• Title/Summary/Keyword: Gain and phase margins

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A robust control system design by a parameter space approach based on sign difinite condition

  • Kimura, Tetsuya;Hara, Shinji
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10b
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    • pp.1533-1538
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    • 1991
  • A parameter space approach for robust control system design is developed by reducing several design specifications to sign definite conditions. It is shown that the gain and phase margin constraints for the parametric perturbed plant hold if and only if the four Kharitonov systems satisfy the margins. On pole location, it is shown that D-stability of convex combinations (1-t)p(s)+tq(s) can be determined by the coefficients corresponding to p(s) and q(s) based on the sign definite condition. We show a method of PI-type robust control system design as a useful example.

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Robustness Properties of Kalman Filters for Systems with Delays in State and Output (상태 및 출력에 시간지연이 존재하는 시스템을 위한 칼만필터의 강인성 분석)

  • 이상정;홍석민
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.40 no.12
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    • pp.1302-1307
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    • 1991
  • This paper presents robustness properties of Kalman filters for linear time-invariant systems with delays in both the state and the output. The circle condition concerning the return difference matrix is derived. From the circle condition, it can be seen that the Kalman filter guarantees such nondivergence margins as (1/2,$\infty$) gain margin and $\pm$60$^{\circ}$phase margin, which are the same as those for ordinary systems. The results in this paper might be expected to make theoretical background on extending the LQG/LTR method to systems with delay in the output.

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Analysis of Current Control Stability using PI Control in Synchronous Reference Frame for Grid-Connected Inverter with LCL Filter (LCL 필터를 사용하는 계통연계형 인버터의 동기좌표계 PI 전류제어 안정도 해석)

  • Jo, Jongmin;Lee, Taejin;Yun, Donghyun;Cha, Hanju
    • The Transactions of the Korean Institute of Power Electronics
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    • v.21 no.2
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    • pp.168-174
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    • 2016
  • In this paper, current control using PI controller in the synchronous reference frame is analyzed through the relationship among bandwidth, resonance frequency, and sampling frequency in the grid-connected inverter with LCL filter. Stability is investigated by using bode plot in frequency domain and root locus in discrete domain. The feedback variable is the grid current, which is regulated by the PI controller in the synchronous reference frame. System delay is modeled as 1.5Ts, which contains computational and PWM modulator delay. Two resonance frequencies are given at 815 Hz and 3.16 kHz from LCL filter parameters. Sufficient phase and gain margins can be obtained to guarantee stable current control, in case that resonance frequency is above one-sixth of the sampling frequency. Unstable current control is performed when resonance frequency is below one-sixth of the sampling frequency. Analysis results of stability from frequency response and discrete response is the same regardless of resonance frequency. Finally, stability of current control based on theoretical analysis is clearly verified through simulation and experiment in grid-connected inverters with LCL filter.

An Optimal Approach to Rotational Vibration Suppression using Disturbance Observer in Disk Drive Systems

  • Park, Sung-Won;Kim, Nam-Guk;Chu, Sang-Hoon;Kang, Chang-Ik;Lee, Ho-Seong
    • Transactions of the Society of Information Storage Systems
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    • v.3 no.1
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    • pp.5-12
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    • 2007
  • This paper investigates the design of disturbance observer for rotational vibration suppression in disk drive systems. The design aims to provide an optimal controller which satisfies both vibration performance and robust stability. It consists of an inversion method, a special filter, and optimization scheme. Firstly a new inversion method is introduced, which provides more accurate inversion compared to conventional zero phase error method. The inversion is to deal with unstable zeros in the plant model. Secondly a special filter for disturbance selection is given, which features adjustable gain and band pass characteristics so that it enables flexible shaping of the loop considering the trade-off between performance and stability margins. And finally the parameters of disturbance observer are optimized in conjunction with external disturbance model. Simulation and experiment on commercial hard disk drives confirm that the design is very effective to such disturbance which is hard to be handled by conventional approach.

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Beam selection method for millimeter-wave-based uplink hybrid beamforming systems (밀리미터파 기반 상향링크 하이브리드 빔포밍 시스템을 위한 빔선택 방법)

  • Shin, Joon-Woo
    • Journal of Advanced Marine Engineering and Technology
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    • v.40 no.9
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    • pp.818-823
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    • 2016
  • Millimeter wave (mm-wave) communication systems provide high data rates owing to the large bandwidths available at mm-wave frequencies. Recently, analogue and digital combined beamforming, namely "hybrid beamforming" has drawn attentions owing to its ability to realize the required link margins in mm-wave systems. Taking into account the radio frequency (RF) hardware limitations, such as the analogue phase shifter gain constraint and the low resolution of the phase controller, we introduce an uplink hybrid beamforming system that includes discrete Fourier transform (DFT) based "fixed" analogue beamforming. We adopt a zero-forcing (ZF) multiple-input multiple-output (MIMO) equalizer to eliminate the uplink inter-user interferences. Moreover, to improve the sum-rate performances, we propose a transmit beam selection algorithm which makes the uplink effective channels, i.e., the beamformed channels, become near orthogonal. The effectiveness of the proposed beam selection algorithm was verified through numerical simulations.

Stability Analysis of Three-Loop Autopilot with respect to IMU Position and C.G Variation Rate in Guided Missiles (IMU 탑재 위치 및 유도탄 무게 중심 변화율에 따른 Three-Loop 조종 알고리듬 안정성 분석)

  • Kwon, Hyuck-Hoon;Kim, Yoon-Hwan;Park, Bong-Gyun
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.44 no.6
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    • pp.492-501
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    • 2016
  • Three-Loop autopilot is generally used for the acceleration control of guided missiles. Because the acceleration command to the three-loop autopilot is given as values at the center of gravity, feedback information of IMU should be obtained at the same position. However, the position of IMU might not be located at the center of gravity due to the sub-system assignment. This paper presents the stability analysis of three-loop autopilot with respect to the arbitrary position of IMU and variation rate of center of gravity. Gain and phase margins are calculated for several trim points for general anti-tank missiles.