• Title/Summary/Keyword: Linear Quadratic Controller

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A Tuning Algorithm for LQ-PID Controllers using the Combined Time - and Frequency-Domain Control Method

  • Kim, Chang-Hyun;Lee, Ju;Lee, Hyung-Woo
    • Journal of Electrical Engineering and Technology
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    • v.10 no.3
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    • pp.1244-1254
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    • 2015
  • This paper proposes a new method for tuning a linear quadratic - proportional integral derivative controller for second order systems to simultaneously meet the time and frequency domain design specifications. The suitable loop-shape of the controlled system and the desired step response are considered as specifications in the time and frequency domains, respectively. The weighting factors, Q and R of the LQ controller are determined by the algebraic Riccati equation with respect to the limiting behavior and target function matching. Numerical examples show the effectiveness of the proposed LQ-PID tuning method

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

  • 김호찬;김세호
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.17 no.5
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    • pp.111-117
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    • 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.

Disital Control for Active Magnetic Bearing System (능동자기베어링시스템의 디지털 제어)

  • 박영진;김승철;정성종
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1994.10a
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    • pp.311-316
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    • 1994
  • In this study, a governing equation for 4-axis active magnetic bearing system composed of a rigid rotor and two radial magnetic bearings is derived. We find out that there are two kind of coupling between control axes in the system. And digital contralized controller is designed based on state-space approach and linear quadratic regulator(LQR) theory. By numerical simulation, it is shown what the designed controller can stabilize the system and control the coupling effectively using limited control input.

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Active Vibration Control of Smart Hull Structure Using MFC Actuators (MFC 작동기를 이용한 스마트 Hull 구조물의 능동 진동 제어)

  • Sohn, Jung-Woo;Kim, Heung-Soo;Choi, Seung-Bok
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.12 s.105
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    • pp.1408-1415
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    • 2005
  • Active vibration control of smart hull structure using Macro Fiber Composite (MFC) actuator is performed. Finite element modeling is used to obtain governing equations of motion and boundary effects of end-capped smart hull structure. Equivalent interdigitated electrode model is developed to obtain piezoelectric couplings of MFC actuator. Modal analysis is conducted to investigate the dynamic characteristics of the hull structure, and compared to the results of experimental investigation. MFC actuators are attached where the maximum control performance can be obtained. Active controller based on Linear Quadratic Gaussian (LQG) theory is designed to suppress vibration of smart hull structure. It is observed that closed loop damping can be improved with suitable weighting factors in the developed LQG controller and structural vibration is controlled effectively.

Formation of the Quiet Zone in an Automobile using Headset (헤드셋을 이용한 승용차 실내 저소음 영역의 생성)

  • Lee, Chul;Kim, In-Soo;Hong, Suk-Yoon
    • Journal of KSNVE
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    • v.7 no.2
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    • pp.301-310
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    • 1997
  • This paper presents active noise control method to form the near-field quiet zone for passengers in an automobile. The actuator model including interior acoustic plant, speaker and amplifier is experimentally identified in forms of auto-regressive and moving average by means of least mean square algorithm, The digital controller is composed of the regulator and Kalman filter to be designed based on LQG (linear quadratic gaussian). If the actuator model is prefiltered with digital filter to be properly designed for concentrating control performance index on the frequency band of primary noise source, LQG design approach can be effectively applied for the design of headset controller. Experimental results demonstrate that near-field quiet zone showing about 10dB noise reduction at microphone position can be formed using the headset located at passenger seat.

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Design of Control Logics for Improving Vehicle Dynamic Stability (차량 안정성 향상을 위한 제어기 설계)

  • 허승진;박기홍;이경수;나혁민;백인호
    • Transactions of the Korean Society of Automotive Engineers
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    • v.8 no.5
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    • pp.165-172
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    • 2000
  • The VDC(Vehicle Dynamic Control) is a control system whose target is to improve stability of a vehicle under lateral motion. A lateral vehicle motion, especially on a slippery road, can lead to a hazardous situation, and the situation can even worsen by the driver`s inappropriate response. In this paper, two VDC systems, a fuzzy-based controller and an LQR-based controller have been developed. The controllers take as input the yaw rate and the sideslip angle of either body or rear wheel, and they yield the direct yaw moment signal by which the vehicle can gain stability during cornering. Simulations have been conducted to evaluate the performance of the control system. The results indicated that the controllers can successfully improve vehicle stability under potentially dangerous driving conditions.

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Controller Design of the Nonlinear Stochastic System using Block Pulse Function (블럭펄스 함수를 이용한 확률시스템의 제어기 설계)

  • Lim, Yun-Sic;Lee, Jae-Chun;Lee, Myung-Kyu;Ahn, Doo-Soo
    • Proceedings of the KIEE Conference
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    • 1997.07b
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    • pp.584-586
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    • 1997
  • The orthogonal polynomials have been widely employed to solve control problems, but the LQG(linear quadratic gaussian) problem remains unsolved. In this paper, we obtained the solutions of Riccati equation and covariance matrix Riccati equation by two point boundary problem and matrix fraction method using BPF(Block Pulse Function), respectively. This solutions are solved the problem of the LQG controller design.

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A Study on Control Characteristics of Translation System Using PD Control and LQR (PD제어와 LQR을 이용한 병진 시스템의 제어특성 연구)

  • 김택현;정상화;이동하
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.10 no.5
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    • pp.78-84
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    • 2001
  • The translation system is made up of springs, masses and a dashpot. This precise piece of equipment is controlled electro-mechanically by a motor and operating program. The control strategy of the system can be changed by spring stiffness, change of mass, and the damping coefficient of the dashpot. This system proves the necessity and effect of a closed loop control. In this paper, PD control experiments were implemented for the translation system. When the north falter was added on the PD controller, we compared the response characteristics of the two systems. The state feedback controller minimized scalar control gains and the resulting response characteristics of the system were studied using the LQR design. Finally, we improved the response characteristics of the translation system which are rising time, settling time, steady state error, and overshoot LQR was better as compared with PD control.

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Guaranteed Cost Control for Uncertain Time-Delay Systems with nonlinear Perturbations via Delayed Feedback (지연귀환을 통한 비선형 섭동이 존재하는 불확실 시간지연 시스템의 성능보장 제어)

  • Park, Ju-Hyun;Kwon, Oh-Min
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.6
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    • pp.581-588
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    • 2007
  • In this paper, we propose a delayed feedback guaranteed cost controller design method for linear time-delay systems with norm-bounded parameter uncertainties and nonlinear perturbations. A quadratic cost function is considered as the performance measure for the given system. Based on the Lyapunov method, an LMI optimization problem is formulated to design a controller such that the closed-loop cost function value is not more than a specified upper bound for all admissible system uncertainties and nonlinear perturbations. Numerical example show the effectiveness of the proposed method.

Beam structural system moving forces active vibration control using a combined innovative control approach

  • Lee, Ming-Hui
    • Smart Structures and Systems
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    • v.12 no.2
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    • pp.121-136
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    • 2013
  • This study proposes an innovative control approach to suppress the responses of a beam structural system under moving forces. The proposed control algorithm is a synthesis of the adaptive input estimation method (AIEM) and linear quadratic Gaussian (LQG) controller. Using the synthesis algorithm the moving forces can be estimated using AIEM while the LQG controller offers proper control forces to effectively suppress the beam structural system responses. Active control numerical simulations of the beam structural system are performed to evaluate the feasibility and effectiveness of the proposed control technique. The numerical simulation results show that the proposed method has more robust active control performance than the conventional LQG method.