• Title/Summary/Keyword: phase-gain margin

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Robust PID controller design to ensure specified Gain and Phase Margin (이득여유와 위상여유를 보강하는 견실한 PID 제어기 설계)

  • Cho, Joon-Ho;Ryu, Young-Guk;Choi, Jung-Nae;Hwang, Hyung-Soo
    • Proceedings of the KIEE Conference
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    • 2000.11d
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    • pp.632-634
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    • 2000
  • The robust design of controllers to ensure gain and phase margin is can be use approximation of arctan function. In this paper, We proposed a tuning algorithm PID controllers based on specified gain and phase margin by a new approximation of arctan function. This method have linear interpolation equations of two arctan interval instead of one arctan interval of arctan(x). It is shown that the frequency response of this method was to ensure specified gain and phase margin.

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Gain-phase margin specified PI speed control of a PM synchronous motor

  • Kim G.S.;Youn M.J.
    • Proceedings of the KIPE Conference
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    • 2003.07b
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    • pp.994-997
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    • 2003
  • Simple tuning formulae are derived to design a Pl controller to meet the gain and phase margin specifications. These formulae are suitable for the auto-tuning of a process where the robustness should be guaranteed. The auto-tuned PI controller is examined for the speed regulation of a PM synchronous motor.

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A Modified IMC-PID Controller Design Considering Model Uncertainty (모델 불확실성을 고려한 변형된 IMC-PID 제어기 설계)

  • Kim, Chang-Hyun;Lim, Dong-Kyun;Suh, Byung-Suhl
    • Proceedings of the KIEE Conference
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    • 2005.05a
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    • pp.128-130
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    • 2005
  • This paper proposes a modified IMC-PID controller that introduces controlling factor of the system identification to the standard IMC-PID controller in order to meet the design specifications such as gain, phase margin and maximum magnitude of sensitivity function in the frequency domain as well as the design specifications in time domain, settling, rising time and overshoot, and so on.

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A Design of Homopolar Generator System Considering Instability with Negative Characteristics Load (부성부하와의 발진을 고려한 단극발전기 시스템 설계)

  • Kim, In-Soo;Seong, Se-Jin
    • Proceedings of the KIPE Conference
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    • 2008.06a
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    • pp.449-451
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    • 2008
  • This paper studies the instability between homopolar generator and constant power load with negative impedance characteristics, provides the design method of homopolar generator system which overcomes the instability. In case of magnitude and phase of impedance of source and load mismatch, control instability of source can occur. For the safety of phase of load impedance, the gain of P, I controller with sufficient phase margin is applied through analysis on the simulation model of generator system, and the gain limit of load impedance is ensured by limitation of the gain margin of generator system. The stability of power system can be increased by considering and analyzing the impedance of source and load.

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The Design of IMC-PID Controller Considering a Phase Scaling Factor (위상 조절 인자를 고려한 IMC-PID 제어기의 설계)

  • Kim, Chang-Hyun;Lim, Dong-Kyun
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.9
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    • pp.1618-1623
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    • 2008
  • In this paper, a new design method for IMC-PID that adds a phase scaling factor of system identifications to the standard IMC-PID controller as a control parameter is proposed. Based on analytically derived frequency properties such as gain and phase margins, this tuning rule is an optimal control method determining the optimum values of controlling factors to minimize the cost function, integral error criterion of the step response in time domain, in the constraints of design parameters to guarantee qualified frequency design specifications. The proposed controller improves existing single-parameter design methods of IMC-PID in the inflexibility problem to be able to consider various design specifications. Its effectiveness is examined by a simulation example, where a comparison of the performances obtained with the proposed tuning rule and with other common tuning rules is shown.

Improved negative capacitance circuit stable with a low gain margin (이득 여유가 작아도 안정한 개선된 네가티브 커패시턴스 회로)

  • 김영필;황인덕
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.40 no.6
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    • pp.68-77
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    • 2003
  • An improved negative capacitance circuit that cancels out input impedance of a front-end in a bioimpedance measurement and operates stably with a low gain margin has been proposed. Since the proposed circuit comprises wide-band operational amplifiers, selecting operational amplifiers is easy, while an operational amplifier of prefer bandwidth should be chosen to apply conventional circuit. Also, since gain margin can be controlled by a feedback resistor connected serially with a feedback capacitor, gain margin is tuneable with a potentiometer. The input impedance of the proposed circuit is two times larger than that of the conventional circuit and 40-times than that without a negative capacitance circuit. Furthermore, closed-loop phase response of the proposed circuit is better than that of the conventional circuit or without a negative capacitance circuit. Above all, for the proposed circuit, the frequency at which a gain peaking occurs is higher than the frequency at which the loop gain becomes a maximum. Thus, the proposed circuit is not affected by a gain peaking and can be operated with a very low gain margin.

Optimal Gain Design Method of the 3 Phase Boost Converter (3상 부스트 컨버터의 제어기 최적 이득 설계 기법)

  • Park, Hae-Chan;Kim, Il-Song
    • The Transactions of the Korean Institute of Power Electronics
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    • v.22 no.1
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    • pp.1-8
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    • 2017
  • The optimal gain design method of a three-phase boost converter is proposed in this study. The control system has a two-loop configuration, in which each controller is coupled closely; thus, the optimal design is difficult to achieve using conventional gain-tuning method. The proposed method is adopted to the MATLAB SISO TOOL software and is based on the controller requirements, which are phase margin and cut-off frequency of the open-loop system. The optimal proportional -integral gains can be designed easily using the proposed interactive method of the SISO TOOL. The performance of the proposed system is verified through simulation and experiments.

Frequency-domain properties of Kalman filters for linear systems with delay in output (출력에 시간지연이 있는 시스템을 위한 칼만필터의 주파수영역 특성)

  • 이상정
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.169-171
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    • 1988
  • This paper deals with the robustness property of Kalman filters for linear systems with delay in output. The operator-type Riccati equation is transformed to algebraic equations, and the circle condition is derived. Based on the circle condition, it is shown that the same nondivergence margin, (1/2, .inf.) gain margin and +-60.deg. phase margin, is guaranteed as for ordinary systems.

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A new criterion for determining the sampling rate of digital controller (디지털제어기의 제어주기 결정방법에 관한 연구)

  • 이준화;문홍주;정병근
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.360-360
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    • 2000
  • In this paper, a new criterion f9r determining the sampling rate of digital conroller is proposed. This paper will introduce a method fur determining the appropriate sampling rate of digital controller which can be substituted with the given analog controller, using phase margin and gain cross over frequency, not rising time or bandwidth of the closed-loop system. This method also guarantees performance of the system. Without exact modeling functions of the plant, abstracting those functions, this paper can achieve stability and aimed performance of the system, and this paper proved it with proper modeling functions.

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The Digital Controller of the Single-Phas Power Factor Correction(PFC) having the Variable Gain (가변 이득을 가지는 단상 PFC 디지털 제어기)

  • 정창용
    • Proceedings of the KIPE Conference
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    • 2000.07a
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    • pp.163-167
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    • 2000
  • This paper presents the digital control of single-phase power factor correction(PFC) converter which has the variable gain according to the condition of inner control loop error. Generally the gain of inner current control loop in single-stage PFC converter has a constant magnitude. This has a bad influence on the power factor because current loop doesn't operate smoothly in the condition that input voltage is low In particular a digital controller has more time delay than an analog controller and degrades This drops the phase margin of the total digital PFC system,. It causes the problem that the gain of current control loop isn't increased enough. In addition the oscillation happens in the peak value of the input voltage open loop PFC system gain changes according to ac input voltage. These aspects make the design of the digital PFC controller difficult The digital PFC controller presented in this paper has a variable gain of current control loop according to input voltage. The 1kW converter was used to verify the efficiency of the digital PFC controller.

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