• Title/Summary/Keyword: LQ 제어기

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Multivariable $H_{\infty}$ disturbance rejection control for tandem cold mills (연속 냉간 압연기의 다변수 $H_{\infty}$ 외란제거 제어)

  • 김승수;김종식
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.391-394
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    • 1997
  • A H$_{\infty}$ control techniques with roll eccentricity filter is proposed to alleviate the effect of entry thickness variation and roll eccentricity occurred in rolling stand itself of tandem cold mills. A robust controller to the disturbances is designed using H$_{\infty}$ control techniques, which can reflect the input direction of disturbances and knowledge of disturbance spectrum in the frequency domain. And, non-standard H$_{\infty}$ control problem caused by selection of weight function having poles on j.omega. axis is discussed. The evaluation for the resultant controller composed by H$_{\infty}$ synthesis is done through computer simulations. The effectiveness of the proposed method is compared to those of the conventional LQ synthesis method and a feedforward controller against roll eccentricity, which was already studied.ied.

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Digital Control of an Electromagnetic Levitation System (자기부상 시스템의 디지털 제어)

  • 이승욱;이건복
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.9
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    • pp.2312-2321
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    • 1994
  • In this work the dynamics of an electromagnetic levitation system is described by a set of three first order nonlinear ordinary differential equations. The objective is to design a digital linear controller which takes the inherent instability of the uncontrolled system and the disturbing force into consideration. The controller is made by employing digital linear quadratic(LQ) design methodology and the unknown state variables are estimated by the kalman filter. The state estimation is performed using not only an air gap sensor but also both an air gap sensor and a piezoelectric accelerometer. The design scheme resulted in a digital linear controller having good stability and performance robustness in spite of various modelling errors. In case of using both a gap sensor and an accelerometer for the state estimation, the control input was rather stable than that in a system with gap sensor only and the controller dealt with the disturbing force more effectively.

Linear Quadratic Controller Design of Insect-Mimicking Flapping Micro Aerial Vehicle (곤충모방 날갯짓 비행체의 LQ 제어기 설계)

  • Kim, Sungkeun;Kim, Inrae;Kim, Seungkeun;Suk, Jinyoung
    • Journal of Advanced Navigation Technology
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    • v.21 no.5
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    • pp.450-458
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    • 2017
  • This paper presents dynamic modelling and simulation study on attitude/altitude control of an insect-mimicking flapping micro aerial vehicle during hovering. Mathematical modelling consists of three parts: simplified flapping kinematics, flapping-wing aerodynamics, and six degree of freedom dynamics. Attitude stabilization is accomplished through linear quadratic regulator based on the linearized model of the time-varying nonlinear system, and altitude control is designed in the outer loop using PID control. The performance of the proposed controller is verified through numerical simulation where attitude stabilization and altitude control is done for hovering. In addition, it is confirmed that the attitude channel by periodic control is marginally stable against periodic pitching moment caused by flapping.

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.

An Adaptive Speed Control of a Diesel Engine by Means of the On-line Parameter Estimate (디젤기관의 on-line 파라미터 추정에 의한 적응 속도제어)

  • 유희한;하주식
    • Journal of Advanced Marine Engineering and Technology
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    • v.20 no.4
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    • pp.20-26
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    • 1996
  • Recently, for the speed control of a diesel engine, some methods using the modern control theory such as LQ control technique, or $\textit{H}_{\infty}$control theory etc., have been reported. However, most of speed controlers of a diesel engine ever developed are still using the PID control algorithm. And, as another approach to the speed control of a diesel engine, the authors proposed already a new method to adjust the parameters of the PID controller by a model matching method. In the previous paper, the authors confirmed that the proposed new method is superior to Ziegler & Nichols's method through the analysis of results of the digital simulations under the assumption that the parameters of a diesel engine are known exactly. But, actually, it is very difficult to find out the value of parameters of a diesel engine accurately. And the parameters of a diesel engine are changigng according to the operating condition of a diesel engine. So, in this paper, a method to estimate the parameters of the PID controller for the speed control of a diesel engine by means of the model matching method are proposed. Also, the digital simulations are carried out in cases either with or without measurement noise. And this paper confirms that the proposed method here is superior to Ziegler & Nichols's method through the analysis of the characteristics of indicial responses.

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LQG Controller Design for Active Suspensions using Evolution Strategy and Neural Network (진화전략과 신경회로망을 이용한 능동 현가장치 LQG 제어기 설계)

  • Cheon, Jong-Min;Kim, Jong-Moon;Park, Min-Kook;Kwon, Soon-Man
    • Proceedings of the KIEE Conference
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    • 2006.10c
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    • pp.266-268
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    • 2006
  • In this paper, we design a Linear Quadratic Gaussian(LQG) controller for active suspensions. We can improve the inherent suspension problem, trade-off between the ride quality and the suspension travel by selecting appropriate weights in the LQ-objective function. Using an optimization-algorithm, Evolution Strategy(ES), we find the proper control gains for selected frequencies, which have major effects on the vibrations of the vehicle's state variables. The frequencies and proper control gains are used for the neural network data. During a vehicle running, the trained on-line neural network is activated and provides the proper gains for non-trained frequencies.

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PID regulator design for robot manipulators (로봇 매니퓰레이터에 대한 비례.적분.미분 조절기 설계)

  • Nam, Heon-Seong;Kim, Cheon-joong;Lyou, Joon
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.647-651
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    • 1992
  • This paper presents a model-based control scheme for a robot manipulator to track a desired trajectory as closely as possible in spite of a wide range of manipulator motions and parameter uncertainties of links and payload. The scheme has two components: a nominal control and a variational control. The nominal control, generated from direct calculation of the manipulator dynamics along a desired trajectory, drives the manipulator to a neighborhood of the trajectory. Then a discrete-time PID regulator is designed based on the linearized dynamic model and Linear Quadratic(LQ) method, which generates the variational control that regulates perturbations in the vicinity of the desired trajectory.

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Optimal Waypoint Guidance for Unmanned Aerial Vehicles (UAVs) (무인기를 위한 최적 경로점 유도)

  • Ryoo, Chang-Kyung;Shin, Hyo-Sang;Tahk, Min-Jea
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.3
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    • pp.240-245
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    • 2005
  • In this paper, planar waypoint guidance synthesis for UAVs using the LQ optimal impact-angle-control guidance law is proposed. We prove that the energy-optimal control problem with the constraint of passing through the waypoints is equivalent to the problem of finding the optimal pass angles on each waypoint of the optimal impact-angle-control law. The optimal pass angles can be obtained as a numerical solution of the simple pass angle optimization problem that requires neither input parameterization nor constraints. The trajectory obtained by applying the optimal impact-angle-control law with these optimal pass angles becomes energy optimal.

LMI-based Design of Integral Sliding Mode Controllers for Time-Delay Systems (시간 지연 시스템을 위한 적분 슬라이딩 모드 제어기의 LMI 기반 설계)

  • Choi, Han-Ho
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.12
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    • pp.2480-2483
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    • 2009
  • This paper presents an LMI-based method to design a integral sliding mode controller for a class of uncertain time-delay systems. Using LMIs we derive an existence condition of a sliding surface guaranteeing the asymptotic stability of the sliding mode dynamics. And we give a switching feedback control law. Our method is a generalization of the previous integral sliding mode control design methods. Since our method is based on LMIs, it gives design flexibility for combining various useful design criteria that can be captured in the LMI-based formulation. We also give LMI existence conditions of sliding surfaces guaranteeing a-stability or LQ performance constraint. Finally, we give a numerical design example to show the effectiveness of the proposed method.

Design of an ILQ Looper Controller for Rot Strip Mills (열간사상압연기의 루퍼시스템의 ILQ 제어기 설계)

  • Kim, Seong-Bae;Hwang, Lee-Cheol
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.8
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    • pp.1680-1689
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    • 2002
  • This paper studies on the design of a looper control system for hot strip mill finisher using ILQ(Inverse Linear Quadratic optimal control) control method. The loopers are placed between each rolling stands and looper control plays an important role in regulating strip tension. The strip tension is controlled by raising and lowering the looper and by changing the speed of main work rolls. Firstly, it is shown from a nonlinear dynamic simulation that the strip tension is more influenced by difference of rolling speed than that of the looper angle. Secondly, a servo controller of the looper is designed using ILQ control method of which the characteristics and algorithms are simply introduced. Finally, the performances of the ILQ servo controller are compared with those of the LQI servo controller from computer simulation. In result, it is shown that the proposed ILQ servo controller has the better performances and robustness far parameter perturbations and disturbances than those of LQI controller.