• Title/Summary/Keyword: LQR control

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Overshoot design method of LQ-PID controller using convex optimization (블록형 최적화 기법에 의한 LQ-PID제어기의 오버슈트 설계방법)

  • Kim, Dae-Kwang;Suh, Byung-Suhl
    • Proceedings of the KIEE Conference
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    • 2002.11c
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    • pp.96-99
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    • 2002
  • This paper proposes a method to select the overshoot design parameters of the LQ-PID controller by using convex optimization in order to satisfy the design specifications. The tuning parameters of LQ-PID controller are determinated by the relationships between the design parameter to control both the overshoot and the settling time and the weighting factors Q and R in LQR.

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Optimal control of DSTATCOM for voltage sag compensation (EMTDC를 이용한 배전 선로 전압 보상을 위한 병렬 보상기의 최적 제어기 구현)

  • Jung, Soo-Young;Moon, Seung-Il;Kim, Tae-Hyun;Han, Byung-Moon
    • Proceedings of the KIEE Conference
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    • 2001.11b
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    • pp.320-322
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    • 2001
  • 본 논문에서는 전압 sag보상을 하기 위한 DSTATCOM 제어기를 설계하고 EMTDC/PSCAD로 확인하였다. DSTATCOM의 전류성분을 d,q분해 해석을 통하여 상태방정식을 유도하고 부하모델과 네트워크의 제약조건을 결합 모델을 제시하였다. 1선 지락 사고시 PI 제어시보다 LQR 제어의 응답 특성이 우수함을 검증하고 전압 sag가 개선됨을 보였다.

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Angle and Position Control of Inverted Pendulum on a Cart Using Partial Feedback Linearization

  • Yeom, Dong-Hae;Choi, Jin-Young
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.1382-1386
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    • 2003
  • In this paper, we propose a controller for the position of a cart and the angle of a pendulum. To achieve both purposes simultaneously, we divide the system into the dominant subsystem and the dominated one after partial feedback linearization. The proposed controller is composed of a nonlinear controller stabilizing the dominant subsystem and a linear quadratic controller. Using the proposed controller, the controllable region is increased by the nonlinear control part and the control input minimized by the linear control part (LQR).

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Vibration Control of Flexible SCARA Robots (유연한 수평 다관절 로봇의 진동제어)

  • 임승철;용대중
    • Journal of KSNVE
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    • v.7 no.3
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    • pp.387-392
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    • 1997
  • This paper concerns a SCARA robot with the flexible forearm linked to the rigid upper arm. The equations of motion are derived by the Lagrangian mechanics. For controller design, the perturbation approach is taken to separate the original equations of motion into linear equations describing small perturbed motions and nonlinear equations describing purely rigid motion of the robot. To effect the desired payload motion, open loop control inputs are determined based on the inverse dynamics of the latter. In order to reduce the positional error during maneuver, an active vibration suppression is done. To this end, a feedback control is designed for robustness against disturbance on the basis of the linear equations and the LQR theory modified to have a prescribed degree of stability. The proposed control scheme shows satisfactory performances in experiments as well as in numerical simulations.

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Design of a Mixed $H_2/H_{\infty}$ PID Controller for Speed Control of Brushless DC Motor by Genetic Algorithm (유전 알고리즘에 의한 브러시리스 DC모터의 속도 제어용 혼합 $H_2/H_{\infty}$ PID제어기 설계)

  • Duy Vo Hoang;Phuong Nguyen Thanh;Kim Hak-Kyeong;Kim Sang-Bong
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2006.06a
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    • pp.77-78
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    • 2006
  • A mixed method between $H_2\;and\;H_{\infty}$ control are widely applied to systems which has parameter perturbation and uncertain model to obtain an optimal robust controller. Brushless Direct Current (BLDC) motors are widely used for high performance control applications. Conventional PID controller only provides satisfactory performance for set-point regulation. However, with the presence of nonlinearities, uncertainties and perturbations in the system, conventional PID is not sufficient to achieve an optimal robust controller. This paper presents an approach to ease designing a Mixed $H_2/H_{\infty}$ PID controller for controlling speed of Brushless DC motors and the genetic algorithm is used to solve the optimized problems. Numerical results are shown to prove that the performance in the proposed controller is better than that in the optimal PID controller using LQR approach.

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A Study on Base Isolation Performance of MR Dampers Using Clipped-Optimal Control (Clipped-Optimal Control을 사용한 MR 감쇠기의 면진성능에 관한 연구)

  • 고봉준;이종세
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.04a
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    • pp.529-536
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    • 2003
  • As large structures such as high-rise buildings and cable-stayed bridges become lighter and more flexible, the necessity of structural control for reducing excessive displacement and acceleration due to seismic excitation is increased. As a method to minimize seismic damages, various base isolation systems are adopted or considered for adoption. In this study, the seismic performance of MR dampers are studied and compared with that of the NZ system as a base isolation system. As the control algorithm of the MR damper, the clipped-optimal control(applied LQR method) is employed. A five-story building is modeled and the seismic performance of the two systems subjected to three different earthquakes is compared. The results show that the MR damper system can provide superior protection than the NZ system for a wide range of ground motions.

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Explorized Policy Iteration For Continuous-Time Linear Systems (연속시간 선형시스템에 대한 탐색화된 정책반복법)

  • Lee, Jae-Young;Chun, Tae-Yoon;Choi, Yoon-Ho;Park, Jin-Bae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.3
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    • pp.451-458
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    • 2012
  • This paper addresses the problem that policy iteration (PI) for continuous-time (CT) systems requires explorations of the state space which is known as persistency of excitation in adaptive control community, and as a result, proposes a PI scheme explorized by an additional probing signal to solve the addressed problem. The proposed PI method efficiently finds in online fashion the related CT linear quadratic (LQ) optimal control without knowing the system matrix A, and guarantees the stability and convergence to the LQ optimal control, which is proven in this paper in the presence of the probing signal. A design method for the probing signal is also presented to balance the exploration of the state space and the control performance. Finally, several simulation results are provided to verify the effectiveness of the proposed explorized PI method.

Design of an Active Damping Layer Using Topology Optimization (위상 최적화를 이용한 능동 감쇠층의 설계)

  • 김태우;김지환
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.11a
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    • pp.660-664
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    • 2003
  • The optimal thickness distribution of an active damping layer is sought so that it satisfies a certain constraint on the dynamic performance of a system minimizing control efforts. To obtain a topologically optimized configuration, which includes size and shape optimization, thickness of the active damping layer is interpolated using linear functions. With the control energy as the objective function to be minimized, the state error energy is introduced as the dynamic performance criterion for the system and used lot a constraint. The optimal control gains are evaluated from LQR simultaneously as the optimization of the layer position proceeds. From numerical simulation, the topologically optimized distribution of the active damping layer shows the same dynamic performance and cost as the Idly covered counterpart, which is optimized only in terms of control gains, with less amount of the layer.

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Decentralized Control of Building Structures Installed with Semi-active MR Damper (준능동 MR 댐퍼가 설치된 건축 구조물의 분산제어)

  • Youn, Kyung-Jo;Lee, Sang-Hyun;Min, Kyung-Won;Lee, Sung-Kyung
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.11a
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    • pp.127-132
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    • 2007
  • In this paper, to overcome local damages of structures, an uncertainty of structural model, installing sensors of structures, and economics of building system, decentralized semi-active magnetorheological(MR) damper using the displacement or velocity transferred to the response of floor installed damper is proposed. Relative magnitude between the control force of dampers and the story shear force is difined as design variables and the performance indices response spectra analysis through nonlinear time history analysis excited by seismic loads is performed according to this design variables. And the performance of this decentralized MR damper is compared with previous centralized LQR control algorithm using 3-stories benchmark building structure excited by El Centro (1940, N.S) in order to evaluate the application of building structures.

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Design of an Adaptive Robust Controller Based on Explorized Policy Iteration for the Stabilization of Multimachine Power Systems (다기 전력 시스템의 안정화를 위한 탐색화된 정책 반복법 기반 적응형 강인 제어기 설계)

  • Chun, Tae Yoon;Park, Jin Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.11
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    • pp.1118-1124
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    • 2014
  • This paper proposes a novel controller design scheme for multimachine power systems based on the explorized policy iteration. Power systems have several uncertainties on system dynamics due to the various effects of interconnections between generators. To solve this problem, the proposed method solves the LQR (Linear Quadratic Regulation) problem of isolated subsystems without the knowledge of a system matrix and the interconnection parameters of multimachine power systems. By selecting the proper performance indices, it guarantees the stability and convergence of the LQ optimal control. To implement the proposed scheme, the least squares based online method is also investigated in terms of PE (Persistency of Excitation), interconnection parameters and exploration signals. Finally, the performance and effectiveness of the proposed algorithm are demonstrated by numerical simulations of three-machine power systems with governor controllers.