-based SMPSS for unmeasurable state variables is shown by the simulation result.

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Design of Two-Degree-of-Freedom PI Controllers using the Mixed $H_2/H_{\infty}$ Methods ($H_2 / H_{\infty}$ 혼합 기법을 이용한 2자유도 PI 제어기의 설계)

  • 조용석;박기헌
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.6
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    • pp.12-22
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    • 1996
  • A numerous designs of PI controllers have been suggested to solve out trade-off between tracing and regulating problems. We constructed the PI controller system with two-degree-of-freedom that is more analytic and a better approach to a practical one. In the conventional H$_{2}$ design of optimal PI controllers, the cost function includes only the plant output terms due to the divergent problems. Since the platn input temr is not considered in PI controller design, occasionally, the plant input thends to be either very large or saturated. To solve the prior mentioned problems, we employed a mixed $H_2/H_{\infty}$ method that combines the H$_{2}$ design method to decide optimal parameters of PI controller and the $H_2/H_{\infty}$ design method to minimize the maximum amplitude of plant input. The calculation time of the H$_{infty}$ norm was considerably reduced by the simple scalar function obtained by the wiener-hopf factorization of non-scalar functions.

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Reduced-order $H_{\infty}$ controller Design of Drum-type boiler system (드럼형 보일러 시스템의 저차 $H_{\infty}$ 제어기 설계)

  • Choi, S.C.;Jo, C.H.;Seo, Jin.H.
    • Proceedings of the KIEE Conference
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    • 1994.11a
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    • pp.366-369
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    • 1994
  • In this paper, reduced-order $H_{\infty}$ robust controller is designed for the drum-type boiler system. From the known nonlinear dynamic model, a linearized multivariable model is obtained. To reduce order of robust controller, observer-based proper $H_{\infty}$ compensator is designed. The designed controller has robust property against the influence of sensor noise, system parameter variation and model uncertainty. A good Performance of the designed controller is shown by simulation.

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Design of the $H_2$ Controllers with $H_{\infty}$ Constraints Using Genetic Algorithms (유전 알고리즘을 이용한 $H_{\infty}$ 제한 조건을 갖는 $H_2$ 제어기 설계)

  • Lee, Jong-Sung;Kang, Ki-Won;Park, Ki-Heon
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.599-602
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    • 1999
  • In this paper, the genetic algorithm is used to design a mixed $H_2/H{\infty}$ controller. Two kinds of controller forms, Youla's form and the general form are considered to design a mixed $H_2/H{\infty}$ controller Efficient searching methods are sought to minimize the given $H_2$ cost function under the $H{\infty}$ constraint. It is verified by an example that the developed algorithm can provide stable results in the region where unstable results are shown by the conventional gradient method.

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A study on the H_$\infty$ robust controller of induction motors (유도전동기의 H_$\infty$강인제어에 관한 연구)

  • 김민찬;박승규;진승오
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1448-1451
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    • 1997
  • In this paper, a speed control of nin-servo induction motor is considered. In this case, it is difficult to satisfy precise control performance. SO H.inf. robust controller is designed for this problem by usign polynomial approach and Youla parameterization.

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Robust PID Controller Design for Speed Control of BLDC Motors (BLDC 모터 속도제어를 위한 견실 PID 제어기 설계)

  • 양승윤;김인수;전완수
    • Journal of the Korea Institute of Military Science and Technology
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    • v.5 no.1
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    • pp.75-82
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    • 2002
  • In this paper, the robust PID(Proportional-Integral-Derivative) controller was designed for speed control of BLDC motors using the frequency region model matching method. It was designed the robust PID controller satisfying disturbance attenuation and robust tracking performance using an H$\infty$ control method. The robust PID controller gains with the performances of the designed H$\infty$ controller are determined using the model matching method at frequency domain. Consequently, simulation results show that the proposed PID speed controller satisfies load torque disturbance attenuation and robust tracking performance, and this study has usefulness and applicability for the speed control system design of BLDC motors.

A mixed $H_2/ H_\infty$ digital control of Inverted pendulum system (도립진자 시스템의 혼합$H_2/ H_\infty$ 디지털 제어)

  • 박종우;곽칠성
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.4 no.5
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    • pp.1111-1116
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    • 2000
  • The mixed $H_2/ H_\infty$ control method is one of positive approaches to design a controller having both the$H_2$-performance and the $H_\infty$-robust stability. In this paper, Firstly, The tracking Performance to be designed has been represented as $H_2$-norms for the plants with uncertainties. Secondly, $H_\infty$-norm have been set up in order to ensure the robust stabilities. The mixed digital controllers have been designed for an inverted system. The mixed $H_2/ H_\infty$digital controller for the inverted pendulum system was intended to stabilize the unstability of the plant together with the good tracking Performance.

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Application to Speed Control of Brushless DC Motor Using Mixed $H_2/H_{\infty}$ PID Controller with Genetic Algorithm

  • Duy, Vo Hoang;Hung, Nguyen;Jeong, Sang-Kwun;Kim, Hak-Kyeong;Kim, Sang-Bong
    • Journal of Ocean Engineering and Technology
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    • v.22 no.4
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    • pp.14-19
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    • 2008
  • This paper proposes a mixed $H_2/H_{\infty}$ optimal PID controller with a genetic algorithm based on the dynamic model of a brushless direct current (BLDC) motor and applies it to speed control. In the dynamic model of the BLDC motor with perturbation, the proposed controller guarantees arobust and optimal tracking performance to the desired speed of the BLDC motor. A genetic algorithm was used to obtain parameters for the PID controller that satisfy the mixed $H_2/H_{\infty}$ constraint. To implement the proposed controller, a control system based on PIC18F4431 was developed. Numerical and experimental results are shown to prove that the performance of the proposed controller was better than that of the optimal PID controller.