• Title/Summary/Keyword: Ziegler-Nichols method

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Stability Limit Properties of a Control System on the Space of Adjustable Parameters (조정파라미터 공간에서의 제어계 안정한계 특성)

  • 최순만
    • Journal of Advanced Marine Engineering and Technology
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    • v.25 no.2
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    • pp.351-356
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    • 2001
  • In this paper, a general one-loop control system was assumed as a model system which has a time-delay element connected with a first order-lag element in series. After the corresponding parameter set causing stability limit condition for the model system was obtained by mathematical procedures, their loci on the parameter space was taken according of frequency change,. The parameter set loci of stability limit showed a specific pattern, and particularly the curves on the Kp-Ti parameter space were able to generalized in the form of an exponential formula. These properties were also compared with the results taken from experimental procedures by Nyquist response method and Ziegler & Nichols method on the time domain, and both results were confirmed to be nearly same.

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Design of an Adaptive Neuro-Fuzzy Inference Precompensator for Load Frequency Control of Two-Area Power Systems (2지역 전력계통의 부하주파수 제어를 위한 적응 뉴로 퍼지추론 보상기 설계)

  • 정형환;정문규;한길만
    • Journal of Advanced Marine Engineering and Technology
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    • v.24 no.2
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    • pp.72-81
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    • 2000
  • In this paper, we design an adaptive neuro-fuzzy inference system(ANFIS) precompensator for load frequency control of 2-area power systems. While proportional integral derivative (PID) controllers are used in power systems, they may have some problems because of high nonlinearities of the power systems. So, a neuro-fuzzy-based precompensation scheme is incorporated with a convectional PID controller to obtain robustness to the nonlinearities. The proposed precompensation technique can be easily implemented by adding a precompensator to an existing PID controller. The applied neruo-fuzzy inference system precompensator uses a hybrid learning algorithm. This algorithm is to use both a gradient descent method to optimize the premise parameters and a least squares method to solve for the consequent parameters. Simulation results show that the proposed control technique is superior to a conventional Ziegler-Nichols PID controller in dynamic responses about load disturbances.

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An Investigation into the PID Control for the Electro- Hydraulic Servo System of Skin Pass Mill

  • Lee, Jae-Cheon;Kim, Seong-Jin
    • International Journal of Precision Engineering and Manufacturing
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    • v.2 no.4
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    • pp.47-53
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    • 2001
  • This study is to investigate the problem of the SPM(Skin Pass Mil7) system which is a finishing treatment of steel sheet. and to develop a PID control scheme to minimize process instability. An electrohydraulic servo system with conventional proportional controller used to regulate the force on the strip works inadequately to yield very undesirable transient responses at the moments welding parts of the strip conte into and pass through the rolls. Both linearized and nonlinear models of a typical SPM system ware simulated first by using Simulink. Then Ziegler-Nichols ultimate cycling method was used for an initial reference guide to tune PID gains, and further fine tuning was performed to get desirable response. The test result in the plant show that proposed PID control scheme successfully improves the process instability in a SPM system.

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Design of Optimal pm Controller Using Genetic Algorithm for Load Frequency Control of Power System (전력계통의 부하주파수 제어를 위한 유전 알고리즘을 사용한 최적 PID 제어기 설계)

  • Lee, J.P.;Wang, Y.P.;Kim, S.H.;Hur, D.R.;Chong, H.H.
    • Proceedings of the KIEE Conference
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    • 1997.11a
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    • pp.257-260
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    • 1997
  • This paper designs the optimal PID controller for load frequency control on 2-area power system. Genetic algorithm is utilized to optimize parameters of PID controller which is applied to power system. Using two-point crossover, uniform crossover and one-point crossover, Search performance of genetic algorithm with each crossover method is considered. In case of load variation in 1-area, the dynamic characteristic of power system is considered. The simulation results show that the proposed PID controller is better control performance than PID controller using Ziegler-Nichols method.

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STABILITY LIMIT PROPERTIES OF CONTROL SYSTEMS ON THE SPACE OF ADJUSTING PARAMETERS (조정파라미터 공간에서의 제어계 안정한계 특성)

  • 최순만
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2000.11a
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    • pp.135-142
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    • 2000
  • The adjusting parameter set which enable control systems to locate on stability limit can be derived from theoretical or trial methods for an existing real system. The data from the results are much available to keep a system in the Proper stability condition even to site engineers who are inexperienced in the control system. In this paper, a general one loop control system was adopted for a model system the process of which was assumed to consist of a time-delay element and a first order-lag element in series. After obtaining the corresponding parameter set for the model system by mathematical procedures, their loci on the parameter space was taken according to frequency change. The parameter set loci of stability limit showed unique pattern, and particularity , the curves on the Kg-Ti parameter space were able to be generalized in the form of, an unique exponential formula. These properties were also compared with the results taken from experimental procedures by Nyquist response method and Ziegler & Nichols method on the time domain, and both results were confirmed to be nearly same.

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Design of a Position Control System for Electro-hydraulic Motors (전기유압식 모터용 위치제어 시스템의 설계)

  • 박진길;진강규;노영오;한봉주;정주윤;박재식
    • Journal of Advanced Marine Engineering and Technology
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    • v.16 no.3
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    • pp.30-41
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    • 1992
  • For the state feedback controller which measures only partial state variables, a state observer can be used to give the estimates of unmeasurable states. In this paper, the delayed state feedback method instead of the state observer for desingning a tracking controller of electro-hydraulic control system is presented. The controller design is based on augmenting the original system by one additional integral and proportional element which compensates for the effect of the integral control and on feeding back the measurable state variables and their delayed values. The performance of the proposed position control system is compared with both that of the full state feedback control system and that of the digital PID control system tuned by the Ziegler-Nichols method and by the parameter readjustment through the computer simulation. And then robustness against unmeasurable constant disturbace and parameter variations during operations is also checked.

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Application of Personal Computer as a Self-Tuning PID Controller

  • Tanachaikhan, L.;Sriratana, W.;Pannil, P.;Chaikla, A.;Julsereewong, P.;Tirassesth, K.
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.505-505
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    • 2000
  • Controlling the process by PID controller is widely used in industry by applying Ziegler-Nichols method in analyzing parameter of the controller. However, in fact. it is still necessary to tune parameter in order to obtain the best process response. This paper presents a Self-Tuning PID controller utilizes the personal computer to synthesize and analyze controller parameter as well as tune for appropriate parameter by using Dahlin method and Extrapolation. Experimental results using a Self-Tuning PID controller to control water level and temperature, it is found that the controller being developed is able to control the process very effectively and provides a good response similar to the controller used in the industry.

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STUDY ON THE OPERATING CONDITION AND STABILITY OF CONTROL SYSTEM IN THE SPACE OF ADJUSTING PARAMETERS (조정파라미터 공간에서의 제어계 동작점과 안정성에 관한 연구)

  • 최순만
    • Journal of Advanced Marine Engineering and Technology
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    • v.24 no.4
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    • pp.470-477
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    • 2000
  • The states of control loops in existing actual systems are changed according to time varying conditions of controllest process and other system components. Adjusting control parameters properly at site which is performed generally by Ziegler & Nichols mthod is important for safe and efficient operation, but the method may require much time to adjust and not easy to inexperienced engineers. This study is aimed to propose more handy method to adjust control parameters by plotting operating conditions on the space of adjusting parameters. One loop of model control system without perturbation condition has been adopted and its stability limit was plotted on the coordinates of Gain and Integral time which was acquired after analyzing Nyquist diagrams and time domain responses. The result showed that the sets of adjusting parameters according to critical stability and proper stability could be acquired reasonably through both responses and the curves on parameter space revealed available patterns for the purpose of easy maintenance of control characteristics.

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A study on the design of Carbon Dioxide Measurement System using Infrared sensor and PID temperature control (PID 온도 제어 및 적외선 센서를 이용한 이산화탄소 측정 시스템 설계에 관한 연구)

  • Lim, Hyung-Taek;Beack, Seung-Hwa;Joo, Kwan-Sik
    • Journal of Sensor Science and Technology
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    • v.8 no.3
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    • pp.259-264
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    • 1999
  • The $CO_2$ measuring system using infrared sensor has the variance according to the temperature change. Therefore, the temperature compensation should be needed to obtain a reliable measurement. In this study, the sensor module consist of infrared $CO_2$ Sensor, IR Source, pipe and the heater and measuring system has amplifier, A/D converter and microprocessor. And we suggest a method to reduce the error by using the PID temperature control. We use optimum parameters setting of Ziegler & Nichols as well as PID temperature control algorithm for the temperature compensation. In this method, PID optimum parameter is set from dummy time(L) and maximum slope(R). As a result of using this PID temperature control, it is founded that it has the fast response and low steady state error. Therefore, it is certainly proved that this is very suitable algorithm to correct the error on measurement.

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Controller Design and Stability Analysis of Affine System with Dead-Time (불감시간을 갖는 Affine 시스템의 안정도 해석과 제어기 설계)

  • Yang Hai-Won;Byun Hwang-Woo
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.2
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    • pp.93-102
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    • 2005
  • The Nyquist robust stability margin is proposed as a measure of robust stability for systems with Affine TFM(Transfer Function Matrix) parametric uncertainty. The parametric uncertainty is modeled through a Affine TFM MIMO (Multi-Input Multi-Output) description with dead-time, and the unstructured uncertainty through a bounded perturbation of Affine polynomials. Gershgorin's theorem and concepts of diagonal dominance and GB(Gershgorin Bands) are extended to include model uncertainty. Multiloop PI/PID controllers can be tuned by using a modified version of the Ziegler-Nichols (ZN) relations. Consequently, this paper provides sufficient conditions for the robustness of Affine TFM MIMO uncertain systems with dead-time based on Rosenbrock's DNA. Simulation examples show the performance and efficiency of the proposed multiloop design method for Affine uncertain systems with dead-time.