• Title/Summary/Keyword: LQR Controller

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Comparison Among Yaw and Roll Motion Controllers for Rollover Prevention (차량 전복 방지를 위한 롤 및 요 운동 제어기의 성능 비교)

  • Yim, Seongjin
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.7
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    • pp.701-705
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    • 2014
  • This article presents a comparison among several yaw and roll motion controllers for vehicle rollover prevention. In the previous research, yaw and roll motion controllers can be independently designed for rollover prevention. Following this idea, several yaw and roll motion controllers are designed and compared in terms of rollover prevention. For the yaw motion control, PID, LQR, SMC (Sliding Mode Control) and TDC (Time-Delay Control) are adopted. For the roll motion control, LQR, LQ SOF (Static Output Feedback) control, PID, and SMC are adopted. To compare the performance of each controller, simulation is performed on a vehicle simulation package, CarSim$^{(R)}$. From simulation, TDC and LQ SOF are the best for yaw and roll motion control, respectively.

Control of a Rotary Double Inverted Pendulum using LQR Control Algorithm (LQR 제어 알고리즘을 이용한 원운동형 2축 도립 진자의 제어)

  • Hwang, Eon-Du;Park, Min-Ho;Lee, Sang-Hyuk
    • Proceedings of the KIEE Conference
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    • 2001.07d
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    • pp.2240-2242
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    • 2001
  • A rotary double inverted pendulum, the nonlinear system has a regulation problem. In this paper, we linearize the nonlinear system at the upright equilibrium position. The linearized system can be expressed in state space. To maintain the upright position, we design a feedback controller using LQR(Linear Quadratic Regulator) algorithm. Then we simulate the system with third-order Adams Bashforth Moulton Method. The simulated result shows that the applied algorithm is effective for the regulation problem.

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Design of Optimized Fuzzy PD Cascade Controller Based on Parallel Genetic Algorithms (병렬유전자 알고리즘 기반 최적 Fuzzy PD Cascade 제어기의 설계)

  • Jung, Seung-Hyun;Choi, Jeoung-Nae;Oh, Sung-Kwun;Kim, Hyun-Ki
    • Journal of the Korean Institute of Intelligent Systems
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    • v.19 no.3
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    • pp.329-336
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    • 2009
  • In this paper, we propose the design of an optimized fuzzy cascade controller for rotary inverted pendulum system by means of Hierarchical Fair Competition-based Genetic Algorithms (HFCGA) which is a kind of parallel genetic algorithms. The rotary inverted pendulum system is the system for controlling the inclination of pendulum axis through the adjustment of rotating arm. The control objective of the system is to control the position of rotating arm and to make the pendulum maintain the unstable equilibrium point of vertical position. To control rotary inverted pendulum system, we designs the fuzzy cascade controller scheme consisted of two fuzzy controllers and optimizes the parameters of the designed controller by means of HFCGA. A comparative analysis between the simulation and the practical experiment demonstrates that the proposed HFCGA based fuzzy cascade controller leads to superb performance in comparison with the conventional LQR controller as well as HFCGA based PD cascade controller.

Design of satellite attitude control system under periodic-type disturbances (주기적 형태의 외란이 가해지는 위성체에 대한 선형최적제어기 설계)

  • 김희섭;김유단
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1326-1329
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    • 1997
  • In designing the controller by changing the weighting matrix for the pirpose of satisfying constraints, the physical meaning of weighting matrix may disapperar and the system may not yield best performance because operation condition such as periodic disturbance was not considered. In this paper, the weighting matrix is fixed and controller is designed to minimize the new performance index to reduce the effects of periodic-type disturbances. This method is applied to design the satellite controller to verify the effetiveness.

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Design of Attitude Estimator and Controller for Multi-Purpose Satellite under Torque Disturbance (Torque Disturbance를 받는 다목적 위성의 자세추정기 및 제어기 설계)

  • Kim, Min-Sung;Choi, Wan-Shik;Oh, Hwa-Suk;Heo, Hoon
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1996.04a
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    • pp.113-118
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    • 1996
  • Nonlinear Attitude Dynamic Equation for rigid-body satellite is derived and linearzed. Estimator using Kalman filter and controller are designed. Controller using LQR technique implemented on satellite under torque disturbance shows much better performance than those by using of Bang-Bang technique.

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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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LQ-PID Controller Tuning for a Second-Order System with Time-Delay (시간지연을 갖는 2차 시스템의 LQ-PID제어기 동조)

  • Park, Taek-Seon;Suh, Byung-Suhl
    • Proceedings of the KIEE Conference
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    • 2002.11c
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    • pp.67-70
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    • 2002
  • This paper presents an optimal robust LQ-PID controller design method for a second order system with time-delay to meet design specifications. By LQR formulation of the second order system with time-delay, tuning parameters of PID controller are related by the weighting factors Q and R of cost function. The selection of the weighting factors Q and R are chosen to satisfy such the design specifications as overshoot and settling time.

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Sliding Mode Control for Time-delay System using Virtual State (가상 상태를 이용한 시간 지연 시스템의 슬라이딩 모드 제어)

  • 송영삼;권성하;박승규;오도창;정은태
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.341-341
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    • 2000
  • This paper presents a sliding mode control(SMC) design method for single input linear systems with uncertainties and time delay in the state. We define a sliding surface for the augmented system with a virtual state which is defined from the nominal system. We make a virtual state from optimal control input using LOR(Linear Quadratic Regulator) and the states of the nominal system. We construct a controller that combines SMC with optimal controller. The proposed sliding mode controller stabilizes on the overall closed-loop system.

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Dynamic Speed Control of a Unicycle Robot (외바퀴 로봇의 동적 속도 제어)

  • Han, In-Woo;Hwang, Jong-Myung;Han, Seong-Ik;Lee, Jangmyung
    • Journal of Institute of Control, Robotics and Systems
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    • v.19 no.1
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    • pp.1-9
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    • 2013
  • This paper presents a new control algorithm for dynamic control of a unicycle robot. The unicycle robot motion consists of a pitch that is controlled by an in-wheel motor and a roll that is controlled by a reaction wheel pendulum. The unicycle robot doesn't have any actuator for a yaw axis control, which makes the derivation of the dynamics relatively simple. The Euler-Lagrange equation is applied to derive the dynamic equations of the unicycle robot to implement the dynamic speed control of the unicycle robot. To achieve the real time speed control of the unicycle robot, the sliding mode control and LQ regulator are utilized to guarantee the stability while maintaining the desired speed tracking performance. In the roll controller, the sigmoid-function based sliding mode controller has been adopted to minimize the chattering by the switching function. The LQR controller has been implemented for the pitch control to drive the unicycle robot to follow the desired velocity trajectory in real time using the state variables of pitch angle, angular velocity, angle and angular velocity of the wheel. The control performance of the two control systems form a single dynamic model has been demonstrated by the real experiments.

A Simultaneous Perturbation Stochastic Approximation (SPSA)-Based Model Approximation and its Application for Power System Stabilizers

  • Ko, Hee-Sang;Lee, Kwang-Y.;Kim, Ho-Chan
    • International Journal of Control, Automation, and Systems
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    • v.6 no.4
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    • pp.506-514
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    • 2008
  • This paper presents an intelligent model; named as free model, approach for a closed-loop system identification using input and output data and its application to design a power system stabilizer (PSS). The free model concept is introduced as an alternative intelligent system technique to design a controller for such dynamic system, which is complex, difficult to know, or unknown, with input and output data only, and it does not require the detail knowledge of mathematical model for the system. In the free model, the data used has incremental forms using backward difference operators. The parameters of the free model can be obtained by simultaneous perturbation stochastic approximation (SPSA) method. A linear transformation is introduced to convert the free model into a linear model so that a conventional linear controller design method can be applied. In this paper, the feasibility of the proposed method is demonstrated in a one-machine infinite bus power system. The linear quadratic regulator (LQR) method is applied to the free model to design a PSS for the system, and compared with the conventional PSS. The proposed SPSA-based LQR controller is robust in different loading conditions and system failures such as the outage of a major transmission line or a three phase to ground fault which causes the change of the system structure.