• Title/Summary/Keyword: Ziegler-Nickels Method

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An Auto-tuing of PID Conrtroller using Genetic Algorithms (유전자 알고리즘을 사용한 PID제어기의 자동동조)

  • 이수흠;정순현
    • Journal of the Institute of Convergence Signal Processing
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    • v.3 no.2
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    • pp.71-75
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    • 2002
  • We propose a new method to deal with the optimized auto-tuning for the PID controller which is used to the process-control in various fields. First of all, in this method, 1st order delay system with dead time which is modelled from the unit step response of the system is Pade-approximated, then initial values are determined by the Ziegler-Nichols method and deciding binary strings of parents generation using by the fitness values of genetic algorithms, we perform selection, crossover and mutation to generate the descendant generation. The advantage of this method is better than the Ziegler-Nickels method in characteristic of output, and has extent of applying without limit of K, L, T parameters.

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An Auto-tuning of PID Controller in Consideration of Disturbance using Genetic Algorithms (유전 알고리즘을 이용한 외란을 고려한 PID제어기의 자동동조)

  • Lee, Sang-Hyun;Kim, Jung-Gon;Seo, Bo-Hyeok
    • Proceedings of the KIEE Conference
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    • 2002.11c
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    • pp.361-364
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    • 2002
  • In this paper, we propose a new method to deal with the optimized auto-tuning for the PID controller which is used to the process-control in various fields. First of all, in this method, 1st order delay system with dead time which is modelled from the unit step response of the system is $Pad'{e}$-approximated, then initial values are determined by the Ziegler-Nickels method. So deciding binary strings of parents generation using by the fitness values of genetic algorithms, we perform selection, crossover and mutation to generate the descendant generation. The advantage of this method is better than the Ziegler-Nickels method in characteristic of output, and has extent of applying without limit of K, L, T parameters.

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An Auto-tuing of PID Controller using Genetic Algorithms (유전자 알고리즘을 사용한 PID제어기의 자동동조)

  • 이수흠;이내일;정순현
    • Proceedings of the Korea Institute of Convergence Signal Processing
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    • 2000.12a
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    • pp.225-228
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    • 2000
  • We propose a new method to deal with the optimized auto-tuning for the PID controller which is used to the process-control in various fields. First of all, in this method, 1st order delay system with dead time which is modelled from the unit step response of the system is Pade-approximated, then initial values are determined by the Ziegler-Nickels method. So deciding binary strings of parents generation using by the fitness values of genetic algorithms, we perform selection, crossover and mutation to generate the descendant generation. The advantage of this method is better than the Ziegler-Nickels method in characteristic of output, and has extent of applying without limit of K, L, T parameters.

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An Analytic Study on the Relations between the Ziegler-Nichols Tuning Methods for Controllers (지글러-니콜스 제어파라미터 조정법 (1), (2)의 연관성에 대한 해석적 연구)

  • 강인철;최순만;최재성
    • Journal of Advanced Marine Engineering and Technology
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    • v.26 no.2
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    • pp.219-225
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    • 2002
  • Parameter tuning methods by Ziegler-Nichols for PID controllers are generally classified into Z-N(1) and Z-N(2). The purpose of this paper is to describe what relations exist between the methods of Z-N(1) and Z-N(2), or how Z-N(1) can be originated from Z-N(2) by analyzing one loop control system composing of P or PI controller and time delay process. In this paper, for the first step to seek mutual relations, the simple formulas of Z-N(2) are transformed into those composing of the same parameters as Z-N(1) which is derived from the analysis of frequency characteristics. Then, the approximation of the actual ultimate frequency is proposed as important premise in the translation between Z-N(1) and (2). Such equalization and approximation brings a simple approximated formula which can explain how Z-N(1) is originated from the Z-N(2) in the form of formula.

A DC Motor Speed Control by Selection of PID Parameter using Genetic Algorithm

  • Yoo, Heui-Han;Lee, Yun-Hyung
    • Journal of Advanced Marine Engineering and Technology
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    • v.31 no.3
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    • pp.293-300
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    • 2007
  • The aim of this paper is to design a speed controller of a DC motor by selection of a PID parameters using genetic algorithm. The model of a DC motor is considered as a typical non-oscillatory, second-order system, And this paper compares three kinds of tuning methods of parameter for PID controller. One is the controller design by the genetic algorithm. second is the controller design by the model matching method third is the controller design by Ziegler and Nichols method. It was found that the proposed PID parameters adjustment by the genetic algorithm is better than the Ziegler & Nickels' method. And also found that the results of the method by the genetic algorithm is nearly same as the model matching method which is analytical method. The proposed method could be applied to the higher order system which is not easy to use the model matching method.

An Optimal Auto-Tuning of PID Controller using Evolution Programs (II) (진화 프로그램을 사용한 PID제어기의 최적 자동동조 (I I))

  • 이수흠;이내일;방근태
    • Proceedings of the Korea Institute of Convergence Signal Processing
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    • 2000.08a
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    • pp.109-112
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    • 2000
  • We propose a new method to deal with the optimized auto-tuning for the PID controller which is used to the process-control In various fields. First of all, in this method, 1st order delay system with dead time which is modelled from the unit step response of the system is Pade -approximated, then initial values are determined by the Ziegler-Nichols method. After inputting constraints of evolution programs, we perform crossover and mutation to generate the descendant generation. The advantage of this method is better than the Ziegler-Nickels method in characteristic of output and has extent of applying without limit of K, L, T.

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A study on The Fuzzy PID Controller for an gain self-tuning (이득동조를 위한 퍼지 PID 제어기의 연구)

  • 유상욱
    • Journal of the Institute of Electronics Engineers of Korea TE
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    • v.37 no.3
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    • pp.60-65
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    • 2000
  • We propose a new method to deal with the optimal gain self-tuning of the PID controller which is used to industrial process control in various fields. First of all, in this method, first order delay system which was modeled from the unit step response of the system is Pade-approximated, then initial values are determined by the Ziegler-Nickels method. Finally, we can find the parameters of Pm controller so as to maximize the fuzzy inferencl function which includes the maximum overshoot, damping ratio, rising time and settling time. The proposed method also shows good adaptability for variations in characteristics and dead time of the system.

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Controller Design Adaptable to Design Specification and Identification Algorithm (설계사양에 부합되는 제어기 설계와 식별 알고리즘)

  • Jeon, Kyu-Seok;Suh, Byung-Suhl
    • Proceedings of the KIEE Conference
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    • 2002.11c
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    • pp.63-66
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    • 2002
  • This paper proposes a new identification method to be able to meet the design specifications. By introducing a controller factor in Pade apporximation of the previous system identification algorithm, relationships between system identification and design specifications are obtained through the Ziegler-Nickels tuning rule.

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An Analytic Study On the Mutual Relation between Method(1) and (2) of ZIEGLER-NICHOLS Control Parameter Tuning (지글러-니콜스 제어파라미터 조정법(1),(2)의 상호 연관성에 대한 해석적 연구)

  • 강인철;최순만;최재성
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2001.11a
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    • pp.112-119
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    • 2001
  • Parameter tuning methods by Ziegler-Nickels for control systems are generally classified into Z-N(1) and Z-N(2). The purpose of this paper is to describe what relations exist between methods of Z-N(1) and Z-N(2), or how Z-N(1) method can be originated from Z-N(2) method by analyzing one loop control system of P or PI controller and time delay process. The formulas of Z-N(1) consist of process parameters, L(time delay), $K_m$(gain) and $T_m$(time constant), but Z-N(2) method is based only on the ultimate gain $K_u$ and the ultimate period $T_u$ acquired normally by practical trial without any parameters of Z-N(1). In this paper, for the first step to seek mutual relations, the simple formulas of Z-N(2) are transformed into the formulas composed of the same parameters as Z-N(1) which is derived from the analysis of frequency characteristics. Then, the approximation of the actual ultimate frequency is proposed as important premise in the translation between Z-N(1) and (2). Such equalization and approximation brings a simple approximated formula which can explain how Z-N(1) is originated from the Z-N(2) in the form of formula. And a model system is adopted to compare the approximated formula to Z-N(1) and Z-N(2) methods, the results of which show the effectiveness of the proposals.

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Robust Multiloop Controller Design of Uncertain Affine TFM(Transfer Function Matrix) System (불확실한 Affine TFM(Transfer Function Matrix) 시스템의 강인한 다중 루프 제어기 설계)

  • Byun Hwang-Woo;Yang Hai-Won
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.54 no.1
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    • pp.17-25
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    • 2005
  • This paper provides sufficient conditions for the robustness of Affine linear TFM(Transfer Function Matrix) MIMO (Multi-Input Multi-Output) uncertain systems based on Rosenbrock's DNA (Direct Nyquist Array). The parametric uncertainty is modeled through a Affine TFM MIMO description, 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. For this type of parametric robust performance we show robustness of the Affine TFM systems using Nyquist diagram and GB, DNA(Direct Nyquist Array). Multiloop PI/PB controllers can be tuned by using a modified version of the Ziegler-Nickels (ZN) relations. Simulation examples show the performance and efficiency of the proposed multiloop design method.