• Title/Summary/Keyword: two degree of freedom controller

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Kinematics and Robust PID Trajectory Tracking Control of Parallel Motion Simulator (병렬형 모션 시뮬레이터의 기구학적 해석과 강인 궤적추종 PID 제어기의 설계)

  • Hong, Seong-Il
    • Journal of the Korea Institute of Military Science and Technology
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    • v.10 no.3
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    • pp.161-172
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    • 2007
  • This article suggests an inverse kinematics analysis of a two degree of freedom spatial parallel motion simulator and design methodology of the robust PID controller. The parallel motion simulator consists of a fixed base and a moving frame connected by two serial chains, with each serial chain containing one revolute joint and two passive spherical joint. First, an inverse kinematics problems are solved in order to find the joint variable necessary to bring the end effector to track the desired trajectory. Second, an inverse optimal PID controller is proposed to track trajectories in the face of uncertainty. And the $H_{\infty}$ optimality and robust stability of the closed-loop system is acquired through the PID controller. Finally numerical results show the effectiveness of the PID controller that is designed by square/linear tuning laws.

A speed controller design for low speed marine diesel engine by the $\mu$-synthesis ($\mu$-설계법에 의한 저속 박용디젤기관의 속도제어기 설계)

  • 정병건;양주호;김창화
    • Journal of Advanced Marine Engineering and Technology
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    • v.19 no.1
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    • pp.60-70
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    • 1995
  • In the field of marine transportation the energy saving is one of the most important factors for profit. In order to reduce the fuel oil consumption the ship's propulsion efficiency must be increased as much as possible. The propulsion efficiency depends upon a combination of an engine and a propeller. The propeller has better efficiency as lower rotational speed. This situation led the engine manufacturers to design the engine that has lower speed, longer stroke and a small number of cylinders. Consequently the variation of rotational torque became larger than before because of the longer delay-time in the fuel oil injection process and an increased output per cylinder. As this new trends the conventional mechanical-hydrualic governors for engine speed control have been replaced by digital speed controllers which adopted the PID control or the optimal control algorithm. But these control algorithms have not enough robustness to suppress the variation of the delay-time and the parameter pertubation. In this paper we consider the delay-time and the perturbation of engine parameters as the modeling uncetainties. Next we design the controller which has zero offset in steady state engine speed, based on the two-degree-of-freedom control theory and $\mu$-synthesis. Thd validity of the controller is investigated through the response simulation. We use a personal computer and an analog computer as the digital controller and the engine (plant) part respectively. And, we certify that the designed controller maintains its performance even though the engine parameters may vary.

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A Controller Design for Semi-active Suspension System Using Wavelet Treasform and Evolution Strategy (웨이브릿 변환과 진화전략에 의한 반능동 현가장치의 제어기 설계)

  • Kim, Dae-Jun;Kim, Han-Soo;Jeon, Hyang-Sig;Choi, Young-Kiu;Kim, Sung-Shin
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.50 no.3
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    • pp.120-129
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    • 2001
  • A two-degree-of-freedom quarter-car model is used as the basis for LQ and the proposed controller design for a semi-active suspension. The LQ controller results in the best rms performance trade-offs(as defined by performance index) between ride, handling and packaging requirements. In LQ controller, however, the conflict between road holding and ride comfort remains. The adaptive semi-active suspension control based on the road frequency are introduced in this paper. With this method, the trade-off between road holding and ride comfort can be relaxed. The road frequency is estimated by wavelet transform if rattle space signal. The simulation results show that the proposed controller is superior to the conventional LQ controller.

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A Two-Degree-of-Freedom-Controller for DC Motors Using Inverse Dynamics and the Fuzzy Technique (역동력학과 퍼지기법을 이용한 DC 모터용 2자유도 제어기)

  • Kim, Byong-Man;Kim, Jong-Hwa;Yu, Yung-Ho;Jin, Gang-Gyoo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.1
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    • pp.33-38
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    • 2002
  • In this paper, a Two-Degree-of-Freedom-Controller(TDFC) for DC motors based on inverse dynamics and the fuzzy technique is presented. The proposed controller includes the inverse dynamic model of a DC motor system, a prefilter and a fuzzy compensator. The model of the system is characterized by a nonlinear equation with coulomb friction. The prefilter eliminates high frequency effects occurring when the inverse dynamic model is implemented. The fuzzy compensator is designed for tracking the change of the reference input and simultaneously regulating the error between the reference input and the system output which can be caused by disturbances. The optimal parameters of both the model and the compensator are identified by a real-coded genetic algorithm. An experimental work on a DC motor system is carried out to verify the performance of the proposed controller.

The Development of a Balancing Control System for the Anti-Rolling Rail of a Delivery Ship (용달선의 횡 동요를 억제하기 위한 곡선레일의 수평유지장치 개발)

  • Byun, J.H.;Yeo, D.J.
    • Journal of Power System Engineering
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    • v.8 no.4
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    • pp.17-23
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    • 2004
  • A delivery ship is used to handle the cargo with the crane to/from the ships. The ship is inclined in the direction of a cargo which is hung on a crane. In this case, a arc shaped rail should be in the equilibrium state to get good anti rolling performance. In this study, a device and control algorithm are developed to take accurate and quick equilibrium of the rail. The device is composed of a hinged immovable support and two screw jacks. And the control algorithm demands two controllers. One controller is designed such that the screw jack 1 and 2 follow the position reference signal generated by a tilt sensor. The other controller of two degree of freedom is designed to remove the synchronous error occurred between jack 1 and jack 2. The simulation results show that the desirable control performance is achieved.

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$H_{\infty}$ Control of Two-Mass System with Resonance Ratio Control (공진비제어를 갖는 2관성계의 $H_{\infty}$ 제어)

  • Kim, Jin-Soo;Kim, Seoung-Beom;Kim, Hyun-Jung;Kim, Young-Seok
    • Proceedings of the KIEE Conference
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    • 1996.07a
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    • pp.504-506
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    • 1996
  • In the industrial motor drive systems, a shaft torsional vibration is often generated when a motor and a load are connected with a flexible shaft. This paper treats the vibration suppression control of this system. The resonance ratio control is proposed for suppressing the torsional vibration. In this paper, first, the optimal resonance ratio is sellected and the controller to the resonance ratio controlled outward plant is designed based on $H_{\infty}$ control theory. Secondly, the two-degree-of-freedom controller, which includes the above $H_{\infty}$ controller, is designed in order to improve the tracking characteristics for the commanded speed. The control performances are examined by the computer simulations and it is clarified that the proposed speed control system is useful for two-mass system.

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Two-Degree-of-Freedom Speed Control of Two-Mass System using Optimal Pole Assignment Method (최적 극배치 기법을 이용한 2관성 공진계의 2자유도 속도제어)

  • Jeon, Don-Su;Kim, Dong-Hwa
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.1
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    • pp.18-25
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    • 2000
  • In the two-mass servo system driving a load through a flexible shaft, a shaft torsional vibration is often generated. PI controller has been generally used is speed control of such system because of the simplicity of structure and related theory. This paper presents the inertia ratio of the PI servo control system which can be designed by using optimal pole assignment method is fixed. Therefore, it's difficult to obtain the desired control characteristics for different systems only by PI control algorithm. To solve this problems the two-mass speed control system with PID controller is designed by using pole assignment method and an optimum PID parameters are derived by evaluating ITAE(Integral of time multiplied by the absolute error) performance index. But this design method has some problems due to a trade-off between the fast command following property and the attenuation of disturbances and vibrations. In this paper, 2-DOF PID control method which satisfies the command following property, the reduction of overshoot and the property of disturbance rejection at the same time is proposed. This is a practical speed controller using the desired value filter and the feedforward gain. From several simulations, it's clarified that the proposed 2-DOF PID controller is useful for the two-mass system, in comparison with the conventional PID controller.

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Implementation and tuning of adaptive generalized predictive PID for process control (공정 제어를 위한 적응 GP-PID의 구현과 동조)

  • Lee, Chang-Gu;Seol, O-Nam;Kim, Seong-Jung
    • Journal of Institute of Control, Robotics and Systems
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    • v.3 no.2
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    • pp.197-203
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    • 1997
  • In this paper, we present a GP-PID(Generalized Predictive PID) controller which has the same structure as a generalized predictive control with steady-state weighting. The proposed controller can perform better than the conventional PID controller because it includes intrinsic delay-time compensator. The PID tuning parameters and delay-time compensator are calculated by equating the two degree of freedom PID to a linear form of GPC. The proposed controller is combined with a supervisor for safe start and self-tuning. GP-PID controller has been tested for various numerical models and an experimental stirred tank heater. As a result, it was observed that the proposed controller shows a satisfactory performance for variable delay as well as stochastic disturbance.

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2-axis tracking control of servo system with two-degree-of-freedom (2자유도를 갖는 서보 시스템의 2축 추적제어)

  • 이제희;박호준;허욱열
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.844-847
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    • 1996
  • This paper describes the servo position control for the 2-axis positioning table the servo controller consists of conventional feedback loops, disturbance observer. To reduce the contour error, which occurs in the multi-dimensions machines, cross-coupled controller(CCC) is suggested. A weak point of the CCC is their low effectiveness in dealing with arbitrary nonlinear contour such as circles and parabolas. This paper introduces a new nonlinear CCC that is based on control gains that vary during the contour movement The gains of CCC and adjusted in real time according to the shape of nonlinear contour. The feedback controller based on the disturbance observer compensated for external disturbance, plant uncertainty and bad effectiveness by friction model. Suggested servo controller which improve the contouring accuracy, apply to the 2-axis system. Simulation results on 2-axis table verify the effectiveness of the proposed servo controller.

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2 DOF robust performance controller design for linear system with time delay and parameter uncertainty (시간지연 및 파라미터 불확실성을 갖는 선형 시스템의 2 자유도 견실성능 제어기 설계)

  • 이갑래;정은태;최봉렬;박홍배
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.1
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    • pp.43-53
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    • 1997
  • A robust stability condition for linear systems with time delay in all variables and parameter uncertainties in all system matrices is derived. Robust performance condition that accounts for robust model-matching of closed loop system and disturbance rejection is also derived. Using the robust performance condition, robust $H^{\infty}$ controller and .mu.(sgructured singular value) controller with two-degree-of-freedom(2DOF) are designed. The controller structure is considered for $H^{\infty}$ controller, while uncertainity structure is considered for .mu. controller. Using the proposed method, $H^{\infty}$ and .mu. controllers for underwater vehicle with time delay and parameter variations are designed. Simulations of a design example with hydrodynamic parameter variations and disturbance are presented to demonstrate the achievement of good robust performance.ce.

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