• Title/Summary/Keyword: Two-degree-of-freedom control systems

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Inversion-Based Robust Output Tracking of Differentially Flat Nonlinear Systems

  • Joo, Jin-Man;Park, in-Bae;Park, Yoon-Ho
    • Transactions on Control, Automation and Systems Engineering
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    • v.3 no.1
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    • pp.21-26
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    • 2001
  • In this study, we propose a two degree of freedom robust output tracking control method for a class of nonlinear system. We consider hyperbolically nonminimum phase single-input single-output uncertain nonlinear systems. We also consider the case that the nominal input-state equation is differentially flat. Nominal stable state trajectory is obtained in the flat output space via the flat output. Nominal feedforward control input is also computed from the nominal state trajectory. Due to the nature of the method, the generated flat output trajectory and control input are noncausal. Robust feedback control is designed to stabilize the systems around the nominal trajectory. A numerical example is given is given to demonstrate that robust tracking is achieved.

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EVALUATION OF FOUR-WHEEL-STEERING SYSTEM FROM THE VIEWPOINT OF LANE-KEEPING CONTROL

  • Raksincharoensak, P.;Mouri, H.I;Nagai, M.I
    • International Journal of Automotive Technology
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    • v.5 no.2
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    • pp.69-76
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    • 2004
  • This paper evaluates the effectiveness of four-wheel-steering system from the viewpoint of lane-keeping control theory. In this paper, the lane-keeping control system is designed on the basis of the four-wheel-steering automobiles whose desired steering response is realized with the application of model matching control. Two types of desired steering responses are presented in this paper. One is zero-sideslip response, the other one is steering response which realizes zero-phase-delay of lateral acceleration. Using simplified linear two degree-of-freedom bicycle model, simulation study and theoretical analysis are conducted to evaluate the lane-keeping control performance of active four-wheel-steering automobiles which have different desired steering responses. Finally, the evaluation is conducted on straight and curved roadway tracking maneuvers.

On the structure of a discrete-time $H_{\infty}$ two-degrees-of-freedom controller (이산시간 $H_{\infty}$ 2-자유도 제어기의 구조에 관한 연구)

  • 최병욱
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.569-572
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    • 1996
  • Explicit state-space formulate for an H$_{.inf}$ based two-degrees-of-freedom robust controller are derived in discrete-time. The controller provides robust stability against coprime factor uncertainty, and a degree of robust performance in the sense of making the closed-loop system match a prespecified reference model. It is shown that the controller consists of a plant observer, the chosen reference model, and a generalized state feedback law associated with the plant and model states. The controller structure is shown to be relatively simple and thus may reduce the computational load on the digital control processor.

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Overlapping Decentralized Robust EA Control Design for an Active Suspension System of a Full Car Model (전차량의 능동 현가 장치 제어를 위한 중복 분산형 견실 고유구조지정 제어기 설계)

  • 정용하;최재원;김영호
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.217-217
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    • 2000
  • A decentralized robust EA(eigensoucture assignment) controller is designed for an active suspension system of a vehicle based on a full car model with 7-degree of freedom. Using overlapping decomposition, the full car model is decentralized by two half car models. For each half car model, a robust eigenstructure assignment controller can be obtained by using optimization approach. The performance of the decentralized robust EA controller is compared with that of a conventional centralized EA controller through computer simulations.

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Necessary and Sufficient Conditions for the Existence of Decoupling Controllers in the Generalized Plant Model

  • Park, Ki-Heon;Choi, Goon-Ho
    • Journal of Electrical Engineering and Technology
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    • v.6 no.5
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    • pp.706-712
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    • 2011
  • Necessary and sufficient conditions for the existence of diagonal, block-diagonal, and triangular decoupling controllers in linear multivariable systems for the most general setting are presented. The plant model in this study is sufficiently general to accommodate non-square plant and non-unity feedback cases with one-degree-of-freedom (1DOF) or two-degree-of-freedom (2DOF) controller configuration. The existence condition is described in terms of rank conditions on the coefficient matrices in partial fraction expansions.

Design of an Omni-directional mobile Robot with 3 Caster Wheels

  • Kim, Wheekuk;Kim, Do-Hyung;Yi, Byung-Ju;Yang, Sung-Il;You, Bum-Jae
    • Transactions on Control, Automation and Systems Engineering
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    • v.3 no.4
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    • pp.210-216
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    • 2001
  • In this paper, design of a 3-degree-of-freedom mobile robot with three caster wheels is performed. Initially, kinematic modeling and singularity analysis of the mobile robot is performed. It is found that the singularity can be avoided when the robot has more than two wheels on which two active joints are located. Optimal kinematic parameters of mobile robots with three active joint variables and with four active joint variables are obtained and compared with respect to kinematic isotropic index of the Jacobian matrix of the mobile robot which is functions of the wheel radius and the length of steering link.

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Dynamic characteristics of an ideally designed robot

  • Park, H.S.;Cho, H.S.
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10b
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    • pp.969-972
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    • 1988
  • A conventional robotic manipulator is usually a very complicated system whose dynamics is too computationally time consuming for dynamic analysis and real time control. The authors have proposed the general design criteria of the robot links which greatly simplify the robot dynamic characteristics. In this paper these design guidelines are applied to a 6 degree of freedom PUMA 560 robot in order to realize actual implementation of the design concept. Based upon the design concept, the dynamic equations of the redesigned robot were derived. Dynamic characteristics of two systems, the ideally designed and conventional robot, are compared with respect to the joint input torque characteristics and degree of the coupling between the robot joints.

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$H_{\infty}$ Control of Two-Mass System with Resonance Ratio Control (공진비제어를 갖는 2관성계의 $H_{\infty}$ 제어)

  • Kim, Jin-Soo;Kim, Seoung-Beom;Kim, Hyun-Jung;Kim, Young-Seok
    • Proceedings of the KIEE Conference
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    • 1996.07a
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    • pp.504-506
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    • 1996
  • In the industrial motor drive systems, a shaft torsional vibration is often generated when a motor and a load are connected with a flexible shaft. This paper treats the vibration suppression control of this system. The resonance ratio control is proposed for suppressing the torsional vibration. In this paper, first, the optimal resonance ratio is sellected and the controller to the resonance ratio controlled outward plant is designed based on $H_{\infty}$ control theory. Secondly, the two-degree-of-freedom controller, which includes the above $H_{\infty}$ controller, is designed in order to improve the tracking characteristics for the commanded speed. The control performances are examined by the computer simulations and it is clarified that the proposed speed control system is useful for two-mass system.

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Stable Haptic Display Based on Coupling Impedance for Internal and External Forces

  • Kawai, Masayuki;Yoshikawa, Tsuneo
    • Transactions on Control, Automation and Systems Engineering
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    • v.4 no.1
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    • pp.2-8
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    • 2002
  • This paper discusses haptic display for grasping a virtual object by two fingers. Much research has been done on fundamental analysis for stability of haptic display. But it is difficult to apply the results immediately to grasping situations by two fingers, since the studies usually deal with a single device and a single object and the fingertip force in grasping situations has two components, internal and external components. The conventional methods, which specify the coupling impedance at each contact point separately, have no other alternative but to specify the impedance for the sum of the internal and external components. So even if only the impedance for the external force should be changed, the impedance for the internal force is also changed at the same time. In this paper, a new method, in which the coupling impedance is specified separately for the internal and external forces, is proposed and the stability of the proposed method is discussed using passivity analysis for 1 -DOF(Degree-Of-Freedom) system. Finally, some experiments are performed to study the effects of the proposed method.

Nonlinear Control of an Electromagnetic Levitation System Using High-gain Observers for Mmagnetic Bearing Wheels (고이득 관측기를 이용한 자기 베어링 휠용 자기 부상 시스템의 비선형 제어)

  • Choi, Ho-Lim;Shin, Hee-Sub;Koo, Min-Sung;Lim, Jong-Tae;Kim, Yong-Min
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.6
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    • pp.573-580
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    • 2009
  • In this paper, we develop a functional test model for magnetic bearing wheels. The functional test model is an electromagnetic levitation system that has three degree of freedom, which consists of one axial suspension from gravity and two axes gimbaling capability to small angels. A nonlinear controller with high-gain observers is proposed and the real-time experiment results show that the rotor is accurately levitated at the desired position and well-balanced, which is a suitable result for the potential use an magnetic bearing wheels. Also, the proposed scheme exhibits better performance when it is compared with the conventional PID control method.