• Title/Summary/Keyword: LQR method

Search Result 131, Processing Time 0.023 seconds

Probability-Based Active Control Using Structure Energy (구조물의 에너지를 이용한 확률에 기초한 능동제어)

  • Min, Kyung-Won;Hwang, Jae-Seung;Lee, Sang-Hyun;Lan Chung
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2003.11a
    • /
    • pp.47-55
    • /
    • 2003
  • This paper Presents active control algorithm using probability density function of structural energy. It is assumed that the structural energy under excitation has Rayleigh probability distribution. This assumption is based on the fact that Rayleigh distribution satisfies the condition that the structural energy is always positive and the occurrence probability of minimum energy is zero. The magnitude of control force is determined by the probability that the structural energy exceeds the specified target critical energy, and the sign of control force is determined by Lyapunov controller design method. Proposed control algorithm shows much reduction of peak responses under seismic excitation compared to LQR controller, and it can consider control force limit in the controller design. Also, chattering problem which sometimes occurs in Lyapunov controller can be avoided.

  • PDF

An Emphirical Closed Loop Modeling of a Suspension System using a Neural Networks (신경회로망을 이용한 폐회로 현가장치의 시스템 모델링)

  • 김일영;정길도;노태수;홍동표
    • Proceedings of the Korean Society of Precision Engineering Conference
    • /
    • 1996.11a
    • /
    • pp.384-388
    • /
    • 1996
  • The closed-loop system modeling of an Active/semiactive suspension system has been accomplished through an artificial neural Networks. The 7DOF full model as the system equation of motion has been derived and the output feedback linear quadratic regulator has been designed for the control purpose. For the neural networks training set of a sample data has been obtained through the computer simulation. A 7DOF full model with LQR controller simulated under the several road conditions such as sinusoidal bumps and the rectangular bumps. A general multilayer perceptron neural network is used for the dynamic modeling and the target outputs are feedback to the input layer. The Backpropagation method is used as the training algorithm. The modeling of system and the model validation have been shown through computer simulations.

  • PDF

Implementation of a Parallel Inverted Pendulum System with Decoupling Control (병렬형 역진자 시스템 제작 및 분리제어)

  • 김주호;박운식;최재원
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.17 no.7
    • /
    • pp.162-169
    • /
    • 2000
  • In this paper, we develop a parallel inverted pendulum system that has the characteristics of the strongly coupled dynamics of motion by an elastic spring, the time-variant system parameters, and inherent instability, and so on. Hence, it is possible to approximate some kinds of a physical system into this representative system and to apply the various control theories to this system in order to verie their fidelity and efficiency. For this purpose, an experimental system of the parallel inverted pendulum has been implemented, and a control scheme using the eigenstructure assignment for decoupling control is presented in comparison with the conventional LQR optimal control method. Furthermore, this system can be utilized as a testbed to develop and evaluate new control algorithms through various setups. Finally, in this paper, the results of the experiment are compared with those of numerical simulations for validation.

  • PDF

A Study on Modeling and LQ Control of Inverted Pendulum System (도립 전자 시스템의 모델링과 LQ제어에 관한 연구)

  • Yang, Ju-Ho;Choung, Kwang-Gyo
    • Journal of the Korean Society of Fisheries and Ocean Technology
    • /
    • v.30 no.3
    • /
    • pp.199-208
    • /
    • 1994
  • The inverted pendulum is one of the control mechanism that has been frequently used to verify the control theory in the laboratory. In this paper, the author made an inverted pendulum driven by DC servomotor with a simple DC motor drive circuit, and constituted a control system. The control mechanism is modeled, and identified parameters of inverted pendulum system by experimental method. The author used the LQ regulator as control algorithm and the minimum order observer algorithm to observe states that can not be measured. And the validity of parameter identification and the excellent performance of the control system designed by LQR are confirmed.

  • PDF

Air-Gap Control Using Optimal PID Controller for SIL-Based Near-Field Recording System (SIL 기반 근접장 기록 시스템의 간극 제어를 위한 최적화된 PID 제어 알고리즘 성능평가)

  • Shin, Won-Ho;Kim, Jung-Gon;Park, No-Cheol;Yang,, Hyun-Seok;Park, Young-Pil;Park, Kyoung-Su
    • Transactions of the Society of Information Storage Systems
    • /
    • v.5 no.1
    • /
    • pp.41-46
    • /
    • 2009
  • In SIL-based NFR servo systems, the residual error and the overshoot that are occurred in the process of the modes-witching servo which consists of approach, gap-control modes, and safety mode are reduced by using PID controller. However, the design method of conventional PID controller is not sufficient for the stable air gap control system. Therefore, the optimal PID controller using LQR manner is more useful to find the designed parameters of PID controller. In this paper, we show that the performance of the optimal PID controller is better than that of the lead-lag controller.

  • PDF

SDRE Based Nonlinear Optimal Control of a Two-Wheeled Balancing Robot (SDRE 기법을 이용한 이륜 밸런싱 로봇의 비선형 최적제어)

  • Kim, Sang-Tae;Kwon, Sang-Joo
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.17 no.10
    • /
    • pp.1037-1043
    • /
    • 2011
  • Two-wheeled balancing mobile robots are currently controlled in terms of linear control methods without considering the nonlinear dynamical characteristics. However, in the high maneuvering situations such as fast turn and abrupt start and stop, such neglected terms become dominant and greatly influence the overall driving performance. This paper addresses the SDRE nonlinear optimal control method to take advantage of the exact nonlinear dynamics of the balancing robot. Simulation results indicate that the SDRE control outperforms LQR in the respect of transient performance and required wheel torques. A design example is suggested for the state matrix that provides design flexibility in the SDRE control. It is shown that a well-planned state matrix by reflecting the physics of a balancing robot greatly contributes to the driving performance and stability.

NEW MODELING AND CONTROL OF AN ASYMMETRIC HYDRAULIC ACTIVE SUSPENSION SYSTEM

  • Kim, Wanil;Sangchul Won
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1998.10a
    • /
    • pp.490-495
    • /
    • 1998
  • In this paper an asymmetric hydraulic actuator which consists of single acting cylinder and servo valve is modeled for a quarter car active suspension system. This model regards the force as an internal state rather than a control input. The control input of the model is the sum of oil flows that pass through the valve's orifices. The resulting dynamic equation in the state space ap-pears a feedback connection of a nominal linear time in-variant term with a nonlinear bounded uncertain block. Since this model makes it possible to eliminate the force control phase, analysis and controller design are made straightforward and simple. Well known LQR method is then applied. Simulation and test rig experiment show the effectiveness of this approach in modeling and control.

  • PDF

A Loop Shaping Method of PID Controller for Time delay Systems (시간 지연이 있는 시스템에서의 PID 제어기 설계를 위한 루프 형성 기법)

  • Yun Seong o;Suh Byung suhl
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.29 no.10C
    • /
    • pp.1370-1377
    • /
    • 2004
  • Optimal control gain for time-delay systems is made by an optimal control gain for delay-free systems multiplied by a state transition function for the delay time. The optimal control gain for delay-free systems is obtained by pushing two zeros of the PID controller closely to a larger pole of the second order plant. Thus the optimal tuning of PID controller for time-delay second order system is able to be obtained by calculation for the state transition function.

Seismic Response Control of Structures Using Variable Stiffness and Variable Damping Devices (가변강성 및 가변감쇠 조절장치를 이용한 구조물의 지진응답제어)

  • 고현무;옥승용;우지영;박관순
    • Proceedings of the Earthquake Engineering Society of Korea Conference
    • /
    • 2003.03a
    • /
    • pp.449-456
    • /
    • 2003
  • Hybrid semi-active control system is applied to improve the seismic peformance of the building structure against earthquake excitation and the LQR-based semi-active control algorithm is developed to tune the integrated stiffness/damping characteristics of the hybrid system complementarily. Numerical simulation for a 8-story shear building has been carried out to verify the applicability and effectiveness of the proposed method. Analysis results showed that the hybrid system can be a compromising solution to the seismic response control problem, compared with conventional variable stiffness or variable damping systems. Comparison results proved that the proposed algorithm can perform refined tuning of the stiffness and damping coefficients of the hybrid semi-active control system better than sliding mode control algorithm.

  • PDF

Seisminc Response of Base Isolated Structures with MR Dampers (MR 감쇠기를 적용한 기초격리구조물의 지진응답)

  • 고봉준;황인호;이종세
    • Proceedings of the Earthquake Engineering Society of Korea Conference
    • /
    • 2003.09a
    • /
    • pp.505-512
    • /
    • 2003
  • As large structures such as highrise 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 means to minimize seismic damages, various base isolation systems are adopted or considered for adoption. In this study, the seismic performance of M 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 M damper system can provide superior protection than the NZ system for a wide range of ground motions.

  • PDF