• Title/Summary/Keyword: robust H$^{\infty}$ control

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$H^{\infty}$ Controller Design for RTP System using Weighted Mixed Sensitivity Minimization (하중 혼합감도함수를 이용한 RTP 시스템의 $H^{\infty}$ 제어기 설계)

  • Lee, Sang-Kyung;Kim, Jong-Hae;Oh, Do-Chang;Park, Hong-Bae
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.35S no.6
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    • pp.55-65
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    • 1998
  • In industrial fields, RTP(rapid thermal processing) system is widely used for improving the oxidation and the annealing in semiconductor manufacturing process. The main control factors are temperature control of wafer and uniformity in the wafer. In this paper, we propose an $H^{\infty}$ controller design of RTP system satisfying robust stability and performance using weighted mixed sensitivity miniimization and loop shaping technique. And we need reduction technique because of the difficulty of implementation with the obtained high order controller for original model and reduced models, namely, Hankel, square-root balanced, and Schur balanced methods. An example is proposed to show the validity of the proposed method.

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ROBUST CONTROL OF POSITIONING SYSTEMS WITH A BANG-BANG ACTUATOR (뱅-뱅 액츄에이터를 가진 위치 제어계의 강인제어)

  • 최진태;김종식
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.04a
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    • pp.456-460
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    • 1996
  • A nonlinear control scheme for preventing limit cycle due to the nonlinearity of themulti-step bang-bang actuator in mechanical position control systems is proposed. A linearized model, SIDF, fora multi-step bang-bang actuator is introduced to compensate the nonlinearity of the multi-step bang-bang actuator. Using that model, a $H_{\infty}$robust controller for position control systms with a bang-bang actuator is proposed by loop shaping tecniques with normalized coprime factorization stabilization to address the robustness. The proposed scheme needs a smaller deadband as a result of compensating the nonlinearity of the bang-bang actuator. A single-axis servo system is served in order to verify the proposed control scheme experimentally. Experimental results show that the controller can satisfy the special intersts, silent contact switching of the actuator.r.

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Vibration Control of Steel-Frame Structures by a Linear Motor Damper (선형 모터 댐퍼를 이용한 철골 구조물의 진동제어)

  • 문석준;정태영;임채욱;정정교;박진일;김두훈
    • Journal of the Earthquake Engineering Society of Korea
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    • v.7 no.2
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    • pp.49-58
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    • 2003
  • The linear motor has not only no backlash and less friction, resulting in very high accuracy, but also mechanical simplicity, higher reliability, and longer lifetime. In this study, a large-capacity hybrid mass damper using linear motor principle has been developed to suppress vibration of large structures. It is designated linear motor damper in this paper. The LMD has been designed to be able to move the auxiliary damper mass of 155kg up to $\pm$250mm stroke. A series of performance tests for LMD control system with $H_{winfty}$ robust controller have been carried out on the full-scale steel frame structure. Through the performance tests, it is confirmed that vibration response levels are reduced down 10dB for the first and second modes of the test structure.

Robust Control System Design for Robot Motion Regeneration under Disturbance Input (로봇 모션 재현을 위한 강인한 제어시스템 설계: 외란을 고려한 경우)

  • Dang, Dac-Chi.;Kang, C.N.;Kim, Y.B.
    • Journal of Drive and Control
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    • v.12 no.3
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    • pp.1-10
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    • 2015
  • In this paper, the authors propose a method to easily recognize and reproduce the robot motion made by an operator. This method is targets for applications similar to painting and welding, and it is based on a process of that identifies a family of plants, by control design and by conducting an experimental evaluation. In this study, the models and controllers for all joints of 3DOF robot system are obtained individually. And a robust control system for motion control of the individual joints is designed based on $H_{\infty}$ control framework. An experimental comparison is made between the proposed control method and existing PID control method. And the results indicate that the proposed designing method is more efficient and useful than conventional method.

Theoretical and experimental study of robustness based design of single-layer grid structures

  • Wu, Hui;Zhang, Cheng;Gao, Bo-Qing;Ye, Jun
    • Structural Engineering and Mechanics
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    • v.52 no.1
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    • pp.19-33
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    • 2014
  • Structural robustness refers to the ability of a structure to avoid disproportionate consequences to the original cause. Currently attentions focus on the concepts of structural robustness, and discussions on methods of robustness based structural design are rare. Firstly, taking basis in robust $H_{\infty}$ control theory, structural robustness is assessed by $H_{\infty}$ norm of the system transfer function. Then using the SIMP material model, robustness based design of grid structures is formulated as a continuum topology optimization problem, where the relative density of each element and structural robustness are considered as the design variable and the optimization objective respectively. Generalized elitist genetic algorithm is used to solve the optimization problem. As examples, robustness configurations of plane stress model and the rectangular hyperbolic shell model were obtained by robustness based structural design. Finally, two models of single-layer grid structures were designed by conventional and robustness based method respectively. Different interference scenarios were simulated by static and impact experiments, and robustness of the models were analyzed and compared. The results show that the $H_{\infty}$ structural robustness index can indicate whether the structural response is proportional to the original cause. Robustness based structural design improves structural robustness effectively, and it can provide a conceptual design in the initial stage of structural design.

Control of Flexible Link using Mixed $H_2$/H$\infty$ and $\mu$-Synthesis Method

  • Y.W. Choe;Lee, H.K.;J.I. Bae
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.95.3-95
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    • 2001
  • This paper investigates the simultaneous use of mixed H2/H_inf and mu-synthesis design methodology to design a robust controller for flexible link. We adopt four steps to design control system as follows: Step 1 : Generally, there are differences between the nominal and real model, so we consider the plant as a combination of parametric model uncertainty and unstructured uncertainty represents real structural uncertainties associated with the damping ratios of the flexible modes retained in the nominal model without payload. denotes the uncertainty which is due to the payload added at the tip. Step 2 : We adopt the mixed H2/H_inf theory to design a feedback controller K(s) by using the model uncertainty ...

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A robust controller design for attitude control of hovering vehicle (수직부상기의 자세제어를 위한 강인한 제어기의 설계)

  • 최연욱;이형기
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.12
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    • pp.41-49
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    • 1997
  • This paper deals with the attitude control of a self-made VTOL vehicle which is round shape and has four fans and motors. Although hovering mechanisms are suitable for field work at a mountainous region or a building site etc., it is known that modeling the structure of the plant is quite difficult due to its unstable or uncertain characteristics. So, a robust controller is requried in order to cope with these uncertainties. WE first model the structure of the plant under the actual hovering setting and then determine the uncertainty of the acquired mathematical model by using system identification method as exactly as possible. We adopt the $H^{\infty}$ theory as a control algorithm because of its availability, and the structure of two-degree-of-freedom is used as a basic feedback control system to improve the transient response of the plant. Finally, we show the appropriateness of the designed controller through simulations and experiments. That is, the proposed VTOL system is able to maintain its roubust performance in spite of parameter variations and existing disturbances..

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Robust Torque Control of Internal Combustion Engine Using LMI Technique (수치화 최적화 기법을 이용한 내연기관의 강인한 토크 제어)

  • 김영복;양주호
    • Transactions of the Korean Society of Automotive Engineers
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    • v.5 no.4
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    • pp.100-109
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    • 1997
  • Parameters in the internal combustion engines are variable depending on the operating points. Therefore, it is necessary to compensate for the uncertainties. Form this point of view, this paper gives a controller design method and a robust stability condition by LMI approach for engine torque control which satisfies the gives H$\infty$ control performance in the presence of physical parameter perturbations. To the end, the robustness of the system in the presence of perturbation is guaranteed in the all engine operating regions. Its effectiveness is demonstrated by simulation.

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Design of the robust bilateral controller for teleoperators with modeling uncertainties (모델링 불확실성이 존재하는 원격조작기에서 강인 안정을 보장하는 양방향 제어기 설계)

  • 이형기;정명진
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.976-979
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    • 1996
  • Teleoperation is the extension of a person's sensing and manipulation capability to a remote location. Teleoperators generally can be modeled as linear transfer function indecently including modeling uncertainty. Modeling uncertainties can make the system unstable and its performance poor. Thus I'm studying about a design framework for a bilateral controller of teleoperator systems with modeling uncertainties. In this paper, a method based on the H$_{\infty}$-optimal control and .mu.-synthesis frameworks are introduced to design a controller for the teleoperator that achieves stability and performance in the presence of the modeling uncertainties..ties.inties.

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Speed Controller Design for BLDC Motors Using Robust PID Control (강인 PID 제어를 이용한 BLDC 모터의 속도제어 시스템 설계)

  • Kim, In-Soo;Lee, Young-Jin;Park, Sung-Jun;Park, Han-Woong;Lee, Man-Hyung
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2658-2660
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    • 2000
  • 본 논문은 주파수역에서의 모델매칭을 이용하여 강인한 성능의 PID 제어기 튜닝법을 제안하였다. 이를 이용하여 부하토크 외란에도 강인한 성능의 BLDC 모터의 속도제어기를 설계하였다. 부하토크 외란이 존재하여도 주어진 기준명령을 강인하게 추종하도록 $H_{\infty}$ 제어를 이용하여 속도제어기를 설계한 후, 설계할 PID 제어계의 루프 전달함수와 설계된 $H_{\infty}$ 제어계의 루프 전달함수간의 오차가 주파수역에서 최소가 되도록 PID 제어기 파라미터를 튜닝하였다. BLDC 모터의 속도제어 시뮬레이션을 통하여 설계된 강인 PID 제어기의 성능을 평가하였다.

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