• 제목/요약/키워드: Linear Quadratic Controller

검색결과 252건 처리시간 0.019초

마이크로버스트를 통과하는 비행기의 안전착륙을 위한 자동조종장치 (Autopilot for Safe Landing in the Microburst)

  • 박기홍
    • 소음진동
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    • 제7권4호
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    • pp.605-612
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    • 1997
  • A state feedback controller and an observer have been developed and analyzed for an aircraft's safe landing in the windshear called microburst. The observer estimates the ambient wind field as well as the full-order longitudinal state vector. The controller uses the wind and state estimates for guiding the control inputs for safe landing. For the observer and controller gains, the design methodologies of linear quadratic estimation and linear quadratic regulation have been exploited. Analysis shows that some of the microburst-induced aircraft accidents in the past might have been avoided with the designed autopilot.

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Optimal Control for Proximity Operations and Docking

  • Lee, Dae-Ro;Pernicka, Henry
    • International Journal of Aeronautical and Space Sciences
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    • 제11권3호
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    • pp.206-220
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    • 2010
  • This paper proposes optimal control techniques for determining translational and rotational maneuvers that facilitate proximity operations and docking. Two candidate controllers that provide translational motion are compared. A state-dependent Riccati equation controller is formulated from nonlinear relative motion dynamics, and a linear quadratic tracking controller is formulated from linearized relative motion. A linear quadratic Gaussian controller using star trackers to provide quaternion measurements is designed for precision attitude maneuvering. The attitude maneuvers are evaluated for different final axis alignment geometries that depend on the approach distance. A six degrees-of-freedom simulation demonstrates that the controllers successfully perform proximity operations that meet the conditions for docking.

LQ관측기를 사용한 새로운 누적방지 기법 (A New Anti-windup Method Using the Linear Quadratic Observer)

  • 김태신;양지혁;권오규
    • 제어로봇시스템학회논문지
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    • 제16권2호
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    • pp.134-139
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    • 2010
  • In order to overcome some problems of existing anti-windup methods, this paper defines LQ (Linear Quadratic) observer and proposes a new anti-windup method using the LQ observer. LQ observer is derived by linear quadratic optimization in order to calculate controller states, which make the controller outputs equal to the plant inputs. And we propose an algorithm so that it can be implemented by a digital controller easily. The relationship between the design parameters and the anti-windup performance is shown via some numerical examples, which cover the cases with the anti-windup method using LQ observer designed and the case without it. Finally, the anti-windup performance of the proposed method is exemplified via comparison with the existing model-based conditioning scheme method[4].

역최적제어(ILQ)를 이용한 열간압연시스템의 루퍼 장력제어기 설계 및 견실성 연구 (A Study on the Design of a Looper Strip Controller and its Robustness for Hot Strip Mills Using ILQ Control)

  • 황이철;김성배
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집B
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    • pp.93-98
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    • 2001
  • This paper studies on the design of an ILQ(Inverse Linear Quadratic optimal control) looper control system for hot strip mills. The looper which is placed between each stand plays an important role in controlling strip width by regulating strip tension variation generated from the velocity difference of main work rolls. The mathematical model for looper is firstly obtained by Taylor's linearization of nonlinear differential equations, where it is given as a linear and time invariant state-space equation. Secondly, a looper servo controller is designed by ILQ control algorithm, which is an inverse problem of LQ(Linear Quadratic optimal control) control. By tunning control gain arbitration parameters and time constants, it is shown that the ILQ looper servo controller has the performance that makes well to follow desired trajectories of both strip tension and looper angle.

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파라미터 불확실성을 갖는 어핀 T-S 퍼지 시스템의 제어기 설계 (Controller Design for Affine T-S Fuzzy System with Parametric Uncertainties)

  • Lee, Sang-In;Park, Jin-Bae;Joo, Young-Hoon
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2004년도 춘계학술대회 학술발표 논문집 제14권 제1호
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    • pp.133-136
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    • 2004
  • This paper proposes a stability condition in affine Takagi-Sugeno (T-S) fuzzy systems with parametric uncertainties and then, introduces the design method of a fuzzy-model-based controller which guarantees the stability. The analysis is based on Lyapunov functions that are continuous and piecewise quadratic. The search for a piecewise quadratic Lyapunov function can be represented in terms of linear matrix inequalities (LMIs).

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구조적 파라미터 불확실성을 갖는 안정한 선형계에 대한 강인 포화 제어기 (Robust Saturation Controller for the Stable LTI System with Structured Real Parameter Uncertainties)

  • 임채욱;박영진;문석준;박윤식
    • 제어로봇시스템학회논문지
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    • 제12권6호
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    • pp.517-523
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    • 2006
  • This paper is focused on a robust saturation controller for the stable linear time-invariant (LTI) system involving both actuator's saturation and structured real parameter uncertainties. Based on affine quadratic stability and multi-convexity concept, a robust saturation controller is newly proposed and the linear matrix inequality (LMI)-based sufficient existence conditions for this controller are presented. The controller suggested in this paper can analytically prescribe the lower and upper bounds of parameter uncertainties, and guarantee the closed-loop robust stability of the system in the presence of actuator's saturation. Through numerical simulations, it is confirmed that the proposed robust saturation controller is robustly stable with respect to parameter uncertainties over the prescribed range defined by the lower and upper bounds.

자기부상 시스템의 디지털 제어 (Digital Control of an Electromagnetic Levitation System)

  • 이승욱;이건복
    • 대한기계학회논문집
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    • 제18권9호
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    • pp.2312-2321
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    • 1994
  • In this work the dynamics of an electromagnetic levitation system is described by a set of three first order nonlinear ordinary differential equations. The objective is to design a digital linear controller which takes the inherent instability of the uncontrolled system and the disturbing force into consideration. The controller is made by employing digital linear quadratic(LQ) design methodology and the unknown state variables are estimated by the kalman filter. The state estimation is performed using not only an air gap sensor but also both an air gap sensor and a piezoelectric accelerometer. The design scheme resulted in a digital linear controller having good stability and performance robustness in spite of various modelling errors. In case of using both a gap sensor and an accelerometer for the state estimation, the control input was rather stable than that in a system with gap sensor only and the controller dealt with the disturbing force more effectively.

선형 다변수 시스템에 있어서 시간비중 성능지수를 이용한 최적 상수 PIDM 궤한 제어기 (Optimal Constant PIDM Feedback Controller using Time Weighted Performance Index for Linear Multivariable Systems)

  • 권봉환;윤명중
    • 대한전기학회논문지
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    • 제36권5호
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    • pp.360-366
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    • 1987
  • The design problem of optimal constant PIDM (proportional-integral-derivative and measurable variable) feedback controller for linear time-invariannt systems is investigated with the time-weighted quadratic performance index. Necessary conditions for an optimality of the controller are derived and an algorithm for computing the optimal feedback gain is presented. It is shown via example that the design mithod using the time-weighted quadratic performance index improves the transient responses of the closed-loop system.

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열간압연공정의 스트립 선미단부 루퍼-장력 제어 (Looper-Tension Control of Strip Top-Tail Parts for Hot Rolling Mills)

  • 황이철
    • 동력기계공학회지
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    • 제19권4호
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    • pp.24-29
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    • 2015
  • This paper designs a looper-tension controller for strip top-tail parts in hot strip finishing mills. A three-degree linear model of the looper-tension system is derived by a Taylor's linearization method, where the actuator's dynamics are ignored because of their fast responses. A feedforward shaping controller for the strip top part and a feedforward model reference controller for the strip tail part are respectively designed, they are combined with an ILQ(Inverse Linear Quadratic optimal control) feedback controller for the strip middle part. It is shown from by a computer simulation that the proposed controller is very effective to the strip top-tail parts including the middle part.

열간사상압연기의 루퍼시스템의 ILQ 제어기 설계 (Design of an ILQ Looper Controller for Rot Strip Mills)

  • 김성배;황이철
    • 대한기계학회논문집A
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    • 제26권8호
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    • pp.1680-1689
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    • 2002
  • This paper studies on the design of a looper control system for hot strip mill finisher using ILQ(Inverse Linear Quadratic optimal control) control method. The loopers are placed between each rolling stands and looper control plays an important role in regulating strip tension. The strip tension is controlled by raising and lowering the looper and by changing the speed of main work rolls. Firstly, it is shown from a nonlinear dynamic simulation that the strip tension is more influenced by difference of rolling speed than that of the looper angle. Secondly, a servo controller of the looper is designed using ILQ control method of which the characteristics and algorithms are simply introduced. Finally, the performances of the ILQ servo controller are compared with those of the LQI servo controller from computer simulation. In result, it is shown that the proposed ILQ servo controller has the better performances and robustness far parameter perturbations and disturbances than those of LQI controller.