• Title/Summary/Keyword: $H_{\infty}$ Servo Control

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A study on the development of $H_{\infty}$ 2-DOF controller for servo motors (서보모터 제어를 위한 $H_{\infty}$ 2-자유도 제어기 개발에 관한 연구)

  • Park, Sung-Chun;Park, Se-Hwa;Kim, Hee-Jun;Choi, B.W.
    • Proceedings of the KIEE Conference
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    • 1999.07g
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    • pp.3073-3076
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    • 1999
  • In this paper, $H_{\infty}$ two-degree-of freedom(2-DOF) model following control method is applied for the control of a brushless servo motor to achieve high robust performance. The proposed robust control algorithm designed to meet the robust stability and performances present that the robust control method is superior to conventional control methods in controlling the speed and position of a servo motor. The designed controller is implemented as an outer loop controller to a factory designed motor-servopack system. It is illustrated by simulations that the proposed method is effective to control servo systems.

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Quasi-LQG/$H_{infty}$/LTR Control for a Nonlinear Servo System with Coulomb Friction and Dead-zone

  • Han, Seong-Ik
    • International Journal of Precision Engineering and Manufacturing
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    • v.1 no.2
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    • pp.24-34
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    • 2000
  • In this paper we propose a controller design method, called Quasi-LQG/$H_{\infty}$/LTR for nonlinear servo systems with hard nonlinearities such as Coulomb friction, dead-zone. Introducing the RIDF method to model Coulomb friction and dead-zone, the statistically linearized system is built. Then, we consider $H_{\infty}$ performance constraint for the optimization of statistically linearized systems, by replacing a covariance Lyapunov equation into a modified Riccati equation of which solution leads to an upper bound of the LQG performance. As a result, the nonlinear correction term is included in coupled Riccati equation, which is generally very difficult to thave a numerical solution. To solve this problem, we use the modified loop shaping technique and show some analytic proofs on LTR condition. Finally, the Quasi-LQG/$H_{\infty}$/LTR controller for a nonlinear system is synthesized by inverse random input describing function techniques (ITIDF). It is shown that the proposed design method has a better performance robustness to the hard nonlinearity than LQG/$H_{\infty}$/LTR method via simulations and experiments for the timing-belt driving servo system that contains the Coulomb friction and dead-zone.

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A study on the improvement of cutting precision of CNC system using $H_{\infty}$ 2-degree-of-freedom controller ($H_{\infty}$ 2 자유도 제어기를 이용한 CNC 시스템의 가공 정밀도 향상에 관한 연구)

  • 최성규;최병욱;현용탁;강성귀;권욱현
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1040-1043
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    • 1996
  • The accuracy of the servo control in CNC system has a great influence on the duality of machine product. Tracking performance of the servo control is deteriorated mainly by the time delay of the servo system and the inertia of the work table or bed. Contouring errors occur in every interpolation steps by the effect of the tracking performance. In this paper, $H_{\infty}$ two-degree-of-freedom(TDF) controller is designed for improvement to improve the tracking performance. The designed controller is applied 3-axis machining center model and the cutting accuracy is simulated in case of corner cutting, circular and involute interpolation. Simulation results show that $H_{\infty}$ TDF controller designed in this paper has a good effect to improve tracking performance in CNC system.

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$H_{\infty}$ Position Controller Design for Servo Systems Containing Resonance Effects and Coulomb Friction (공진효과 및 클롱마찰이 있는 서보 시스템의 $H_{\infty}$ 위치 제어기 설계)

  • Hong, Kook-Nam;Lim, Dong-Jin
    • Proceedings of the KIEE Conference
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    • 1995.07b
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    • pp.720-725
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    • 1995
  • The most important problems which should be considered in designing servo controllers are resonance effects and nonlinear friction. These problems exist in almost all the servo systems, especially for the robotic maniplators and numerical control systems and cause difficulties in designing controllers. In this paper, controller design procedure which employs $H_{\infty}$ control theory is proposed for the servo systems with these problems. Sometimes, for these systems, there is a possibility of limit cycles due to the interation between the nonlinear friction and integrator. To check the possibility of limit cycles, describing fuction method is used.

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Position Control of Electro-Hydraulic Servo System Using $H_\infty$ ($H_\infty$제어에 의한 전기${\cdot}$유압 서보계의 위치제어)

  • Park K. S.;Kim D. T.
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2005.05a
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    • pp.103-108
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    • 2005
  • In this paper, a controller design procedure for an electro-hydraulic positioning systems have developed using $H_\infty$ control theory. The generalized models and weighting functions for a multiplicative uncertainty modelling error is presented along with $H_\infty$ controller designs in order to investigate the robust stability and performance. The multiplicative uncertainty case is specifically suited for the design of an electro-hydraulic positioning control systems using $H_\infty$ control.

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Autopilot Design of an Autonomous Underwater Vehicle Using Robust Control

  • Jung, Keum-Young;Kim, In-Soo;Yang, Seung-Yun;Lee, Man-Hyung
    • Transactions on Control, Automation and Systems Engineering
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    • v.4 no.4
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    • pp.264-269
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    • 2002
  • In this paper, Η$_{\infty}$ depth and course controller of an AUV(Autonomous Underwater Vehicle) using Η$_{\infty}$ servo control is proposed. The Η$_{\infty}$ servo problem is formulated to design the controllers satisfying a robust tracking property with modeling errors and disturbances. The solution of the Η$_{\infty}$ servo problem is as fellows: first, this problem is modified as an Η$_{\infty}$ control problem for the generalized plant that includes a reference input mode, and then a sub-optimal solution that satisfies a given performance criteria is calculated by LMI(Linear Matrix Inequality) approach. The Η$_{\infty}$ depth and course controller are designed to satisfy with the robust stability about the modeling error generated from the perturbation of the hydrodynamic coefficients and the robust tracking property under disturbances(wave force, wave moment, tide). The performances of the designed controllers are evaluated with computer simulations, and finally these simulation results show the usefulness and application of the proposed Η$_{\infty}$ depth and course control system.

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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Controller Design of BLDC Motor Fin Position Servo System by Employing H-infinity Loop Shaping Method (H-infinity Loop Shaping 방법을 이용한 BLDC 전동기 핀 위치제어시스템 제어기 설계)

  • Zhu, He-Lin;Mok, Hyung-Soo;Lee, Hyeong-Geun;Han, Soo-Hee;Seo, Hyeon-Uk
    • The Transactions of the Korean Institute of Power Electronics
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    • v.24 no.1
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    • pp.49-55
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    • 2019
  • This study proposes a robust control of a fin position servo system using the H-infinity loop-shaping method. The fin position control system has a proportional (P) position controller and a proportional-integral (PI) controller. In this work, the position control loop requires a wide bandwidth. No current control loop exists due to the compact design of the system. Hence, the controller parameters are difficult to determine using the traditional cascade design method. The $H_{\infty}$ controller design method is used to design the controller's gain to achieve good performance and robustness. First, the transfer function of the system, which can be divided into tunable and fixed parts, is derived. The tunable part includes the position P controller and speed PI controller. The fixed part includes the rest of the system. Second, the optimized controller parameters are calculated using Matlab $H_{\infty}$ controller design program. Finally, the system with optimized controller is tested by simulation and experiment. The control performance is satisfactory, and the $H_{\infty}$ controller design method is proven to be valid.

Implementation of the robust speed control system for DC servo motor using TDF compensator method (2자유도 보상법에 의한 직류서보전동기의 강인한 속도제어시스템 구현)

  • Kim, Dong-Wan
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.52 no.2
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    • pp.74-80
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    • 2003
  • In this paper, a robust two-degree-of-freedom(TDF) the speed control system using $H_{\infty}$ optimization method and real genetic algorithm is proposed for the robust stability and the robust performance in dc servo motor system. This control system composed of feedback and feedforward controller. The feedback(FB) controller with $H_{\infty}$ optimization method is designed for real genetic algorithm that is model matching problem using mixed sensitivity function. The feedforward(FF) controller with $H_{\infty}$optimization method is minimized the error between transfer function of the optimal model and the overall transfer function. The proposed robust two-degree-of-freedom speed control system is simulated to the dc servo motor. By the simulation, feedback controller can obtain the robust stability property and feedforward controller can obtain the robust performance property under modelling error. The performance of the dc servo motor is analyzed by the experiment setting. The validity of the proposed method is verified through being compared with pid(proportional integrated differential)control system design method for the dc servo motor.

[ $H_{\infty}$ ] Optimal Control for Single-Rod Hydraulic Servo-System with DSP (DSP를 이용한 편로드 유압서보시스템의 $H_{\infty}$ 최적제어)

  • Jung, Gyu-Hong
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.515-520
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    • 2001
  • Due to the high power to weight ratio and fast response under heavy load, the hydraulic systems are still applied to the development of many industrial facilities such as heavy duty construction vehicles, aerospace/military weapon actuating systems and motion simulators. Unlike the other actuators, single-rod hydraulic cylinder exhibits a lot different dynamic characteristics between the extending and retracting stroke because of the difference in pressure acting areas. In this research, in order to overcome this nonlinear feature, $H_{\infty}$ optimal controller was designed and implemented with DSP board that was specifically developed for the experiment. From the experimental result, we could confirm that the overall performance of single-rod hydraulic servo system is similar with the results as we expected in the design stage.

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