• Title/Summary/Keyword: Multivariable Feedback

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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
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    • v.33B no.3
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    • pp.9-16
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    • 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.

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Robust PI controller design using LQ-servo (LQ-servo를 이용한 강인한 PI제어기 설계)

  • 이동영;윤성오;서병설
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.577-580
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    • 1996
  • LQ-servo is a stability-robustness guaranteed multivariable controller design method based on the LQR structure to improve command following performance with output feedback. In this paper, a new type of PI controller based on LQ-servo is introduced. Then, Command following performance is improved using the limiting behavior of the control gain and weighting factors on the low frequency part of design parameter Q that is the state weighting matrix in the cost function.

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Sliding Mode Control Design for Polytopic Models (폴리토픽 모델을 위한 슬라이딩 모드 제어기 설계)

  • Choi, Han-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.7
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    • pp.667-670
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    • 2009
  • This paper presents an LMI-based method to design a sliding mode controller for a multivariable uncertain system with a polytopic model. In terms of LMIs an existence condition of a sliding surface is derived. And a switching feedback control law is given. Finally, a numerical design example is given to show that the proposed method can be better than the existing results.

Robust tracking in multivariable nonlinear systems (다변수 비선형시스템에서의 강인한 추적)

  • 백운보;배종일;이만형
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10a
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    • pp.451-456
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    • 1990
  • We treat the problem of the robust tracking of a class of nonlinear systems which can be asymptotically decoupled in approximate sense by state variable feedback. A nonlinear control law is derived such that the tracking error in the closed loop system is uniformly bounded and tends to a certain small neighborhood of the origin. Simulation results show that simultaneous lateral and longitudinal maneuvers in airplane can be accurately performed in spite of uncertainty in stability derivatives.

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The optimal design of digital controller for deadbeat performance (데드비트 성능을 위한 디지탈 제어기의 최적설계)

  • 천희영
    • 전기의세계
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    • v.29 no.3
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    • pp.179-184
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    • 1980
  • This paper presents in some detail a discussion of the design of the digital control system without nonlinear elements to exhibit deadbeat performance in response to step inputs. The transfer function of digital dontroller is obtained by calculating the sequence of inputs and outputs of the digital controller for deadbeat performance. Digital controllers are designed for unity feedback multivariable systems by this method, which is well adapted for obtaining a solution by a digital computer.

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State Feedback Control of PWM Current Source Converter and Inverter System (PWM 전류형 컨버터 및 인버터 시스템의 상태궤환 제어)

  • Ko, Sung-Beom;Lee, Dong-Choon;Ro, Chae-Gyun
    • Proceedings of the KIEE Conference
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    • 1996.07a
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    • pp.501-503
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    • 1996
  • In this paper, a novel control strategy for PWM current source converter and inverter is proposed, applying a multivariable state feedback control. The PWM converter controls line current to be sinusoidal and make input power factor unity. In addition, the modulation index control of dc link current is carried out, which produces lower loss of switching devices. Since the voltage control of inverter output filter capacitor is performed a decoupling of the d-q current of the induction motor is well retained. With the proposed algorithm, both high dynamic responses and satisfactory static performance can obtained.

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The study of the design technique for the multivariable high gain controller with feedforward compensation (전향보상을 갖는 다변수 고이득 제어기 설계기법에 관한 연구)

  • Lim, Ho;Kim, Won-Kyu;Park, Jeong-Il;Park, Chong-Kug
    • Proceedings of the KIEE Conference
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    • 1988.11a
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    • pp.49-52
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    • 1988
  • This paper deal with the robust high gain controller design technique by inner-loop feedback, output feedback, feedforward compensation, and presented the algorithm to be required the determination of gain matrix. Using this control scheme, simulation results have bean tested for the linearized model of the aircraft.

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Robust Stability Analysis for a Fuzzy Feedback Linearization Method using a Takagi-Sugeno Fuzzy Model

  • Kang, Hyung-Jin;Cheol Kwon;Lee, Hee-Jin;Park, Mignon
    • Journal of Electrical Engineering and information Science
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    • v.2 no.4
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    • pp.28-36
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    • 1997
  • In this paper, robust stability analysis for the fuzzy feedback linearization regulator is presented. Well-known Takagi-Sugeno fuzzy model is used as the MISO nonlinear plant model. Uncertainty and disturbance are assumed to be included in the model structure with known bounds. For these structured uncertainty and disturbances, robust stability of the close system is analyzed in both input-output sense and Lyapunov sense. The robust stability conditions are proposed by using multivariable circle criterion and the relationship between input-output stability and Lyapunov stability. The proposed stability analysis is illustrated by a simple example.

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An Application of Linear Singular System Theory To Electric Circuits (선형 Singular 시스템 이론의 전기 회로에의 적용)

  • Hoon Kang
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.25 no.12
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    • pp.1625-1632
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    • 1988
  • This paper aims not only to introduce the concept of linear singular systems, geometric structure, and feedback but also to provide applications of the multivariable linear singular system theories to electric circuits which may appear in some electronic equipments. The impulsive or discontinuous behavior which is not desirable can be removed by the set of admissible initial conditions. The output-nulling supremal (A,E,B) invariant subspace and the singular system structure algorithm are applied to this double-input double-output electric circuit. The Weierstrass form of the pencil (s E-A) is related to the output-nulling supremal (A,E,B) invariant subspace from which the time domain solutions of the finite and the infinite subsystems are found. The generalized Lyapunov equation for this application with feedback is studied and finally, the use of orthogonal functions in singular systems is discussed.

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On Lagrangian Approach to Mixed $H_2$/H\ulcorner Control Problem: The State Feedback Case

  • Cho, Kwang-Hyun;Lim, Jong-Tae
    • Journal of Electrical Engineering and information Science
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    • v.1 no.1
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    • pp.29-38
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    • 1996
  • To improve the reliability of control systems, certain robustness to plant uncertainties and disturbance inputs is required in terms of well founded mathematical basis. Robust control theory was set up and developed until now from this motivation. In this field, H$_2$or H\ulcorner norm performance measures are frequently used nowadays. Moreover a mixed H$_2$/H\ulcorner control problem is introduced to combine the merits of each measure since H$_2$control usually makes more sense for performance while H\ulcorner control is better for robustness to plant perturbations. However only some partial analytic solutions are developed to this problem under certain special cases at this time. In this paper, the mixed H$_2$/H\ulcorner control problem is considered. The analytic(or semi-analytic) solutions of (sub)optimal mixed H$_2$/H\ulcorner state-feedback controller are derived for the scalar plant case and the multivariable plant case, respectively. An illustrative example is given to compare the proposed analytic solution with the existing numerical one.

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