• Title/Summary/Keyword: Two-Degree-of-Freedom

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Robust Stability of Two-Degrees-of-Freedom Servosystem with Stricture and Unstructured Uncertainties

  • Kim, Young-Bok
    • Journal of Mechanical Science and Technology
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    • v.14 no.11
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    • pp.1198-1205
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    • 2000
  • A two-degrees-of-freedom servosystem for step-type reference signals has been preposed, in which the integral compensation is effective only when there is a modeling error or a disturbance input. this paper considers robust stability of the servosystem incorporating an observer against both structured and unstructured uncertainties of the plant. A condition is obtained as a linear matrix inequality, under which the servosystem is robustly stable independently of the gain of the integral compensator. This result implies that we can tune the gain to achieve a desirable transient response of the servpsystem preserving robust stability. An example is presented to demonstrate that under the robust stability condition, the transient response can be improved by increasing the gain of the integral compensator.

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Simple Two-Degree of Freedom PID Controllers Tuning Table Based on CDM

  • Benjanarasuth, Taworn;Ngamwiwit, Jongkol;Komine, Noriyuki
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.256-261
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    • 2004
  • This paper presents a simple two-degree of freedom PID tuning table based on the CDM design method. The structure of the control system will be composed of plant, P or PI or PID controller and a pre-filter. The finalized formula can be used based on the experimental test of the plant in the same manner as the Ziegler-Nichols' second method. That is; users just need to find the critical gain and critical period experimentally and the parameters of the P, PI or PID controller with the pre-filter can be obtained by substituting the values of critical gain and critical period in the tuning table. The simulation results of the control systems utilizing the proposed controllers compared with those using the Ziegler-Nichols' second method will also be demonstrated.

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A Design of Linear Multivariable Robust-Servo-System by Two-Degree-of-Freedom H$\infty$ Optimum Method (선형다변수계의 2자유도 H$\infty$ 최적방법에 의한 Robust-Servo System의 설계)

  • Hwang, C.S.;Kim, D.W.;Kim, M.S.;Kim, J.T.;Shim, J.S.
    • Proceedings of the KIEE Conference
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    • 1992.07a
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    • pp.282-284
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    • 1992
  • In this paper, we deal with design method of two-degree-of-freedom control system which desired property of robustness and tracking can be achieved simultaneously, Controller is designed by means of model matching method and H$\infty$ weighted sensitivity minimization design method. Satisfactory result of design example is obtained by simulation.

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Trajectory Control of Direct Drive Robot with Two-Degree-of-Freedom Compensator (2자유도 보상기를 이용한 직접 구동형 로봇의 궤도제어)

  • Shin, Jeong-Ho;Fujiune, Konji;Suzuki, Tatsuya;Okuma, Shigeru
    • Proceedings of the KIEE Conference
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    • 1993.11a
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    • pp.304-306
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    • 1993
  • In this paper, the authors show a link between a heuristic controller used in industry and a theoretical generalized controller. First, we clarify the internal structure of the generalized two-degree-of-freedom controller which yields a link between the theoretical researches and the practical applications. Secondly, we indicate how to blend identification and control together without any modification of the controller. This is in fact the problem of closed-loop identification. Thirdly, we propose a design technique of a free parameter taking into account a robust stability based on the information obtained from the identification. Finally, we apply the proposed algorithm to trajectory control of DD robot.

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Design of Two-Degree-of-Freedom PI Controllers using the Mixed $H_2/H_{\infty}$ Methods ($H_2 / H_{\infty}$ 혼합 기법을 이용한 2자유도 PI 제어기의 설계)

  • 조용석;박기헌
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.6
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    • pp.12-22
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    • 1996
  • A numerous designs of PI controllers have been suggested to solve out trade-off between tracing and regulating problems. We constructed the PI controller system with two-degree-of-freedom that is more analytic and a better approach to a practical one. In the conventional H$_{2}$ design of optimal PI controllers, the cost function includes only the plant output terms due to the divergent problems. Since the platn input temr is not considered in PI controller design, occasionally, the plant input thends to be either very large or saturated. To solve the prior mentioned problems, we employed a mixed $H_2/H_{\infty}$ method that combines the H$_{2}$ design method to decide optimal parameters of PI controller and the $H_2/H_{\infty}$ design method to minimize the maximum amplitude of plant input. The calculation time of the H$_{infty}$ norm was considerably reduced by the simple scalar function obtained by the wiener-hopf factorization of non-scalar functions.

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Anti-sway Control for Crane System Using Two Degree of Freedom Servo Controller (2자유도 서보제어기를 이용한 크레인의 Anti-sway 제어)

  • 이진우;여태경;김환성;김상봉
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.555-558
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    • 1995
  • In designing the anti-sway controller for crane system in the industrial field, one of the basic problem is to keep the stability of system, even if the mathematical model of the plant is not exact and disturbance exists. Form this point of view, a two-degree-of-freedom(2DOF) servo controller effact to the system in which the integral compensation is effctive only when a modeling error and/or a disturbance input exist. In this paper, the change of load weight and variation of wire rope length considered as the structured uncertainty, and design the 2DOF servo contorller using independently the informations of reference signal and control output with both feedforward and feedback. The effectivenss is proved through the results for the anti-sway system in the system with the position control of trolley.

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Robust Stability of a Servosystem with Multiplicative Uncertainty (곱셈형 불확실성을 갖는 서보계의 강인한 안정성)

  • Kim, Yeong Bok
    • Journal of Advanced Marine Engineering and Technology
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    • v.20 no.2
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    • pp.125-125
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    • 1996
  • In order to reject the steady-state tracking error, it is common to introduce integral compensators in servosystems for constant reference signals. However, the mathematical model of the plant is exact and no disturbance input exists, the integral compensation is not necessary. From this point of view, a two-degree-of-freedom(2DOF) servosystem has been proposed, in which the integral compensation is effective only when there is a modeling error or a disturbance input. The present paper considers robust stability of this 2DOF servosystem to the unstructured uncertainty of the controlled plant. A robust stability condition is obtained using Riccati inequality, which is independent of the gain of the integral compensator. An example is presented, which demonstrates that the tracking response of the 2DOF servosystem with uncertainty becomes faster when the integral gain made larger under the robust stability condition.

Robust Stability of a Servosystem with Multiplicative Uncertainty (곱셈형 불확실성을 갖는 서보계의 강인한 안정성)

  • 김영복
    • Journal of Advanced Marine Engineering and Technology
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    • v.20 no.2
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    • pp.57-62
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    • 1996
  • In order to reject the steady-state tracking error, it is common to introduce integral compensators in servosystems for constant reference signals. However, the mathematical model of the plant is exact and no disturbance input exists, the integral compensation is not necessary. From this point of view, a two-degree-of-freedom(2DOF) servosystem has been proposed, in which the integral compensation is effective only when there is a modeling error or a disturbance input. The present paper considers robust stability of this 2DOF servosystem to the unstructured uncertainty of the controlled plant. A robust stability condition is obtained using Riccati inequality, which is independent of the gain of the integral compensator. An example is presented, which demonstrates that the tracking response of the 2DOF servosystem with uncertainty becomes faster when the integral gain made larger under the robust stability condition.

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A study on the chatter vibration of two degree of freedom systems (2자유도 채터진동의 특성에 관한 연구)

  • Kim, Jeong-Suk;Kang, Myeong-Chang;Kim, Byeong-Ryoung
    • Journal of the Korean Society for Precision Engineering
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    • v.10 no.4
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    • pp.216-226
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    • 1993
  • Three dimensional cutting is considered as an equivalent orthogonal cutting through the plane containing both the cutting velocity vector and the chip flow velocity vector in dynamic cutting process. An analytical expression of dynamic cutting force is obtained from the cutting parameters determined by the static cutting. Particular attention is paid to the energy supplied to the vibratory system of cutting tool with two degree of freedom. In this approach, the phase lag of the horizontal vibration of the tool behind the vertical vibration and the direction angle of the fluctuating cutting force is considered in point of stability limits. Chatter vibration can be effectively suppressed by relatively increasing the spring constant and the damping coefficient of the cutting system in the vertical cutting force direction. A good agreement is found between the stability limits predicted by theoretical value and experimental results.

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A Study on Vibration Control of Multi-layer Structure(I) (다층 층상 구조물의 진동제어에 관한 연구 (I))

  • Jeong, Hae-Jong;Byeon, Jeong-Hwan;Yang, Ju-Ho
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.33 no.2
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    • pp.141-148
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    • 1997
  • This paper is concerned with the vibration control of multi-layer structure for ultra-tall buildings and main tower of large bridge etc. We have modeled the multi-layer structure with the distributed mass system as the lumped mass system of two-degree-of-freedom structure and made experimental equipment. The LQ optimal control theory is applied to the design of the control system. The designed control system is simulated by computer. As a result, the LQ regulator showed good vibration control performance with impact excitation.

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