• Title/Summary/Keyword: LQ control

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A new approach to the optimal control problem including trajectory sensitivity

  • Ishihara, Tadashi;Miyauchi, Takashi;Inooka, Hikaru
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.1049-1054
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    • 1990
  • We formulate optimal quadratic regulator problems with trajectory sensitivity terms as a optimization problem for a fixed controller structure. Using well-known techniques for parametric LQ problems, we give an algorithm to obtain suboptimal feedback gains by iterative solutions of two Lyapunov equations. A numerical example is given to illustrate the effectiveness of the proposed algorithm.

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Stability Margin of Discrete-Time LQR with Cross-Product Term in Performance Index (가격함수에 교차곱항이 포함된 이산시간 LQR의 안정성 여유)

  • 최재원;황태현
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.10
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    • pp.856-860
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    • 2002
  • The guaranteed stability margin of LQ optimal regulators with cross-product terms in a performance index is derived for the discrete-time case. In order to obtain the guaranteed stability margin, the singular value of the return difference matrix is examined. A numerical simulation is provided to demonstrate the validity of the derived stability margin.

Stabilization Controller Design of a Container Crane for High Productivity in Cargo Handling Using a RCGA (실수코딩유전알고리즘을 이용한 하역생산성 향상용 컨테이너 크레인의 안정화 제어기 설계)

  • Lee, Soo-Young;Ahn, Jong-Kap;Choi, Jae-Jun;Son, Jeong-Ki;Lee, Yun-Hyung;So, Myung-Ok
    • Journal of Navigation and Port Research
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    • v.31 no.6
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    • pp.515-521
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    • 2007
  • To increase the stevedore efficiency and service level at container terminal, it is essential to reduce working time of container crane which has a bottle neck in the logistic flow of container. The working speed and safety are required to be improved by controlling the movement of the trolley as quick as possible without big overshoot and any residual swing motion of container in the vicinity of target position. This paper presents optimal state feedback control using RCGAs in the case of existing constrained conditions

Effect of Expansion of Long-Term Care Hospitals on Elderly Hospitalization in Acute Care Hospitals (요양병원 확충이 급성기병원 노인입원에 미치는 영향)

  • Kim, Dong-Hwan;Lee, Tae-Jin
    • Health Policy and Management
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    • v.19 no.1
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    • pp.81-96
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    • 2009
  • The expansion of long-term care hospitals (LTCHs) is expected to contribute to meeting the long-term care needs of the elderly with chronic diseases in a rapidly aging society. It is also expected to increase efficiency of health resource use and decrease elderly health expenditures by transferring patients from acute care hospitals (ACHs) to LTCHs. This study aimed to empirically examine how the expansion of LTCHs had influences on the length of hospitalization of the elderly in ACHs. Panel regression analysis was employed as an analytic tool using data of the National Health Insurance and the National Statistical Office from 2002 to 2006. The expansion of LTCHs was measured as location quotient (LQ) of LTCHs, denoting the share of LTCHs in a large city or province relative to the share of LTCHs at the national level. In addition, per capita GRDP (gross regional domestic product) and the proportion of population over 65 were included as control variables. The main findings are as follows. First, it was observed that LQ of LTCHs showed a statistically significant negative association with the length of hospitalization of the elderly in ACHs. Second, the negative correlation was evident among general hospitals with over 100 beds while it was not among hospitals with less than 100 beds. Third, LQ of LTCHs had more influences among the elderly over 85. In conclusion, the expansion of LTCHs seems to contribute to decrease in the inpatient cost of the elderly in ACHs and to increase efficiency in the utilization of health resources.

PREVIEW CONTROL FOR EDGE-FOLLOWING USING ROBOT FORCE CONTROL

  • Yong, Boojoong
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.8 no.1
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    • pp.100-111
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    • 1999
  • This paper resents a discrete-time model of an edge-following with accommodation force control. Since an irregular workpiece shape causes disturbances to the system while following an edge, the use of preview control is proposed to improve the system performance. The preview control employs future information of the workpiece contour shape, and it can be developed by LQ-optimal control principles. This study provides a general method how to utilize the local future information obtained by the finite preview to minimize an optimality criterion evaluated over a problem duration. The force controller is designed based on the preview control scheme, and then implemented on a VME-based computer. Experimental results using an industrial robot show that the preview control system achieves faster tracking speed and better force regulation than the conventional nonpreview control system.

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Speed, Depth and Steering Control of Underwater Vehicles with Four Stem Thrusters - Simulation and Experimental Results (네 대의 주 추진기를 이용한 무인잠수정의 속도, 심도 및 방위각 제어 - 시뮬레이션 및 실험)

  • JUN BONG-HUAN;LEE PAN-MOOK;LI JI-HONG;HONG SEOK-WON;LEE JIHONG
    • Journal of Ocean Engineering and Technology
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    • v.19 no.2 s.63
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    • pp.67-73
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    • 2005
  • This paper describes depth, heading and speed control of an underwater vehicle that has four stern thrusters of which forces are coupled in the diving and, steering motion, as well as the speed of the vehicle. The optimal linear quadratic controller is designed based on a linearized- state space model, developed by combining the dynamic equations of speed, steering and diving motion. The designed controller gives provides an optimal thrust distribution, minimizing the given performance index to control speed, depth and heading simultaneously. To validate the performance of the controller, a simulation and tank-test are carried out with DUSAUV (Dual Use Semi-Autonomous Underwater Vehicle), developed by KORDI as a test-bed for testing new underwater technologies. Optimal gains of the controller are tuned, using a computer simulation environment with a nonlinear 6-DOF numerical DUSAUV model, developed by PMM (Planner Motion Mechanism) test. To verify the performance of the presented controller in experiment, a tank-test with DUSAUV is carried out in the ocean engineering basin in KORDI. The experimental results are also compared with the simulation results to investigate the accordance of the numerical and the real mode.

Gain Scheduling for Hot Strip Mill

  • Park, Sung-Han;Ahn, Byoung-Joon;Park, Juy-Yong;Lee, Dong-Wook;Lee, Man-Hyung
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.129.4-129
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    • 2001
  • The looper control of hot strip finishing mill is one of the most important control item in hot strip rolling mill process. Loopers are placed between finishing mill stands and control the mass flow of the two stands. Another important action of the looper is to control the strip tension which influences on the width of the strip. So it is very important to control both the looper angle and the strip tension simultaneously but the looper angle and the strip tension are strongly interacted by each other. There are many control schemes such as conventional, non-interactive, LQ(Linear Quadratic), Hinf and ILQ(Inverse Linear Quadratic), Adaptive(gain scheduling) control in the looper control system. In this paper, we present the modeling for the looper of a hot strip finishing mill to control the tension of the strip and suggest another control method.

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TENSION CONTROL SYSTEM FOR HOT STRIP MILLS (열간 압연 공정에서의 장력 제어시스템)

  • Park, Sung-Han;Ahn, Byoung-Joon;Lee, Man-Hyung
    • Proceedings of the KIEE Conference
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    • 2001.07d
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    • pp.2267-2269
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    • 2001
  • The looper control of hot strip finishing mill is one of the most important control item in hot strip rolling mill process. Loopers are placed between finishing mill stands and control the mass flow of the two stands. Another important action of the looper is to control the strip tension which influences on the width of the strip. So it is very important to control both the looper angle and the strip tension simultaneously but the looper angle and the strip tension are strongly interacted by each other. There are many control schemes such as conventional, non-interactive, LQ, LQG/LTR, and ILQ control in the looper control system. In this paper, we present the modeling for the looper of a hot strip finishing mill to control the tension of the strip and suggest the non-interactive(cross) and LQG/LTR control method.

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Comparison among Active Roll Controllers for Rollover Prevention and Ride Comfort Enhancement (승차감 향상과 차량 전복 방지를 위한 능동 롤 제어기의 성능 비교)

  • Yim, Seongjin
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.8
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    • pp.828-834
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    • 2014
  • This paper presents a comparison among three types of approaches to an ARC (Active Roll Control) with an AARB(Active Anti-Roll Bar) for a vehicle system. Lateral acceleration and road profile are considered as disturbance. The ARC is designed with an LQ SOF (Linear Quadratic Static Output Feedback) control, $H_{\infty}$ control and SMC (Sliding Mode Control). These approaches are compared in terms of rollover prevention and ride comfort. For comparison, Bode plot analysis based on linear model and frequency response analysis based on CarSim simulation are performed.

A Study on the Design of a Looper Strip Controller and its Robustness for Hot Strip Mills Using ILQ Control (역최적제어(ILQ)를 이용한 열간압연시스템의 루퍼 장력제어기 설계 및 견실성 연구)

  • Hwang, I-Cheol;Kim, Seong-Bae
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.93-98
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    • 2001
  • This paper studies on the design of an ILQ(Inverse Linear Quadratic optimal control) looper control system for hot strip mills. The looper which is placed between each stand plays an important role in controlling strip width by regulating strip tension variation generated from the velocity difference of main work rolls. The mathematical model for looper is firstly obtained by Taylor's linearization of nonlinear differential equations, where it is given as a linear and time invariant state-space equation. Secondly, a looper servo controller is designed by ILQ control algorithm, which is an inverse problem of LQ(Linear Quadratic optimal control) control. By tunning control gain arbitration parameters and time constants, it is shown that the ILQ looper servo controller has the performance that makes well to follow desired trajectories of both strip tension and looper angle.

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