• Title/Summary/Keyword: LQ problem

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LQ control by linear model of Inverted Pendulum Robot for Robust Human Tracking (도립형 로봇의 강건한 인간추적을 위한 선형화 모델기반 LQ제어)

  • Jin, Taeseok
    • Journal of the Korean Society of Industry Convergence
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    • v.23 no.1
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    • pp.49-55
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    • 2020
  • This paper presents the system modeling, analysis, and controller design and implementation with a inverted pendulum system in order to test Linear Quadratic control based robust algorithm for inverted pendulum robot. The balancing of an inverted pendulum robot by moving pendulum robot like as 'segway' along a horizontal track is a classic problem in the area of control. This paper will describe two methods to swing a pendulum attached to a cart from an initial downwards position to an upright position and maintain that state. The results of real experiment show that the proposed control system has superior performance for following a reference command at certain initial conditions.

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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Guaranteed Performance Control of Uncertain Linear Systems via Constant Gain State Feedback (고정이득 상태귀환을 통한 불확정 선형 시스템의 성능보장제어)

  • 이정문;최계근
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.24 no.6
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    • pp.956-960
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    • 1987
  • This paper investigates the control problem which is specified by an uncertain linear system and a linear quadratic performance index. Only the size of parameter uncertainty is assumed to be given instead of its statistics. In addition, a mathing condition which constrains the system structure is assumed to be satisfied. The control law can be obtained by solving an LQ optimal control problem for a nominal system.

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Nonlinear Control of Residual Say of a Container Crane in the Perspective of Controlling an Underactuated System (불충분한 작동기를 가진 매니퓰레이터의 비선형제어)

  • 김영민;홍금식;이교일
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.249-252
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    • 1997
  • In this paper the sway-control problem of a container crane is investigated in the perspective of controlling an underactuated mechanical system. For fast loading/unloading of containers from the ship, quick suppression of the remaining swing motion of the container at the end of each trolley stroke is crucial. Known nonlinearities are fully incorporated by feedback linearization. Robustness is enhanced by variable structure control. Compared with the linear LQ control, much better performance can be obtained.

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A study on the stabilizing control of uncertain system with optimal control (최적제어이론을 이용한 불확실한 시스템의 제어 기법 연구)

  • 한형석;이장규
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.55-59
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    • 1991
  • This paper presents a method for designing a full state feedback linear static control law. This will stabilize a given linear uncertain system and also guarantee the performance of the system. The uncertain systems are described by state equation which contains uncertain parameters in system and input distribution matrices. The method is based on the guaranteed cost control of Chang and Peng(1972). The controller gain can be obtained by the solution of a algebraic Riccati equation in which the input weighting matrices depend on the uncertainty bounds. The algebraic Riecati equation in this paper is same as that of weighted LQ regulator problem.

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Analysis to design optimal controller for the gun servo system with known firing disturbance (사격 외란을 받는 포구동장치의 최적제어기 구성에 관한 연구)

  • 김광태;최중락;김영수
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.639-642
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    • 1988
  • In this paper, the problem of regulation in the presence of a known firing disturbance is considered. We show how one can apply a disturbance-utilizing control(DUC) theory to a actual gun servo model. Applied disturbance-utilizing control theory is established by combining LQ regulator and reduced order observer in the discrete time domain. To see the performance of the applied method, computer simulation results are given.

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A robust generalized predictive controls

  • Kwon, Wook-Hyun;Noh, Seonbong
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10b
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    • pp.203-207
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    • 1992
  • In this paper, a new GPC(Generalized Predictive Control) algorithm which is robust to disturbances isproposed. This controller minimizes the LQ cost function when the disturbance maximizes this cost function. The solution is obtained from the min-max problem which can be solved by differential game theory and has the non-recursive form which does not use the Riccati equation. Its another solution for state space models is investigated.

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LQ control by linear model of Inverted Pendulum for Robust Control of Robotic Vacuum Sweeping Machine (연마기 로봇의 강인제어를 위한 역진자의 선형화 모델을 통한 LQ제어)

  • Kim, Soo-Young;Lee, Jae-Duck;Jin, Tae-Seok
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2012.05a
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    • pp.529-532
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    • 2012
  • This paper presents the system modeling, analysis, and controller design and implementation with a inverted pendulum system in order to test robust algorithm for sweeping machine. The balancing of an inverted pendulum by moving pendulum robot like as 'segway' along a horizontal track is a classic problem in the area of control. This paper will describe two methods to swing a pendulum attached to a cart from an initial downwards position to an upright position and maintain that state. The results of real experiment show that the proposed control system has superior performance for following a reference command at certain initial conditions.

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Design of GA-LQ Controller in SVC for Power System Stability Improvement (전력시스템 안정도 향상을 위한 SVC용 GA-LQ 제어기 설계)

  • Hur, D.R.;Park, I.P.;Chung, M.K.;Chung, H.H.;Ahn, B.C.;Kim, H.J.
    • Proceedings of the KIEE Conference
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    • 2002.07a
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    • pp.226-228
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    • 2002
  • This paper presents a new control approach for designing a coordinated controller for static VAR compensator system. A SVC constructed by a Fixed Capacitor and a Thyristor Controlled Reactor is designed and implemented to improve the damping of a synchronous generator, as well as controlling the system voltage. A design of linear quadratic controller based on optimal controller depends on choosing weighting matrices. A coordinated optimal controller is achieved by minimizing a quadratic performance index using dynamic programming techniques. The selection of weighting matrices is usually carried out by trial and error which is not a trivial problem. We proposed a efficient method using GA of finding weighting matrices for optimal control law. Thus, we prove the usefulness of proposed method to improve the stability of single machine-infinite bus with SVC system.

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Full-Envelope Controller Switching Scheme Using Bumpless Transfer Implementation Algorithm (무충돌 전환 구현 알고리즘을 사용한 전비행영역 제어기 교체법)

  • Kim, Tae-Shin;Kwon, Oh-Kyu
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.6
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    • pp.574-580
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    • 2008
  • This paper has proposed a controller switching scheme for full-envelope aircraft control using the bumpless transfer implementation algorithm developed recently. This switching scheme has combined by proper rules the common existing method which switches the controller according to attitude and mach number of the aircraft with an optimization method which uses the cost function relating to bump phenomenon by means of controller switching criterion. This paper exemplifies the control performance improvement via simulations applied to a high performance aircraft benchmark problem in a wide operating range to test the proposed controller switching scheme.