• Title/Summary/Keyword: LQR-design method

Search Result 76, Processing Time 0.022 seconds

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
    • /
    • 2002.11c
    • /
    • pp.96-99
    • /
    • 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.

  • PDF

Performance Analysis, Real Time Simulation and Control of Medium-Scale Commercial Aircraft Turbofan Engine

  • Kong, Chang-Duk;Jayoung Ki;Chung, Suk-Chou
    • Journal of Mechanical Science and Technology
    • /
    • v.15 no.6
    • /
    • pp.776-787
    • /
    • 2001
  • The turbofan engine performance analysis for a medium scale commercial aircraft was carried out and the LQR control scheme for performance optimization was studied. By using scaled component maps from well-known CF6 engine characteristics, the steady-state performance analysis result was compared with BR715-56 engine performance data. The transient performance analysis was performed with four fuel schedules. The linear simulation was done at the maximum take-off condition. The real time linear simulation was performed by interpolation of the system matrices, which used the least square method as the function of LPC rotational speed. By using linear system matrices of design point, the LQR controller which used control variables for the fuel flow and the LPC bleed air was designed.

  • PDF

Power System Stabilizer Using Taylor Model (Taylor 모델을 사용한 전력계통의 안정화)

  • 김호찬;김세호
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
    • /
    • v.17 no.5
    • /
    • pp.111-117
    • /
    • 2003
  • The Taylor model concept is introduced to design a controller with input and output data only. The parameters in Taylor model can be estimated using the input and output data and a controller can be designed based on Taylor model. The accuracy of Taylor model approximation can be improved by increasing the observation window and the order of Taylor model. The LQR method is applied to Taylor model to design power system stabilizers (PSS), and compared with the conventional PSS.

A New Loop Shaping Method for Design of Robust Optimal PID Controller (강인한 최적 PID 제어기 설계를 위한 새로운 루프 형성 기법)

  • 윤성오;서병설
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.28 no.11C
    • /
    • pp.1062-1069
    • /
    • 2003
  • This paper presents a new loop shaping technique for design of robust optimal PID controllers in order to satisfy the performance requirements. PID controller can be designed by selecting the suitable weighting factors Q and R. This technique is developed by pushing all two zeros formed by PID controller closely to a larger pole of the second order plant. As a result, a good loop shaping is achieved in the high frequencies region on the Bode plot. For the robust optimal tuning of PID controller for second order system, a new loop shaping procedure is developed via LQR approach.

Model Reference Adaptive Control of a Quadrotor Considering the Uncertainty of Payload (유상하중의 불확실성을 고려한 쿼드로터의 모델 참조 적응제어 기법 설계)

  • Lee, Dongwoo;Kim, Lamsu;Jang, Kwangwoo;Lee, Seongheon;Bang, Hyochoong
    • Journal of the Korean Society for Aeronautical & Space Sciences
    • /
    • v.49 no.9
    • /
    • pp.749-757
    • /
    • 2021
  • In transportation missions using quadrotor, the payload may change the model parameters, such as mass, moment of inertia, and center of gravity. Moreover, if position of the payload is constantly changing during flight, the effect can adversely affect the control performances. To handle this issue, we suggest Model Reference Adaptive Control based on Linear Quadratic Regulator(LQR+MRAC) to compensate the uncertainty caused by payload. Firstly, the mathematical modeling with the fixed payload is derived. Second, Linear Quadratic Regulator (LQR) is used to design the reference model and baseline controller. Also, through the Stability method, Adaptive law is derived to estimate the model parameters. To verify the performance of proposed control scheme, we compared LQR and LQR+MRAC in situations where uncertainties exist. And, when the disturbance exist, the classic MRAC and proposed controller is compared to analyze the transient response and robustness.

LQ-servo method for non-minimum phase plants (비최소 위상 플랜트에서 LQ-servo 방법)

  • 서병설;장태우
    • Journal of the Korean Institute of Telematics and Electronics B
    • /
    • v.33B no.3
    • /
    • pp.9-16
    • /
    • 1996
  • LQ-servo is a robustness guaranteed multivariable controller design method based on the LQR structure to improve command following with output feedback. in this paper we introduce a weighting factor on the low frequency part of the state weighting matrix in the performance index in order to increase the low frequency gain of loop transfer function matrix T(s) in the loop shaping design method.

  • PDF

Controller design by using pole-sensitivity (극점감도를 이용한 제어기 설계)

  • 임동균;강진식;서병설
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1990.10a
    • /
    • pp.446-450
    • /
    • 1990
  • In this paper, we present a method of analysing perturbed linear system by pole sensitivity defined by the rate of pole movement with respect of perturbation. Pole sensitivity give us not only the rate of pole movement but also the directional information of the pole movement. We present a method of design of a LQR by considering the pole sensitivity and show that the suggested method guarantee the stability robustness of parameter perturbation.

  • PDF

An Optimal PI Controller Tuning for TITO System (TITO시스템의 최적 PI제어기 동조)

  • Um, Tae-Ho;Suh, Byung-Suhl
    • Proceedings of the KIEE Conference
    • /
    • 2003.04a
    • /
    • pp.186-189
    • /
    • 2003
  • This paper presents an optimal tuning method of the decentralized PI controller of two-input, two-output(TITO) second order system to be formulated as LQR. The tuning method of proposed decentralized PI controller is developed by establishing the relationships between the closed-loop state equation including decentralized PI control factors and the closed-loop state equation of LQR, which can be guaranteed the performance and stability-robustness by selecting the weighting factors Q and R of the cost function in order to satisfy design specifications in frequency domain.

  • PDF

Structural Vibration Control with $H_{\infty}$ Control Algorithm ($H_{\infty}$제어알고리즘을 이용한 구조물의 진동제어)

  • 고현무
    • Proceedings of the Earthquake Engineering Society of Korea Conference
    • /
    • 1998.10a
    • /
    • pp.93-99
    • /
    • 1998
  • Mathematical model can be obtained by physical law or engineering theory. However it is always incomplete expression of the real system. In active controls to suppress vibration due to earthquake or wind load, modeling errors can often cause the problems of instability and performance degradation. In this paper, robust optimal controller design method using H$\infty$ control theory is developed for the systems which have uncertain natural frequency and design constraints. Numerical results show that the proposed H$\infty$ controller can avoid the performance degradation due to several errors and has better performance than conventional LQR method.

  • PDF

Design of Individual Pitch Control and Fatigue Analysis of Wind Turbine (풍력발전시스템 개별피치제어설계 및 피로해석에 관한 연구)

  • Jeon, Gyeong Eon;No, Tae Soo;Kim, Guk Sun
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.38 no.1
    • /
    • pp.1-9
    • /
    • 2014
  • Structural loading on a wind turbine is due to cyclic loads acting on the blades under turbulence and periodic wind field. The structural loading generates fatigue damage and fatigue failure of the wind turbine. The individual pitch control(IPC) is an efficient control method for reducing structural loading. In this paper, we present an IPC design method using Decentralized LQR(DLQR) and Disturbance accommodating control(DAC). DLQR is used for regulating rotor speed and DAC is used for canceling out disturbances. The performance of the proposed IPC is compared with CPC, which was designed with a gain-scheduled PI controller. We confirm the effect of fatigue load reduction with the use of damage equivalent load(DEL).