• Title/Summary/Keyword: Step Input Response

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Comparative Study on Classical Control and Modern Control via Analysis of Circuit-based Time Response (회로망 기반의 시간응답 해석에 따른 고전제어와 현대제어의 비교 연구)

  • Min, Yong-Ki
    • The Journal of the Korea institute of electronic communication sciences
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    • v.12 no.4
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    • pp.575-584
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    • 2017
  • It is suggested the circuit network to analyze the time response of control system. And it is analyzed the interrelation for classical control and modern control by the transfer function and the state equation. Without complicated integration of state transition equation, it is suggested to possible time response by combining the state transition matrix and the transfer function. A source program is coded to display the time response according to the unit-step and the sinusoidal input. Transient response is analyzed in the unit-step input and phase difference between current and voltage is analyzed in sinusoidal input. As writing the suggested contents in transient response or state-space analysis, it is improved the understanding for control engineering and ability for system design.

Sufficient and Necessary Condition for Monotone Nondecreasing Step Response of Second-Order System

  • Kwon, Byung-Moon;Kwon, Oh-Kyu;Kim, Dae-Woo
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.96.1-96
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    • 2001
  • This paper is shown that the impulse and unit step response of second-order system can be computed by the analytic methods using Laplace transform. Also, the transient response specifications are explicitly formulated by the peak undershoot and maximum overshoot of the step response. Three different second-order systems are investigated: prototype system, system with LHP(left half plane) real zero, and system with RHP(right half plane) real zero. Based on these analytic results, this paper presents the sufficient and necessary conditions for the second-order linear SISO(single-input/single-output) stable system to have the nonovershooting or monotone nondecreasing step response.

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Switching Control of Ball and Beam System using Partial State Feedback: Jacobian and Two-Step Linearization Methods (자코비안 및 2단 선형화 기법과 부분 상태궤환을 이용한 볼-빔 시스템의 스위칭 제어)

  • Lee, Kyung-Tae;Choi, Ho-Lim
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.5
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    • pp.819-832
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    • 2017
  • We propose a new switching control scheme for a ball and beam system by utilizing two linearization methods. First, the Jacobian linearization is applied and state observer is developed afterward. Then, motivated [6], the approximate input-output linearization is carried out, and after that, the Jacobian linearization is applied along with the design of state observer. Since the second approach requires two linearizations, it is called a two-step linearization method. The state observer is needed for the estimation of the velocities of ball and motor movement. Since the Jacobian linearization based controller tends to provide faster response at the initial time, and after that, the two-step linearization based controller tends to provide better response in terms of output overshoot and convergence to the origin, it is natural to give a switching control scheme to provide the best overall control response. The validity of our control scheme is shown in both simulation and experimental results.

A STUDY ON SIMPLE TIME VARYING FEEDFORWARD COMPENSATOR

  • Kwon, Byung-Moon;Son, Won-Kee;Kwon, Oh-Kyu
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.500-500
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    • 2000
  • In this paper, we deal wit,11 a simple tim varying feedforward compensator in order to decrease the amount of undershoots and overshoots on the step response. This compensator makes the step type input be a ramp input with saturation for 0 $\leq$ t < $\alpha$. It will be shown that the system with the feedforward compensator has small amount of undershoot and overshoot at the price of rise time. Also, provided the system properly stable, the influence of the design parameter $\alpha$ on the step response of the system with the feedforward compensator is investigated in the current paper.

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Process -dynamic Model for Stock-fluid in a Pressurized Paper Machine Headbox (초지기 가압-헤드박스 내 지료유체의 공정-동특성모델)

  • 윤성훈
    • Journal of Korea Technical Association of The Pulp and Paper Industry
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    • v.31 no.3
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    • pp.35-46
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    • 1999
  • Mathematical modeling provided a systematic analysis for the dynamic behavior of stock fluid in a paper machine pressurized headbox. Dynamic responses of liquid level, sheet basis weight and hydraulic pressure were predicted from the simulation model which represents the system. A unit step and asinusoidal wave load were considered as the input forcing functions in the headbox. Results are summarized as follows : 1. The dependence of sheet basis weight on liquid level in the pressurized-headbox was non -linear. 2. Liquid level in the head-box showed first-order lag with a unit step forcing to fluid input rate ; 3 . The amplitude of wave response of liquid level was inversely proportional to the time content for the sinusoidal input changes ; 4.Sheet basis weight showed second-order oscillating underamped responses for the step input load of flow rate ; 5. The damping factor in the second-order system was a function of air-pressure in the headbox ; and, 6. Dead-time existed in the measuring process for the headbox slice pressure.

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Design of a Microstrip Bandpass Filter Using Step Impedance Resonators and Tapped Input/Output (스텝 인피던스 공전기와 입출력 텝핑을 이용한 마이크로 스트립 대역통과 필터의 설계)

  • 박동철;박정일;이병남
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.11
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    • pp.1728-1735
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    • 1989
  • A design procedure for microstrip bandpass filters using step impedance resonators (SIR's) and tapped input/output to a conventional parallel coupled line bandpass filter is presented. The filter configuration consisting of both half-wavelength and SIR's suppreses to spurious resonance response near the second harmonics, while tapping techniques offer benefit in situations where the impractical. The measured frequency responses of the designed filter are in close agreement with the computed responses.

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Zeros and Step Response Characteristics in LTI SISO Systems with Complex Poles (복소극점을 갖는 선형시불변 단일입출력 시스템의 영점과 계단응답 특성)

  • Lee, Sang-Yong
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.4
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    • pp.313-318
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    • 2010
  • This paper deals with the relationship between zeros and step response of the second and third order LTI (Linear Time Invariant) SISO (Single-Input and Single-Output) systems with complex poles. Although it has been known that the maximum number of local extrema is less than the number of zeros in the system with only real poles[8], some cases with complex poles are shown in this paper to have many local extrema. This paper proposes monotone nondecreasing conditions and describes the relationship between the transient response and the number of local extrema in step response with each region of zeros.

A Study on the Design of Estimator for Velocity Control of Electro-hydraulic Servo System (유압 서보시스템의 속도제어를 위한 관측기 설계에 관한 연구)

  • Song, Chang-Seop;Yun, Jang-Sang;Shin, Dae-Young
    • Journal of the Korean Society for Precision Engineering
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    • v.8 no.3
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    • pp.64-72
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    • 1991
  • This paper deals with the state estimator and controller. All state variables' feedback in the system were used to improve electro hydraulic servo sysem were used to improve electro hydraulic servo system's responese charact- eristics. Many gains of the state variables'and estimator's are produced by the algebraic Riccati equation, and every state variables'optimal gain and estimator gain is selected by trial and error method. For the designed estimator performance's examination, this paper simulate the time response for the step input, the reduced velocity output in subjected to load torque, and the time response for the step input in changing the inertiamoment.

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Dialogical design of fuzzy controller using rough grasp of process property

  • Ishimaru, Naoyuki;Ishimoto, Tutomu;Akizuki, Kageo
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10b
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    • pp.265-271
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    • 1992
  • It is the purpose of this paper to present a dialogical designing method for control system using a rough grasp of the unknown process property. We deal with a single-input single-output feedback control system with a fuzzy controller. The process property is roughly estimated by the step response, and the fuzzy controller is interactively modified according to the operator's requests. The modifying rules mainly derived from computer simulation are useful for almost every process, such as an unstable process and a non-minimum phase process. The fuzzy controller is tuned by taking notice of four characteristics of the step response: (1) rising time, (2) overshoot, (3) amplitude and (4) period of vibration. The tuning position of the controller is fourfold: (1) antecedent gain factor GE or GCE, (2) consequent gain factor GDU, (3) arrangement of the antecedent fuzzy labels and (4) arrangement of the control rules. The rules give an instance to the respective items of the controller in an effective order. The modified fuzzy PI controller realizes a good response of a stable process. However, because the GDU tuning becomes difficult for the unstable process, it is necessary to evaluate the stability of the process from the initial step response. The fuzzy PI controller is applied to the process whose initial step response converges with GDU tuning. The fuzzy PI controller with modified sampling time is applied to the process whose step response converges under the repeated application of the GDU tuning. The fuzzy PD controller is applied to the process whose step response never converges by the GDU tuning.

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Experimental Test Time Reduction Method for Step Responses Using the Time-Optimal Control Technique (시간최적제어 기법을 이용한 계단응답 실험시간 단축 방법)

  • Lee, Jietae
    • Korean Chemical Engineering Research
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    • v.58 no.2
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    • pp.190-196
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    • 2020
  • The step to obtain a process dynamic model through process experiments is very important because it needs times and expenditures. Step response method is one of the standard methods to have long been used for understanding process dynamics, obtaining dynamical models and designing control systems. For the step response, it is usually required to measure process output for a step input change in the open-loop manner. Its disadvantage criticized is the long open-loop operation. For this, a method based on the time-optimal control technique to minimize the test time for obtaining the step response has been recently presented. However, the method requires iterative computations for the minimization of test times. Here, a method where iterative computations are not required is proposed. Simulation results are presented to show that test times to obtain step responses are reduced considerably and an autotuning method based on the proposed method is compared with the relay feedback autotuning method accepted widely for the autotuning of controllers.