• Title/Summary/Keyword: quadratic regulator

Search Result 153, Processing Time 0.027 seconds

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
    • /
    • 2001.07d
    • /
    • pp.2240-2242
    • /
    • 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.

  • PDF

Seismic response control of buildings with force saturation constraints

  • Ubertini, Filippo;Materazzi, A. Luigi
    • Smart Structures and Systems
    • /
    • v.12 no.2
    • /
    • pp.157-179
    • /
    • 2013
  • We present an approach, based on the state dependent Riccati equation, for designing non-collocated seismic response control strategies for buildings accounting for physical constraints, with particular attention to force saturation. We consider both cases of active control using general actuators and semi-active control using magnetorheological dampers. The formulation includes multi control devices, acceleration feedback and time delay compensation. In the active case, the proposed approach is a generalization of the classic linear quadratic regulator, while, in the semi-active case, it represents a novel generalization of the well-established modified clipped optimal approach. As discussed in the paper, the main advantage of the proposed approach with respect to existing strategies is that it allows to naturally handle a broad class of non-linearities as well as different types of control constraints, not limited to force saturation but also including, for instance, displacement limitations. Numerical results on a typical building benchmark problem demonstrate that these additional features are achieved with essentially the same control effectiveness of existing saturation control strategies.

3D Modeling and Balancing Control of Two-link Underactuated Robots using Matlab/Simulink

  • Yoo, Dong Sang
    • Journal of information and communication convergence engineering
    • /
    • v.17 no.4
    • /
    • pp.255-260
    • /
    • 2019
  • A pendubot is a representative example of an underactuated system that has fewer actuators than the degree of freedom of the system. In this study, the characteristics of the pendubot are first reviewed; each part is then designed using Solidworks by dividing the pendubot into three parts: the base frame, first link frame, and second link frame. These three parts are then imported into the Simulink environment via a STEP file format, which is the standard protocol used in data exchange between CAD applications. A 3D model of the pendubot is then constructed using Simscape, and the usefulness of the 3D model is validated by a comparison with a dynamic equation derived using the Lagrangian formulation. A linearized model around an upright equilibrium position is finally obtained, and a sliding mode controller is designed based on the linear quadratic regulator. Simulation results showed that the designed controller effectively maintained upright balance of the pendubot in the presence of disturbance.

Controller Design of a DC-DC Converter using an Optimal Control Theory (최적제어이론을 이용한 DC-DC 컨버터의 제어기 설계)

  • Lee, S.H.;Bae, E.K.;Sin, C.J.;Jeon, K.Y.;Jeon, J.Y.;Oh, B.H.;Lee, H.G.;Han, K.H.
    • Proceedings of the KIPE Conference
    • /
    • 2007.07a
    • /
    • pp.421-423
    • /
    • 2007
  • In this paper, The authors apply a state feedback control using an optimal control theory to improve the stability of the control and the dynamic response of the DC-DC converter system with a number of different loads. To execute a this state feedback control, The authors present the pole placement technique using Linear Quadratic Regulator(LQR) to optimally control the system. An integrator can also be included in the open-loop path in order to minimize the steady-state error of the output voltage. To confirm the superiority of the controller, The simulation results are presented.

  • PDF

Design of Robust Linear Multivariable Optimal Model Following Servo System Incorporating Feedforward Compensator (피이드포워드 보상기를 갖는 강인한 선형 다변수 최적 모델 추종 서보계의 구성에 관한 연구)

  • Hwang, C.S.;Kim, C.T;Kim, D.W.;Kim, M.S.;Lee, K.H.
    • Proceedings of the KIEE Conference
    • /
    • 1993.07a
    • /
    • pp.338-340
    • /
    • 1993
  • In this paper, the method for designing a robust linear multivariable model following servo system is proposed. This model following servo system for the (n)th order reference input and the (n)th order disturbance is treated, and is designed so that the (n)th order response of the plant should be kept close to the (n)th order response of the given model by LQ(Linear Quadratic) optimal regulator approach. It is proved that the characteristics of the model following servo system is robust in the presence of the disturbances and the parameter perturbations of the plant dynamics.

  • PDF

Two-time Scale Controller Design for Vibration Reduction of High Speed Cartesian Manipulator (고속 직교 머니풀레이터의 진동 감소를 위한 Two-time scale 제어기 설계)

  • 강봉수
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.21 no.7
    • /
    • pp.107-114
    • /
    • 2004
  • This paper presents a two-time scale approach for vibration reduction of a high speed Cartesian manipulator. High speed manipulators would be subject to mechanical vibration due to high inertia forces acting on linkages. To achieve high throughput capability, such motion induced vibration would have to be damped quickly, to reduce settling time of the manipulator end-effector. This paper develops a two-time scale model fer a structurally-flexible Cartesian manipulator. Based on the two-time scale model, a composite controller consisting of a computed torque method for the slow time-scale rigid body subsystem, and a linear quadratic state-feedback regulator for the fast time-scale flexible subsystem, is designed. Simulation results show that the proposed two time-scale controller yields good performance in attenuating structural vibration arising due to excitation from inertial forces.

Performance Evaluation of Response-Dependent MR Damper (응답 의존형 MR 감쇠기의 성능 평가)

  • Lee, Sang-Hyun;Min, Kyung-Won;Youn, Kyung-Jo
    • Proceedings of the Earthquake Engineering Society of Korea Conference
    • /
    • 2006.03a
    • /
    • pp.511-518
    • /
    • 2006
  • In this study, seismic response mitigation effect of an MR damper generating response-dependent frictional force is investigated. It has been reported in previous studies that passively operated MR damper with constant input current doesn't show better control performance than semi-active MR damper with varying input current calculated by control algorithms such as linear quadratic regulator and sliding mode control. However, in order to operate the MR damper semi-actively, other control systems besides the damper itself such as sensors for measuring structural responses and controller for calculating optimal input current are necessary, which deteriorate the economical efficiency. This study presents a MR damper generating frictional force of which magnitude is controlled in accordance to the displacement and velocity transferred to the damper. Numerical analyses results indicate that the performance of the response dependent MR damper is closely related with the range of the friction force and it can be designed to short better control performance than the passive MR damper.

  • PDF

LQR Controller Design for Active Suspensions using Evolution Strategy and Neural Network

  • Cheon, Jong-Min;Park, Young-Kiu;Kim, Sungshin;Kim, Dae-Jun;Lee, Min-Jung
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2001.10a
    • /
    • pp.41.4-41
    • /
    • 2001
  • In this paper, we propose a LQR(Linear Quadratic Regulator) controller design for the active suspension using two-degree-of-freedom quarter-car model. We can improve the inherent suspension problem, the tradeoff between ride quality and suspension travel by selecting appropriate weights in the LQR-objective function. Because any definite rules for selecting weights do not exist, we replace the designer´s trial and error with the optimization-algorithm, ES(Evolution Strategy). Using the ES, we can find the proper control gains for selected frequencies, which have major effects on the vibrations of the vehicle´s state variables.

  • PDF

The Study on Position Control of Nonlinear System Using Wavelet Neural Network Controller (웨이블렛 신경회로망 제어기를 이용한 비선형 시스템의 위치 제어에 관한 연구)

  • Lee, Jae-Hyun
    • Journal of the Korea Institute of Information and Communication Engineering
    • /
    • v.12 no.12
    • /
    • pp.2365-2370
    • /
    • 2008
  • In this paper, applications of wavelet neural network controller to position control of nonlinear system are considered. Wavelet neural network is used in the objectives which improve the efficiency of LQR controllers. It is possible to make unstable nonlinear systems stable by using LQR(Linear Quadratic Regulator) technique. And, in order to be adapted to disturbance effectively in this system it uses wavelet neural network controller. Applying this method to the position control of nonlinear system, its usefulness is verified from the results of experiment.

An Energy-aware Buffer-based Video Streaming Optimization Scheme (에너지 효율적인 버퍼 기반 비디오 스트리밍 최적화 기법)

  • Kang, Young-myoung
    • Journal of the Korea Institute of Information and Communication Engineering
    • /
    • v.26 no.10
    • /
    • pp.1563-1566
    • /
    • 2022
  • Video streaming applications such as Netflix and Youtube are widely used in our daily life. A DASH based streaming client exploits adaptive bit rate (ABR) method to choose the most appropriate video source representation that the network can support. In this paper we propose a novel energy-aware ABR scheme that adds the ability to monitor energy efficiency in addition to the linear quadratic regulator algorithm we previously introduced. Our trace-driven simulation studies show that our proposed scheme mitigates and shortens re-buffering, resulting in energy savings of mobile devices while preserving the similar QoE compared to the state-of-the-art ABR algorithms.