• Title/Summary/Keyword: LQ Feedback Controller

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Sliding Mode Control of Rotational Inverted Pendulums Using Output Feedback Compensator (출력 피드백을 이용한 회전형 역진자의 슬라이딩 모드 제어)

  • Ha, Jong-Heon;Choi, Joeng-Ju;Kim, Jong-Shik
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.469-474
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    • 2000
  • A sliding mode control method using the parameterization of both the hyperplane and the compensator for output feedback and reduced observer is presented for rotational inverted pendulums. This control strategy overcomes the problem of unattainable velocity state which is resulted from severe noise of analogue sense and constructs numerical algorithms designs of dynamic output feedback sliding mode hyperplane and controller. The result of the experiment shows the superior performance compared with the LQ controller and the robustness with respect to both tapping disturbances and certain initial conditions.

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LPD(Linear Parameter Dependent) System Modeling and Control of Mobile Soccer Robot

  • Kang, Jin-Shik;Rhim, Chul-Woo
    • International Journal of Control, Automation, and Systems
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    • v.1 no.2
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    • pp.243-251
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    • 2003
  • In this paper, a new model for mobile soccer robot, a type of linear system, is presented. A controller, consisting of two loops the one of which is the inner state feedback loop designed for stability and plant be well conditioned and the outer loop is a well-known PI controller designed for tracking the reference input, is suggested. Because the plant, the soccer robot, is parameter dependent, it requires the controller to be insensitive to the parameter variation. To achieve this objective, the pole-sensitivity as a pole-variation with respect to the parameter variation is defined and design algorithms for state-feedback controllers are suggested, consisting of two matrices one of which is for general pole-placement and other for parameter insensitive. This paper shows that the PI controller is equivalent to the state feedback and the cost function for reference tracking is equivalent to the LQ cost. By using these properties, we suggest a tuning procedure for the PI controller. We that the control algorithm in this paper, based on the linear system theory, is well work by simulation, and the LPD system modeling and control are more easy treatment for soccer robot.

Performance analyses of RHLQG/FIRF controller

  • Yoo, Kyung-Sang;Kwon, Oh-Kyu
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.88-94
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    • 1993
  • In this paper we analyze the RHLQG/FIRF optimal.contol law presented in [4,5] in order to stabilizes a stochastic linear time varying systems with modeling uncertainty. It is shown by the frequency domain analysis that the RHC is robuster than the LQ control law. Explicit LTR procedures are given to improve the robust performance of RHLQC/FIRF cotrol law. Using the mismatching function technique [8], we propose an LTR method which makes the RHLQG/FIRF controller recover the feedback properties of the R.HC law. Also we compare the LTR performance of the RHLQC/FIRF via simulation with conventional LTR methods.

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Design of Static Output Feedback Controllers for Rollover Prevention (차량 전복 방지를 위한 정적 출력 피드백 제어기 설계)

  • Yim, Seongjin;Oh, Dongho
    • Transactions of the Korean Society of Automotive Engineers
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    • v.22 no.1
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    • pp.20-28
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    • 2014
  • This paper presents static output feedback LQ and $H_{\infty}$ controllers for rollover prevention. Linear quadratic static output feedback controllers have been proposed for rollover prevention in such a way to minimize the lateral acceleration and the roll angle. Rollover prevention capability can be enhanced if $H_{\infty}$ controller is designed. To avoid full-state measurement for feedback requirement or sensitiveness of an observer to nonlinear model error, static output feedback is adopted. To design static output feedback controllers, Kosut's method is adopted because it is simple to calculate. Differential braking and active anti-roll bar are adopted as actuators that generate yaw and roll moments, respectively. The proposed method is shown to be effective in preventing rollover through the simulations on nonlinear multi-body dynamic simulation software, CarSim.

Optimal Output Feedback Control Simulation for the Operation of Space Shuttle Main Engine (우주왕복선 액체로켓엔진 작동의 최적출력제어 시뮬레이션)

  • Cha, Jihyoung;Ko, Sangho
    • Journal of the Korean Society of Propulsion Engineers
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    • v.20 no.3
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    • pp.37-53
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    • 2016
  • This paper deals with an optimal output control for Space Shuttle Main Engine (SSME), a liquid propellant rocket engine using a staged-combustion cycle. For this purpose, we modeled simplified mathematical model of SSME using each SSME component divided into 7 major categories and found trim points called Rated Propulsion Level (RPL). For design the closed-loop system of SSME, we designed optimal output feedback Linear Quadratic Regulation (LQR) control system using SSME linearized model under RPL 104% and demonstrated the performance of the controller through numerical simulation.

A Controller Design of a Magnetic Levitation System (자기부상 시스템의 제어기 설계)

  • Ha, Y.W.
    • Journal of Power System Engineering
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    • v.4 no.3
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    • pp.62-71
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    • 2000
  • A mathematical modeling for a magnetic levitation system is proposed using the Taylor series expansion of differential function for obtaining linearity. It is confirmed that this kind of linear approximation method can be used to the modeling of a magnetic levitation system. The two-degree-of-freedom optimal servo system for a constant reference signal is proposed using the LQ optimization technique. An additional state feedback is introduced at the output of the integrator to cancel the integral action for reference signal if there is no modeling error of the plant and no disturbance input to the plant. When the modeling error or the disturbance input exists, the integral effect appears. The system has a free parameter which can b used to tune the effect of the integral compensation.

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Comparison Among Yaw and Roll Motion Controllers for Rollover Prevention (차량 전복 방지를 위한 롤 및 요 운동 제어기의 성능 비교)

  • Yim, Seongjin
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.7
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    • pp.701-705
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    • 2014
  • This article presents a comparison among several yaw and roll motion controllers for vehicle rollover prevention. In the previous research, yaw and roll motion controllers can be independently designed for rollover prevention. Following this idea, several yaw and roll motion controllers are designed and compared in terms of rollover prevention. For the yaw motion control, PID, LQR, SMC (Sliding Mode Control) and TDC (Time-Delay Control) are adopted. For the roll motion control, LQR, LQ SOF (Static Output Feedback) control, PID, and SMC are adopted. To compare the performance of each controller, simulation is performed on a vehicle simulation package, CarSim$^{(R)}$. From simulation, TDC and LQ SOF are the best for yaw and roll motion control, respectively.

LQG Controller for the Vibration Control of Building Structures (건물의 진동제어를 위한 LQG제어기)

  • 민경원;이성경
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.2
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    • pp.243-249
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    • 1999
  • 지진력을 받는 건물의 응답을 능동적으로 제어하기 위해서는 건물의 응답을 측정하고, 이것을 바탕으로 제어력을 산정하여야 한다. 제어력의 산정 방법에는 여러 제어 알고리듬이 적용이 될 수 있는데, 2차 성능지수를 이용하는 LQ제어는 해석의 용이함과 제어의 효율성으로 인하여 널리 쓰이고 있다. 그러나, LQ제어에는 실시간으로 계측이 된 건물의 지반과의 상대 변위 및 속도를 필요로 하나 이러한 상태 변수를 계측하기가 매우 어려워 건물의 제어를 위한 적용에 한계가 있다. 따라서, 계측이 용이한 건물의 절대 가속도를 바탕으로 관측이 용이한 건물의 절대 가속도를 바탕으로 관측기를 이용하여 상태 변수를 추정하여 제어력을 산정하는 LQC 제어 알고리듬이 지진력을 받는 건물에 대한 실용적인 알고리듬이 될 수 있다. 본 연구에서는 이러한 LQC 알고리듬의 성능을 검증하기 위하여 능동제어추진기가 설치된 축소 1층 모형에 대한 해석 및 실험을 수행하였으며, 그 결과 LQC 알고리듬의 제어 효율을 확인할 수 있었다.

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Digital Optimal Preview Control of Tandem Cold Mills (연속냉간 압연시스템의 디지털 최적 예견제어)

  • 김종식;김승수;이규택
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.9
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    • pp.2142-2153
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    • 1995
  • A digital preview controller using optimal LQ control theory is suggested for tandem cold mills to achieve a remarkable improvement of the thickness accuracy. Optimal preview control system is constructed for each rolling stand of tandem cold mills for which the blocked noninteracting control is carried out, and it is compared with the optimal LQ control system which has only feedback control. And in the cases that all/some of disturbance inputs are previewable, full and partial preview controllers are designed, and their performance effects are compared and discussed. The simulation results show that the performance of tandem cold mills can be improved largely through partial preview control.

Robust Controller Design for Perturbed Systems and Control of an Attractive Type Magnetic Levitation System (섭동계의 강인한 제어기 설계와 흡인형 자기부상계 제어)

  • 김상봉;김환성;정남수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.2
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    • pp.226-235
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    • 1992
  • This paper is concerned with the robust control of LQ state feedback regulators with poles in a specified region in the presence of system uncertainty. The robust stability results for the constant and nonlinear time varying perturbations are derived in terms of bounds of the perturbed system matrices and the weighting matrices in the performance index of LQ problem. The theoretical results are applied to the gap control problem of an attractive-type-magnetic levitation system and the effectiveness is proved by the implementation of digital control using 16 bits microcomputer.