• Title/Summary/Keyword: feedback control law

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Dynamic Output Feedback Passivation of Nonlinear Systems with Application to Flexible Joint Robots (비선형 시스템의 동적 출력 궤환 수동화의 유연 관절 로봇에의 적용)

  • Son Young-Ik;Lim Seungchul;Kim Kab-Il
    • Journal of Institute of Control, Robotics and Systems
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    • v.10 no.12
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    • pp.1256-1263
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    • 2004
  • Output feedback passivation problem is studied when the given system is not minimum-phase or does not have relative degree one. Using a parallel connection with an additional dynamics, the authors provide a dynamic output feedback control law which renders the composite system passive. Sufficient conditions are presented under which the composite system is output feedback passive. As an application of the dynamic passivation scheme, a point-to-point control law for a flexible joint robot is presented when only the position measurements are available. This provides an alternative way of replacing the role of the velocity measurements for the proportional-derivative (PD) feedback law. The performance of the proposed control law is illustrated in the simulation studies of a manipulator with three revolute elastic joints.

Low-Order Dynamic Output Feedback Controller Design Against Measurement Noise (측정 잡음을 고려한 저차의 동적출력궤환 제어기 설계)

  • Son, Young-Ik;Jo, Nam-Hoon;Shim, Hyung-Bo
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.2
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    • pp.383-388
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    • 2007
  • This paper considers a low-order dynamic output feedback controller design problem. Since the proposed control law inherently has a low-pass filter property, it can alleviate the mal-effects of the sensor noise without additional filter designs. Frequency domain analysis shows the characteristics of the proposed control law against measurement noise. The effectiveness of the proposed control law is illustrated by numerical simulations with a rotary inverted pendulum and a convey-crane. Using only one integrator the proposed control law has the advantage to the stabilization problem with sensor noise as well as it can successfully replace the measurements of derivative terms in a state feedback control law.

Feedback stabilization of linear systems with delay in control by receding horizon (지연요소를 갖는 시스템의 안정화 방법)

  • 권욱현
    • 전기의세계
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    • v.28 no.5
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    • pp.44-48
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    • 1979
  • For ordinary systems the receding horizon method has beer proved by the author as a very useful and easy tool to find stable feedback controls. In this paper an open-loop optimal control which minimizes the control energy with a suitable upper limit and terminal control and state constraints is derived and then transformed to the closed-loop control. The stable feedback control law is obtained from the closed-loop control. The stable feedback control law is obtained from the closed-loop control by the receding horizon concept. It is shown by the Lyapunov method that the control law derived from the receding, horizon concept is asymtotically stable under the complete controllability condition. The stable feedback control which is similar to but more general than the receding horizon control is presented in this paper To the author's knowledge the control laws in this paper are easiest to stabilize systems with delay in control.

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Feedback Linearization Control of Container Cranes (컨테이너 크레인의 되먹임 선형화제어)

  • PARK HAHN;CHWA DONG-KYUNG;HONG KEUM-SHIK
    • Journal of Ocean Engineering and Technology
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    • v.19 no.5 s.66
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    • pp.58-64
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    • 2005
  • In this paper, a feedback linearizing anti-sway control law, using a 2-D model for container cranes, is investigated. The equations of motion are first derived from Lagrange's equation. Then, by substituting the sway dynamics into the trolley dynamics, a reduction of variables from three (trolley, hoist, sway) to two (trolley, hoist) is pursued. The anti-sway control law is designed based on the Lyapunov stability theorem. The proposed control law guarantees the uniform asymptotic stability of the closed-loop system. The simulation results of the derived control law, using MATLAB/Simulink, are compared with those of the sliding mode control law, noted in previous literature. Also, experimental results using a 3-D pilot crane are provided.

Adaptive control of overmodeled linear time-invariant discrete systems (과모델된 선형 시불변 이산 시간 시스템의 적응 제어법칙)

  • Yang, Hyun-Suk;Lee, Ho-Shin
    • Journal of Institute of Control, Robotics and Systems
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    • v.2 no.2
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    • pp.67-72
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    • 1996
  • This paper presents a parameter adaptive control law that stabilizes and asymptotically regulates any single-input, linear time-invariant, controllable and observable, discrete-time system when only the upper bounds on the order of the system is given. The algorithm presented in this paper comprises basically a nonlinear state feedback law which is represented by functions of the state vector in the controllable subspace of the model, an adaptive identifier of plant parameters which uses inputs and outputs of a certain length, and an adaptive law for feedback gain adjustment. A new psedu-inverse algorithm is used for the adaptive feedback gain adjustment rather than a least-square algorithm. The proposed feedback law results in not only uniform boundedness of the state vector to zero. The superiority of the proposed algorithm over other algorithms is shown through some examples.

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Robust Controller Design for Non-square Linear Systems Using a Passivation Approach (수동화 기법에 의한 비정방 선형 시스템의 강인 제어기 설계)

  • 손영익
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.11
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    • pp.907-915
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    • 2002
  • We present a state-space approach to design a passivity-based dynamic output feedback control of a finite collection of non-square linear systems. We first determine a squaring gain matrix and an additional dynamics that is connected to the systems in a feedforward way, then a static passivating (i.e. rendering passive) control law is designed. Consequently, the actual feedback controller will be the static control law combined with the feedforward dynamics. A necessary and sufficient condition for the existence of the parallel feedfornward compensator (PFC) is given by the static output feedback fomulation, which enables to utilize linear matrix inequality (LMI). The effectiveness of the proposed method is illustrated by some examples including the systems which can be stabilized by the proprotional-derivative (PD) control law.

Feedback Control of a Circular Cylinder Wake with Rotational Oscillation (주기적 회전을 이용한 원봉 후류의 되먹임 제어)

  • Baek, Seung-Jin;Seong, Hyeong-Jin
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.26 no.9
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    • pp.1234-1240
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    • 2002
  • A new feedback control law is proposed and tested for suppressing the vortex shedding from a circular cylinder in a uniform flow. The lift coefficient ( $C_{L}$) is employed as a feedback control signal and the control forcing is given by a rotational oscillation of the cylinder. The influence of the feedback transfer function on the $C_{L}$ reduction is examined. The main rationale of the feedback control is that a feedback control forcing is imposed at a phase which is located outside the range of lock-on. By applying the feedback control law, $C_{L}$ is reduced significantly. Furthermore, the reduction mechanism of $C_{L}$ is analyzed by showing the vortex formation modes with respect to the forcing phase.e.ase.e.

Sensory Feedback for High Dissymmetric Master-Slave Dexterity

  • Cotsaftis, Michel;Keskinen, Erno
    • Transactions on Control, Automation and Systems Engineering
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    • v.4 no.1
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    • pp.38-42
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    • 2002
  • Conditions are discussed for operating a dissymmetric human master-small (or micro) slave system in best (large position gain-small velocity gain) conditions allowing higher operator dexterity when real effects (joint compliance, link flexion delay and transmission distortion) are taken into account. It is shown that position PD feedback law advantage for ideal case no longer holds, and that more complicated feedback law depending on real effects has to be implemented with adapted transmission line. Drawback is slowdown of master slave interaction, suggesting to use more advanced predictive methods for the master and more intelligent control law for the slave.

Control of Semi-active Suspensions for Passenger Cars(I) (승용차용 반능동 현가시스템의 제어)

  • Jo, Yeong-Wan;Lee, Gyeong-Su
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.12
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    • pp.2179-2186
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    • 1997
  • In this paper, the performance of a semi-active suspension system for a passenger car has been investigated. Alternative semi-active suspensions control laws has been compared via simulations. The control laws investigated in this study are : sprung mass velocity feedback control law, sky-hook damping control law, and state feedback control law. Simulation results show that a semi-active suspension has potential to improve ride quality of automobiles.

Design of a dynamic output feedback law for replacing the output derivatives

  • Son, Young-I.;Shim, Hyung-Bo;Jo, Nam-H.;Kim, Kab-Il
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.337-341
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    • 2003
  • This paper provides a design method for a dynamic output feedback controller which stabilizes a class of linear time invariant systems. We suppose all the states of the given system is not measurable and only the outputs are used to stabilize the system. The systems considered cannot be stabilized by a static output feedback only. In the scheme we first assume that the given system can be stabilized by a state feedback composed of its output, velocity of the output and its higher order derivative terms. Instead of using the derivatives of the output, however, a dynamic system is constructed systematically which replaces the role of the derivative terms. Then, a high-gain output feedback stabilizes the composite system together with the newly constructed system. The performance of the proposed control law is illustrated in the comparative simulation studies of a numerical example with an observer-based control law.

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