• Title/Summary/Keyword: LQ제어

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Inverse Optimal Problem for Homing Guidance with Angular Constraint (충돌각 제어 호밍유도법칙의 역최적 문제)

  • Lee, Jin-Ik;Lee, Yong-In
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.35 no.5
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    • pp.412-418
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    • 2007
  • An inverse optimal problem for homing guidance with angular constraint is addressed. The gains of BPN(Biased PN) are investigated by duality analysis related to the weighting matrices of the performance index in the LQ control problem. Moreover, the criteria for the existence of optimal gains are derived from the generalized Riccati equation. Based on the conditions we achieve the gain set of BPN to be optimal solution to the LQ problem with terminal constraints. To validate and demonstrate the proposed approach 3-DOF simulations are carried out.

Tuning of LQ-PID Controller-Time Domain Approach (LQ-PID 제어기 동조-시간영역에서의 접근)

  • Yang Ji Hoon;Suh Byung Suhl
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.41 no.1
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    • pp.17-24
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    • 2004
  • This paper proposes an optimal robust LQ-PID controller design method for the second order systems to satisfy the design specifications in time domain. The tuning parameters of LQ-PID controller are determinated by the relationships between the design parameters of the overshoot and the settling time which are design specifications in time domain, and the weighting factors Q and R in LQR. we can achieve the performance-robustness in time domain as well as the stability-robustness.

Guaranteed Stability Margins of the Discrete-Time LQ Optimal Regulator for a Performance Index with Cross-Product Terms

  • Fang, Tae-Hyun;Park, Jae-Weon
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.107.4-107
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    • 2001
  • In this paper, the guaranteed stability margins of LQ optimal regulators for a performance index with cross-product terms are suggested in the discrete-time case. An example for the LQ optimal regulator of an inverted pendulum system is given to demonstrate the validity of the suggested stability margins.

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A Study on the Effectiveness of ILQ Algorithm in Active Structural Control (건축 구조물의 능동 제진에 있어 ILQ 제어 알고리즘의 유용성에 관한 연구)

  • Lee, Jin-Ho;Hwang, I-Cheol
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.140-145
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    • 2001
  • Various control algorithms are available to suppress the vibration of a system subjected to disturbances. LQ algorithm is simple and easy to implement the hardwares, but it lacks robustness for uncertainties and often causes difficulty in determining the weighting matrices. This study focuses on the effectiveness ILQ(Inverse Linear Quadratic optimal control) algorithm as the alternative to LQ applied to control the vibration of a building under the seismic excitation. The building is of moment resisting steel frames and assumed to behave within the elastic range. The brief overview of LQ and ILQ algorithms is introduced, and the displacement responses of the structure using ILQ algorithm are compared with those obtained from LQ control. The magnitude of control forces are also determined and compared for both LQ and ILQ algorithm.

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A New Anti-windup Method Using the Linear Quadratic Observer (LQ관측기를 사용한 새로운 누적방지 기법)

  • Kim, Tae-Shin;Yang, Ji-Hyuk;Kwon, Oh-Kyu
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.2
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    • pp.134-139
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    • 2010
  • In order to overcome some problems of existing anti-windup methods, this paper defines LQ (Linear Quadratic) observer and proposes a new anti-windup method using the LQ observer. LQ observer is derived by linear quadratic optimization in order to calculate controller states, which make the controller outputs equal to the plant inputs. And we propose an algorithm so that it can be implemented by a digital controller easily. The relationship between the design parameters and the anti-windup performance is shown via some numerical examples, which cover the cases with the anti-windup method using LQ observer designed and the case without it. Finally, the anti-windup performance of the proposed method is exemplified via comparison with the existing model-based conditioning scheme method[4].

A Study on the Performance Comparison of Standard $H_{\infty}$ Control and LQ Control (표준 $H_{\infty}$ 제어와 LQ제어의 성능 비교 연구)

  • Roh, Tae-Hoon;Park, Jin-Bae;Moon, Young-Hyun;Lee, Tae-Shik
    • Proceedings of the KIEE Conference
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    • 1993.07a
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    • pp.331-334
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    • 1993
  • It is a standard problem that designs a controller to minimize the $H_{\infty}$-norm of a given plant. By reducing a standard problem to a model-matching problem, we can obtain all the parameters which consist of a controller. After presenting a practical model and applying it to a tracking model, we design an $H_{\infty}$ controller and an LQ controller to concrete that $H_{\infty}$ control theory is far more robust than LQ control theory. And we show the advantage of an $H_{\infty}$ controller by obtaining a desired Bode diagram and comparing it with that of an LQ controller.

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OPTIMAL LQ CONTROL OF BUCK SWITCHING REGULATOR (스위칭 레귤레이터의 최적 LQ 제어)

  • Yoo, K.S.;Kwon, O.K.
    • Proceedings of the KIEE Conference
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    • 1989.11a
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    • pp.401-404
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    • 1989
  • In this paper an optimal LQ controller is designed for the output characteristic improvement of buck-type switching regulators. State-space averaging method is adopted for modelling of switching regulators. The LQ controller is derived via an unified operator form for the application to both continuous-time and discrete-time control systems. Some design parameters of the LQ controller are chosen through a computer simulation and the LQ controller is implemented by analog circuits.

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Robust LQ control of magnetically levitation systems with a combined lift and guidance using loop-shaping techniques (루프형성 기법을 이용한 편심배치방식 자기부상 시스템의 강인 LQ 제어)

  • 박전수;김종식
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.747-753
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    • 1992
  • The modeling and control design schemes are developed for maglev systems with a combined lift and guidance. First, bond graph techniques are applied for modeling these multi-energy domain systems more logically and systematically. And the stability loop via pole placement and the performance loop via loop-shaping LQ control are designed. The suggested controller satisfies the required characteristics of stability and performance simultaneously. Finally, the robustness of the synthesized maglev control system is evaluated for the variations of air gap and vehicle mass through computer simulation.

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Design of a Container Crane Controller Using the LQ Control Technique (LQ 제어 기법을 이용한 컨테이너 크레인의 제어기 설계)

  • 손정기;최재준;소명옥;남택근;권순재
    • Journal of Advanced Marine Engineering and Technology
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    • v.26 no.5
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    • pp.544-553
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    • 2002
  • The recent amount of container freight continuously has been increased, but the low efficiency of container crane causes jamming frequently in transportation and cargo handling at port. It is required that the working velocity and safety are improved by control of moving the trolley as quick as possible without large overshoot and any residual swing motion of container at the destination. In this paper, a LQ controller for a container crane is proposed to accomplish an optimal design of improved control system for minimizing the swing motion at destination. In this scheme a mathematical model for the system is obtained in state space form. Finally, the effectiveness of the proposed controller is verified through computer simulation.

A LQ-PID Controller Tuning for TITO System (TITO 시스템의 LQ-PID 제어기 동조)

  • Lee, Dong-Bae;Suh, Byung-Suhl
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.9C
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    • pp.1252-1257
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    • 2004
  • This paper presents a decentralized LQ-PID controller for the TITO system which satisfies the performance of good command following, disturbance rejection, and sensor noise reduction that is design specifications in the frequency domain The procedure is developed by establishing the relationship between the closed-loop state equations including the decentralized PID tuning parameters and the closed-loop state equations of LQR and by selecting the weighting factors Q and R of the cost function in order to satisfy the design specifications in the frequency domain.