• Title/Summary/Keyword: discrete PID controller

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PID Type Iterative Learning Control with Optimal Gains

  • Madady, Ali
    • International Journal of Control, Automation, and Systems
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    • v.6 no.2
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    • pp.194-203
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    • 2008
  • Iterative learning control (ILC) is a simple and effective method for the control of systems that perform the same task repetitively. ILC algorithm uses the repetitiveness of the task to track the desired trajectory. In this paper, we propose a PID (proportional plus integral and derivative) type ILC update law for control discrete-time single input single-output (SISO) linear time-invariant (LTI) systems, performing repetitive tasks. In this approach, the input of controlled system in current cycle is modified by applying the PID strategy on the error achieved between the system output and the desired trajectory in a last previous iteration. The convergence of the presented scheme is analyzed and its convergence condition is obtained in terms of the PID coefficients. An optimal design method is proposed to determine the PID coefficients. It is also shown that under some given conditions, this optimal iterative learning controller can guarantee the monotonic convergence. An illustrative example is given to demonstrate the effectiveness of the proposed technique.

Design of Sophisticated Self-Tuning Fuzzy Logic Controllers Using Genetic Algorithms (유전알고리즘을 이용한 정교한 자기동조 퍼지 제어기의 설계)

  • Hwang, Yon-Won;Kim, Lark-Kyo;Nam, Moon-Hyon
    • Proceedings of the KIEE Conference
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    • 1998.07b
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    • pp.509-511
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    • 1998
  • Design of fuzzy logic controllers encounters difficulties in the selection of optimized membership function and fuzzy rule base, which is traditionally achieved by tedious trial-and-error process. In this paper We proposed a new method to generate fuzzy logic controllers throught genetic algorithm(GA). The controller design space is coded in base-7 strings chromosomes, where each bit gene matches the 7 discrete fuzzy value. The developed approach is subsequently applied to the design of proportional plus integral type fuzzy controller for a do-servo motor control system. It was presented in discrete fuzzy linguistic value, and used a membership function with Gaussian curve. The performance of this control system is demonstrated higher than that of a conventional PID controller and fuzzy logic controller(FLC).

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Antenna Control System Using Step Tracking Algorithm with H$_{\infty}$ Controller

  • Cho, Chang-Ho;Lee, Sang-Hyo;Kwon, Tae-Yong;Lee, Cheol
    • International Journal of Control, Automation, and Systems
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    • v.1 no.1
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    • pp.83-92
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    • 2003
  • The outdoor antenna servo system is subject to has significant torque disturbances from wind pressures and gusts on the antenna structures, as well as bearing and aerodynamic frictions. This control system should provide a sharp directivity in spite of the environmental disturbances and internal uncertainties. Therefore, the implementation of a real-time controller is necessary for the precise generation of the reference signal and robust tracking performance. In this paper, the discrete-time controller for the quick tracking of a target communication satellite is designed by applying the sampled-data $H_{\infty}$ control theory along with the reference signal generated by an improved conventional step-tracking algorithm. The sampled-data $H_{\infty}$controller demonstrates superior robustness for the longer sampling period when compared with a simple PID controller.

A Fuzzy-Logic Controller for an Electrically Driven Steering System for a Motorcar

  • Lee, Sang-Heon;Kim, Il-Soo;Jayantha katupitiya
    • Journal of Mechanical Science and Technology
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    • v.16 no.8
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    • pp.1039-1052
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    • 2002
  • This paper presents an application where a Fuzzy-Logic Controller (FLC) is used at a supervisory level to implement mutual coordination of the steering of the two front wheels of a motorcar. The two front wheels are steered by two independent discrete time state feedback controllers with a view to optimize the steering slip angles. The functions of the two controllers are tied together by way of a FLC. Because of the presence of unmodelled dynamics and disturbances acting on the two sides, it is difficult to achieve the desired performance using conventional control systems. This is the primary reason that FLC is emploged to solve the problem. The results show that the implemented system achieved desired coupling between the two independent systems and thereby reduces the difference between the two steered angles.

Continuous-Time Controller Design using Identification of Feedback System in Frequency Domain (주파수역 피드백시스템인식을 이용한 연속시간 제어기 설계)

  • Yang, Ho-Suk;Jung, Yu-Chul;Lee, Gun-Bok
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.664-669
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    • 2001
  • Continuous-time controller design is proposed using feedback system identification in frequency domain. System stability imposed by a new controller is checked in the function of a conventional closed-loop system, instead of a poorly modeled plant due to non-linearity and disturbance as well as unstable components, etc. The stability of the system is evaluated in view of Nyquist stability. All the equations are formulated in the framework of the discrete-time system. Simulation results are shown on the plant with input saturation and DC disturbance.

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An RTP Temperature Control System Based on LQG Design (LQG 설계에 의한 RTP 온도제어 시스템)

  • Song, Tae-Seung;Yoo, Jun
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.6
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    • pp.500-505
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    • 2000
  • This paper deals with wafer temperature uniformity control essential in rapid thermal processing (RTP). One of the important control objectives of RTP is to keep the temperature over the wafer surface as uniformly as possible. For this, a discrete time state equation around the operating point is first identified by using the subspace fitting method, and a multivariable LQG(Linear Quadratic Gaussian) controller is designed based on the identified model. Simulation and experimental results show improvement in temperature uniformity over the conventional PID method.

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Optimal control of impact machines using neural networks

  • Sasaki, Motofumi;Nakagawa, Makoto;Koizumi, Kunio
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.91-94
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    • 1995
  • A newly developed discrete-time control design method for impact machines is proposed. It is composed of identification and control using neural networks, where the optimal controller with saturationn and no use of velocity measurements is obtained. By computer simulation, the proposed method is demonstrated to be effective: as the training progresses, the cost function becomes smaller, the proposed control is superior to PID control tuned with Ziegler-Nichols (Z-N) parameters; robust performance with respect to uncertainty, disturbances and working time is so good.

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A Study on a Digital Amplifier.Controller for Proportional Control Valve (비례제어밸브용 디지털 앰프.컨트롤러에 대한 연구)

  • Lee, J.C.;Koh, J.U.;Kwon, T.H.;Shin, H.B.
    • Transactions of The Korea Fluid Power Systems Society
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    • v.8 no.1
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    • pp.19-25
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    • 2011
  • This study presents the design of digital amplifier.controller for a proportional control valve and the development of PID discrete control scheme by using RCP(Rapid Controller Prototyping) system. RCP system is the device to embed the control code developed in PC into the microcontroller on-site. Ramp input test using the digital amplifier.controller developed in this study was carried out for the proportional control valve of domestic production and Bosch Rexroth respectively. The instability problem occurred around maximum displacement of localized valve spool at ramp input test was solved by supplementing offset current to the duty ratio of PWM(Pulse Width Modulation) driving signal to the solenoid. The comparison of test results between localized proportional control valve and Bosch Rexroth's product shows that the characteristics obtained by ramp input test and static flow gains are alike each other. Two valves are about the same in dead bands and hysteresis characteristics.

A Speed Control Scheme with The Torque Compensator based on the Activation Function for PMSM (PMSM에 대한 활성화 함수를 가지는 토크 보상기의 속도제어)

  • Kim, Hong Min;Lim, Geun Min;Ahn, Jin Woo;Lee, Dong Hee
    • Proceedings of the KIPE Conference
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    • 2011.11a
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    • pp.315-316
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    • 2011
  • This paper presents speed control scheme of the PMSM which has torque compensator to reduce the speed error and ripple. The proposed speed controller is based on the conventional PI control scheme. But the additional torque compensator which is different to the conventional differential controller produces a compensation torque to suppress speed ripple. In order to determine the proper compensation, the activation function which has discrete value is used in the proposed control scheme. With the proposed activation function, the compensation torque acts to suppress the speed error increasing. The proposed speed control scheme is verified by the computer simulation and experiments of 400[W] PMSM. In the simulation and experiments, the proposed control scheme has better control performance compare than the conventional PI and PID control schemes.

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Design of Self-Tuning Fuzzy Logic Controllers using Genetic Algorithms (유전알고리즘을 이용한 자기동조 퍼지 제어기의 설계)

  • Suh, Jae-Kun;Kim, Tae-Eun;Kwon, Hyuk-Jin;Kim, Lark-Kyo;Nam, Moon-Hyon
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.1374-1376
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    • 1996
  • In this paper We proposed a new method to generate fuzzy logic controllers through genetic algorithm(GA). In designing of fuzzy logic controllers encounters difficulties in the selection of optimized member-ship functions, gains and rule base, which is conventionally achieved by a tedious trial-and-error process. This paper develops genetic algorithms for automatic design of high performance fuzzy logic controllers which can overcome nonlinearities in many engineering control applications. The rule-base is coded in base-7 strings by generated from random function. Which can be presented in discrete fuzzy linguistic value, and using membership function with Gaussian curve. To verify the validity of this fuzzy logic controller it is compared with conventional fuzzy logic controller(FLC) and PID controller.

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