• Title/Summary/Keyword: robust-stability

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Robust $\textrm{H}_\infty$ Control Design for the Space Station with Structured Parameter Uncertainty

  • Byun, Kuk-Whan;Bong-Wie;Dabid-Gaiier;John-Sunkel
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.431-441
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    • 1991
  • A robust H$_{\infty}$ control design methodology and its application to a Space Station attitude and momentum control problem are presented. This new approach incorporates nonlinear multi-parameter variations in the state-space formulation of H$_{\infty}$ control theory. An application of this robust H$_{\infty}$ control synthesis technique to the Space Station control problem yields a remarkable result in stability robustness with respect to the moments-of-inertia variation of about 73% in one of the structured uncertainty directions. The performance and stability of this new robust H$_{\infty}$ controller for the Space Station are compared to those of other controllers designed using a standard linear-quadratic-regulator synthesis technique.que.

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Robust controller design for RTP system using structured uncertainty approach (구조적 불확실성 접근을 이용한 RTP 시스템의 견실제어기 설계)

  • Lee, Sang-Kyung;Kim, Jong-Hae;Kim, Hae-Kun;Park, Hong-Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.6
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    • pp.667-675
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    • 1999
  • In this paper, we propose a robust controller design of RTP(Rapid Thermal Processing) system using structured uncertainty approach. Using the weighted mixed sensitivity function, we solve the robust stability problem against disturbance and temperature variation, and design a $\mu$ controller using curve fitting method against structured uncertainty. Also the reduction method should be requried because of the difficulty of implementaion with the obtained high order controller. We dal with robust stability and performance of RTP system by the design of $\mu$ controller for original model and Schur balanced reduced model. Finally the simulation results are proposed to show the validity of the proposed method.

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The Robust control strategy for fast response of a synchronous generator excitation system

  • Hong, Hyun-Mun;Choi, Jae-Ho;Rhew, Hong-Woo;Lim, Ick-Hun
    • Proceedings of the KIPE Conference
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    • 1998.10a
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    • pp.498-501
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    • 1998
  • This paper deals with the design and evaluation of the robust controller for a synchronous generator excitation system to improve the steady state and transient stability. The nonlinear characteristics of the system is treated as model uncertainties, and then the robust control techniques are introduced into the power system stability design to take into account these uncertainties at the controller design stage. The performance of the designed controller is examined by extensive non-linear time domain simulation. It is shown that the performance of the robust controller is superior to that of the conventional PI controller.

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LMI-Based Controller Design of Pneumatic Cylinder (LMI를 이용한 공기압 실린더의 상태제어기 설계)

  • Jang, J.S.;Ji, J.W.;Kim, Y.B.
    • Transactions of The Korea Fluid Power Systems Society
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    • v.5 no.1
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    • pp.1-5
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    • 2008
  • Pneumatic driving systems have hard non-linear characteristic and large friction force compared with driving power. Hence, it cannot be robust against parameter uncertainties, modelling error, disturbance and noise. In this study, we apply a mixed $H_2/H_{\infty}$ control to the generalized plant for a pneumatic driving apparatus system including parameter uncertainty and disturbance. In order to design the $H_2/H_{\infty}$ controller, we use the LMI technique. To evaluate control performance and robust stability of the designed controller, we compare it with a conventional controller such as PVA(Position-Velocity-Acceleration state controller) using the simulation results. As a result, it can be known that designed controller shows better robust stability than the conventional controller.

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The Design of 2-DOF Controller with Robust Tracking Performance through Feedforward Compensation (전방향 보상을 통한 강건추종 성능을 갖는 2-자유도 제어기 설계)

  • 윤장희;조창호;이상철;조도현;이상효
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.421-421
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    • 2000
  • In this paper, robust two-degree-of-freedom controller for satellite antenna system which tracks reference signal is designed. Two-degree-of-freedom controller consists of a prefilter and a feedback controller to solve trade-off between robust stability and command response. The feedback controller is designed from specifications like stability, disturbance rejection and robustness via H$_{\infty}$ design technique. In the sequel, H$_2$ optimal prefilter is introduced to improve the command response. This suggests a two-step design, with different types of performance specifications at each stage. In practical problems, this may easily lead to a prefilter of unacceptably high order. In order to avoid high order prefilter we use a particular structure in which both the prefilter and the feedback controller share the same dynamics. H$_2$-prefilter technique proposed in this paper is verified by simulation.

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Robust pole assignment inside a disk of uncertain linear system (불확정성 선형시스템의 원판내 강인 극점배치)

  • Park, Sang-Min;Kim, Jin-Hoon;Ryu, Jeong-Woong
    • Proceedings of the KIEE Conference
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    • 1997.07b
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    • pp.431-433
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    • 1997
  • In this paper, we consider the robust pole assignment inside the circular region for linear systems with time-varing uncertainty. The considered uncertainties are the norm bounded uncertainty and the matrix polytopes type uncertainty. Since the considered uncertainties are time-varying, it should remind that the closed loop system be time-varing system. Therefore, we should consider not only the pole assignment but also the stability. We present new conditions that guarantee the robust pole assignment and the robust stability. Finally, we show the usefulness of our results by an example.

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Design and Analysis of Dynamic Positioning System Using a Nonlinear Robust Observer

  • Kim, Myung-Hyun
    • International Journal of Ocean Engineering and Technology Speciallssue:Selected Papers
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    • v.5 no.1
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    • pp.46-52
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    • 2002
  • A robust nonlinear observer, utilizing the sliding mode concept, is developed for the dynamic positioning of ships. The observer provides the estimates of linear velocities of the ship and bias from slowly varying environmental loads. It also filters out wave frequency motion to avoid wear of actuators and excessive fuel consumption. The main advantage of the proposed observer is in its robustness. Especially, the observer structure with a saturation function makes the proposed observer robust against neglected nonlinearties, disturbances and uncertainties. Since the mathematical model of DP ships is difficult to obtain and includes uncertainties and disturbances, it is very important for the observer to be robust. A nonlinear output feedback controller is derives based on the developed observer using the observer backstepping technique, and the global stability of the observer and control law is shown by Lyapunov stability theory.. A set of simulation was carried out to investigate the performance of the proposed observer for dynamic positioning of ships.

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Design of a Robust TCSC Supplementary Controller to Suppress SSR in FACTS (유연송전시스템(FACTS)에서의 SSR 억제를 위한 강인한 TCSC 보조 제어기의 설계)

  • Seo, Jang-Cheol;Kim, Tae-Hyun;Moon, Seung-Ill;Park, Jong-Keun
    • Proceedings of the KIEE Conference
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    • 1998.07c
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    • pp.884-886
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    • 1998
  • This paper presents an LQG based robust TCSC supplementary controller design to suppress the SSR in the FACTS. This controller is designed to have the robust stability against the plant model uncertainty. The robust stability is guaranteed using the $\mu$ analysis. Time domain simulations using a nonlinear system model show that the proposed TCSC supplementary controller can suppress the SSR efficiently against the plant model uncertainty.

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Backstepping Control-Based Precise Positioning Control Using Robust Friction State Observer and RFNN (강인한 마찰상태관측기와 RFNN을 이용한 백스테핑 제어기반 정밀 위치제어)

  • Yeo, Dae-Yeon;Han, Seong-Ik;Lee, Kwon-Soon
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.19 no.3
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    • pp.394-401
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    • 2010
  • In this article, we investigate a robust friction compensation scheme for the purpose of accomplishing precision positioning performance a servo mechanical system with nonlinear dynamic friction. To estimate the friction state and tackle robustness problem for uncertainty, a RFNN and reconstructed error compensator as well as a robust friction state observer are developed. The asymptotic stability of the series of friction compensation methodologies are verified from the Lyapunov's stability theory. Some simulations and experiments on a servo mechanical system were carried out to evaluate the effectiveness of the proposed control scheme.

Design of Robust GA-QFT Controller for Enhancement of Power System Stability (전력계통의 안정도 향상을 위한 강인한 GA-QFT 제어기 설계)

  • Chung, Hyeong-Hwan;Lee, Jeong-Phil;Hur, Dong-Ryol;Kim, Chang-Hyun
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.50 no.4
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    • pp.197-207
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    • 2001
  • In this paper, design problem of QFT-PSS using Genetic Algorithm(GA) is investigated for power systems with parameter variation and disturbance uncertainties. A robust controller for uncertain power systems can be designed automatically such that the cost of feedback is minimized and all robust stability and performance specifications are satisfied. It is shown that the proposed design method not only automates loop shaping but also improves design quality and improves the quality with a reduced order controller. The robustness of the proposed controller has been investigated on a single machine infinite bus model. The results are shown that the proposed QFT-PSS using GA is more robust tan conventional PSS.

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