• Title/Summary/Keyword: state feedback control

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Adaptive Neural Control for Strict-feedback Nonlinear Systems without Backstepping (순궤환 비선형계통의 백스테핑 없는 적응 신경망 제어기)

  • Park, Jang-Hyun;Kim, Seong-Hwan;Park, Young-Hwan
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.5
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    • pp.852-857
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    • 2008
  • A new adaptive neuro-control algorithm for a SISO strict-feedback nonlinear system is proposed. All the previous adaptive neural control algorithms for strict-feedback nonlinear systems are based on the backstepping scheme, which makes the control law and stability analysis very complicated. The main contribution of the proposed method is that it demonstrates that the state-feedback control of the strict-feedback system can be viewed as the output-feedback control problem of the system in the normal form. As a result, the proposed control algorithm is considerably simpler than the previous ones based on backstepping. Depending heavily on the universal approximation property of the neural network (NN), only one NN is employed to approximate the lumped uncertain system nonlinearity. The Lyapunov stability of the NN weights and filtered tracking error is guaranteed in the semi-global sense.

State Feedback Controller Design for Control Moment Gyroscope (Control Moment Gyroscope의 상태되먹임 제어기 설계)

  • Kim, Tae-Yeon;Lyou, Joon
    • Proceedings of the KIEE Conference
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    • 2007.10a
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    • pp.70-71
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    • 2007
  • This paper presents an application of LQR(Linear Quadratic Regulator) for experimental control moment gyroscope. To be specific, mathematical model is first derived based on the quaternion and Lagrange's equation, state feedback controller using LQR scheme is designed, and to show the stability of the scheme, experimental results are given.

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Stability Condition of Robust and Non-fragile $H^{\infty}$ Hovering Control with Real-time Tuning Available Fuzzy Compensator

  • Kim, Joon-Ki;Lim, Do-Hyung;Kim, Won-Ki;Kang, Soon-Ju;Park, Hong-Bae
    • International Journal of Control, Automation, and Systems
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    • v.5 no.4
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    • pp.364-371
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    • 2007
  • In this paper, we describe the synthesis of robust and non-fragile $H^{\infty}$ state feedback controllers for linear systems with affine parameter uncertainties, as well as a static state feedback controller with poly topic uncertainty. The sufficient condition of controller existence, the design method of robust and non-fragile $H^{\infty}$ static state feedback controller with fuzzy compensator, and the region of controllers that satisfies non-fragility are presented. We show that the resulting controller guarantees the asymptotic stability and disturbance attenuation of the closed loop system in spite of controller gain variations within a resulted polytopic region.

$H_{\infty}$ Fuzzy State-Feedback Control Design for Uncertain Nonlinear Descriptor Systems;An LMI Approach

  • Assawinchaichote, W.;Nguang, S.K.
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1037-1041
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    • 2004
  • This paper examines the problem of designing an $H_{\infty}$ fuzzy state-feedback controller for a class of uncertain nonlinear descriptor systems which is described by a Takagi-Sugeno (TS) fuzzy model. Based on a linear matrix inequality (LMI) approach, we develop an $H_{\infty}$ state-feedback controller which guarantees the $L_2$-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value for this class of systems. A numerical example is provided to illustrate the design developed in this paper.

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Development of partial state feedback control algorithm for nonlinear overhead crane whose two axes are moved simultaneously (두 축이 동시에 운동하는 비선형 천장 크레인의 부분상태 궤환제어 알고리즘 개발)

  • 이종규;이상룡
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.395-398
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    • 1996
  • In this study, when the nonlinear overhead crane which allows simultaneously travel and traverse motion moves a desired transport route, the object suspended the end of rope does undesirable swing motion. Nonlinear overhead crane pertubes in the vicinity of an operating point, therefore the nonlinear overhead crane is modified to linear overhead crane for the operating point. The linear overhead crane was controlled to swing angles of the object by the ratio of torque inputs to motors of the girder and the trolley. As a basis for the result of the linear overhead crane, the nonlinear overhead crane was controlled swing angles of the object and positions of the overhead crane without collision with environmental equipment by partial state feedback control.

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A Global Regulation Method of Nonlinear Systems with Unbounded Parameters Under State Feedback Frame (비억제 파라미터를 갖는 비선형 시스템의 전역 안정화)

  • Koo, Min-Sung;Choi, Ho-Lim
    • Journal of Institute of Control, Robotics and Systems
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    • v.22 no.3
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    • pp.171-176
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    • 2016
  • In this paper, we consider a regulation problem of nonlinear systems under two triangular conditions where there possibly exist unbounded parameters in the systems. We propose a state feedback controller with dynamic gains in order to deal with unbounded parameters based on the condition of the time-varying rate of the growing parameter. The analysis of our control scheme is carried out by Lyapunov stability method. Our control method is verified by simulation results.

Analytical Development of a Robust Controller for Smart Structural Systems

  • Park Chul Hue;Hong Seong Il;Park Hyun Chul
    • Journal of Mechanical Science and Technology
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    • v.19 no.5
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    • pp.1138-1147
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    • 2005
  • This paper aims at demonstrating the feasibility of active control of beams with a multiobjective state-feedback control technique. The multiobjective state-feedback controller is de­signed on a linear matrix inequality (LMI) approach for the multiobjective synthesis. The design objectives are to achieve a mix of Hoo performance and H2 performance satisfying constraints on the closed-loop pole locations in the face of model uncertainties. The controller is also designed to reject the effects of the noise and external of disturbances. For the theoretical analysis, the governing equation of motion is derived by Hamilton's principle to describe the dynamics of a smart structural system. Numerical examples are presented to demonstrate the effectiveness of the integrated robust controller in damping out the multiple vibration modes of the piezo/beam system.

Design of a State Feedback Controller with a Current Estimator in Brushless DC Motors (전류추정기에 의한 브러시리스 직류전동기의 상태변수 궤환제어기 설계)

  • Oh, Tae-Seok;Shin, Yun-Su;Kim, Il-Hwan
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.6
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    • pp.589-595
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    • 2007
  • This paper presents a new method on controller design of brushless dc motors. In such drives the current ripples are generated by motor inductance in stator windings and the back EMF. To suppress the current ripples the current controller is generally used. To minimize the size and the cost of the drives it is desirable to control motors without the current controller and the current sensing circuits. To estimate the motor CUlTent it is modeled by a neural network that is contigured as an output-error dynamic system. The identified model is essentially a one step ahead prediction structure in which past inputs and outputs are used to calculate the current output. Using the model, a state feedback controller to compensate the effects of disturbance has been designed. The controller is implemented by a 16-bit microprocessor and the effectiveness of the proposed control method is verified through experiments.

Multivariable State Feedback Control for Three-Phase Power Conversion systems (3상 전력변환 시스템을 위한 다변수 상태궤환 제어)

  • 이동춘;이지명
    • The Transactions of the Korean Institute of Power Electronics
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    • v.2 no.1
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    • pp.1-11
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    • 1997
  • In this paper, a novel multivariable state feedback control with feedforward control is proposed to improve control performance of power conversion systems. The targets of the application are three-phase voltage-source PWM converter and inverter system, and current-source PWM converter and inverter system, of which equivalent circuits and models are derived and analyzed. Various simulation results are presented to verify the validity of the proposed scheme.

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Control Education Using Pendulum Apparatus

  • Hoshino, Tasuku;Yamakita, Masaki;Furuta, Katsuhisa
    • Transactions on Control, Automation and Systems Engineering
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    • v.2 no.3
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    • pp.157-162
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    • 2000
  • The inverted pendulum is a typical example of unstable systems and has been used for verification of designed control systems. It is also very popular in control education in laboratories, serving as a good example to show the utility of the state space approach to the controller design. This paper shows two kinds of experiment using inverted pendulum: one is the stabilization of a single spherical inverted pendulum by a plane manipulator using visual feedback, and the other is the state transfer control of a double pendulum. In the former experiment, the feedback stabilization using a CCD camera has major importance as an example of controller implementation with non-contact measurement. The latter involves the standard stabilizing regulation method and nonlinear control techniques. The details of the experimental systems, the control algorithms and the experimental results will be given.

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