• Title/Summary/Keyword: structured uncertainty

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Robust stability of a two-degree-of-freedom servosystem incorporating an observer with multiplicative uncertainty (관측기를 갖는 2자유도 서보계의 승법적인 불확실성에 대한 강인한 안정성)

  • Kim, Young-Bok;Yang, Joo-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.3 no.1
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    • pp.1-8
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    • 1997
  • In order to reject the steady-state tracking error, it is common to introduce integral compensators in servosystems for constant reference signals. However, if 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 incorporating an observer to the structured and unstructured uncertainties of the controlled plant. A robust stability condition is obtained using Riccati inequality, which is written in a linear matrix inequality (LMI) and independent of the gain of the integral compensator. This result impies that if the plant uncertainty is in the allowable set defined by the LMI condition, a high-gain integral compensation can be carried preserving robust stability to accelerate the tracking response.

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Neural network control by learning the inverse dynamics of uncertain robotic systems (불확실성이 있는 로봇 시스템의 역모델 학습에 의한 신경회로망 제어)

  • Kim, Sung-Woo;Lee, Ju-Jang
    • Journal of Institute of Control, Robotics and Systems
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    • v.1 no.2
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    • pp.88-93
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    • 1995
  • This paper presents a study using neural networks in the design of the tracking controller of robotic systems. Our strategy is to put to use the available knowledge about the robot manipulator, such as estimation models, in the contoller design via the computed torque method, and then to add the neural network to control the remaining uncertainty. The neural network used here learns to provide the inverse dynamics of the plant uncertainty, and acts as an inverse controller. In the simulation study, we verify that the proposed neural network controller is robust not only to structured uncertainties, but also to unstructured uncertainties such as friction models.

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A Study on Non-Fragile Controller Design for Parameter Uncertain Systems (파라미터 불확실성 시스템에 대한 비약성 제어기 설계에 관한 연구)

  • 박성욱;오준호
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.272-272
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    • 2000
  • since the controller is part or the overall closed-Loop system, it is necessary that the designed controller be able to tolerate some uncertainty in its coefficients. The adequate stability and performance margins are required for the designed nominal controllers. In the paper. we study the method to design the non-fragile fixed-structured controller for real parametric uncertain systems. When we impose the controller parameter perturbation, the structure of the controller must be given. Therefore, we assume that the controller has fixed-structure. The fixed-structure controller is practically necessary especially when the robust controller synthesis results in a high-order controller. In SISO systems, we propose the robust controller design method using the Mapping theorem. In the method, the plant uncertainty and controller Parameter are of the multilineal form in the stability and performance conditions. Then, the controller synthesis problem is easily recast to Linear Programming Problem.

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Robust Stability of Large-Scale Uncertain Linear Systems with Time-Varying Delays (시변 시간지연을 갖는 대규모 불확정성 선형 시스템의 강인 안정성)

  • Kim, Jae-Sung;Cho, Hyun-Chul;Lee, Hee-Song;Kim, Jin-Hoon
    • Proceedings of the KIEE Conference
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    • 1998.11b
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    • pp.463-465
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    • 1998
  • In this paper, we consider the problem of robust stability of large-scale uncertain linear systems with time-varying delays. The considered uncertainties are both unstructured uncertainty which is only known its norm bound and structured uncertainty which is known its structure. Based on Lyapunov stability theorem and $H_{\infty}$ theory. we present uncertainty upper bound that guarantee the robust stability of systems. Especially, robustness bound are obtained directly without solving the Lyapunov equation. Finally, we show the usefulness of our results by numerical example.

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Control of Magnetic Flywheel System by Neuro-Fuzzy Logic (뉴로-퍼지를 이용한 플라이휠 제어에 관한 연구)

  • Yang Won-Seok;Kim Young-Bae
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.6 s.171
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    • pp.90-97
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    • 2005
  • Magnetic flywheel system utilizes a magnetic bearing, which is able to support the shaft without mechanical contacts, and also it is able to control rotational vibration. Magnetic flywheel system is composed of position sensors, a digital controller, actuating amplifiers, an electromagnet and a flywheel. This work applies the neuro-fuzzy control algorithm to control the vibration of a magnetic flywheel system. It proposes the design skill of an optimal controller when the system has structured uncertainty and unstructured uncertainty, i.e. it has a difficulty in extracting the exact mathematical model. Inhibitory action of vibration was verified at the specified rotating speed. Unbalance response, a serious problem in rotating machinery, is improved by using a magnetic bearing with neuro-fuzzy algorithm.

Robust control for linear systems with structured uncertainty (구조적 불확실성을 갖는 프로세스의 robust control)

  • 김영철;박용식;양흥석
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.457-460
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    • 1989
  • This note considers the problems of finding a pole assignment controller for a plant with parameter perturbations. Based on Kharitonov's theorem and its generalized results, we propose a design method of controller using linear transformations such that it guarantees the desired damping ratio.

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Robust Control of a Glass Fiber Composite Beam using $\mu$-Synthesis Algorithm

  • Lee, Seong-cheol;Kwon, Tae-Kyu;Yun, Yeo-Hung
    • International Journal of Precision Engineering and Manufacturing
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    • v.1 no.2
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    • pp.76-83
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    • 2000
  • A study on the robust control of a composite beam with a distributed PVDF sensor and piezo-ceramic actuator is presented in this paper. $1^{st}$ and $2^{nd}$ natural frequencies are considered in the modeling, because robust control theory which has robustness to structured uncertainty is adopted to suppress the vibration. If the controllers designed by $H_{\infty}$ theory do not satisfy control performance, it is improved by $\mu$-synthesis method with D-K iteration so that the $\mu$-controller based on the structured singular value satisfies the nominal performance and robust performance. Simulation and experiment were carried out with the designed controller and the verification of the robust control properties was presented by results.

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Robust Saturation Controller for the Stable LTI System with Structured Real Parameter Uncertainties (구조적 파라미터 불확실성을 갖는 안정한 선형계에 대한 강인 포화 제어기)

  • Lim Chae-Wook;Park Young-Jin;Moon Seok-Jun;Park Youn-Sik
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.6
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    • pp.517-523
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    • 2006
  • This paper is focused on a robust saturation controller for the stable linear time-invariant (LTI) system involving both actuator's saturation and structured real parameter uncertainties. Based on affine quadratic stability and multi-convexity concept, a robust saturation controller is newly proposed and the linear matrix inequality (LMI)-based sufficient existence conditions for this controller are presented. The controller suggested in this paper can analytically prescribe the lower and upper bounds of parameter uncertainties, and guarantee the closed-loop robust stability of the system in the presence of actuator's saturation. Through numerical simulations, it is confirmed that the proposed robust saturation controller is robustly stable with respect to parameter uncertainties over the prescribed range defined by the lower and upper bounds.

Correlation of Uncertainty, Coping, and Health-Promoting Behavior in Patients with Gastric Cancer following Gastrectomy (위절제술을 받은 위암환자의 불확실성, 대처, 건강증진행위 간의 관계)

  • Lee, Minsun;Kang, Younhee
    • Journal of Korean Clinical Nursing Research
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    • v.21 no.2
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    • pp.223-233
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    • 2015
  • Purpose: This study was done to investigate the correlation of uncertainty, coping and health-promoting behavior in patients with gastric cancer who have undergone a gastrectomy. Methods: A descriptive correlational design was used and the participants were 120 gastric cancer patients from one general hospital. The structured questionnaire included Mishle's Uncertainty in Illness Scale, the Korean Cancer Coping Questionnaire, and the Health Promoting Lifestyle Profile. Data were analyzed using descriptive statistics, t-test, one-way ANOVA, Pearson correlation coefficient, and multiple regression analysis. Results: There were significant negative correlations between uncertainty and intrapersonal coping (r=-.657, p<.001); between uncertainty and interpersonal coping (r=-.223, p=.014); and between uncertainty and health promoting behavior (r=-.594, p<.001). There were significant positive correlations between intrapersonal coping and health promoting behavior (r=.790, p<.001); and between interpersonal coping and health promoting behavior (r=.502, p<.001). Uncertainty, intrapersonal coping, and interpersonal coping explained 49% of health promoting behavior (F=21.312, p<.001). The factors that influenced health promoting behavior were intrapersonal coping (${\beta}=.582$, p<.001), and interpersonal coping (${\beta}=.246$, p<.001). Conclusion: The findings of this study indicate that intrapersonal coping and interpersonal coping were significant variables for health promoting behavior in patients with gastric cancer who had undergone a gastrectomy in the past six months.

Robust Servo Design and Application for Optical Disk Drive Using Robust Control Theory : H vs. QFT (광 디스크 드라이브 서보 설계를 위한 강건 제어 이론의 적용 및 평가 : H vs. QFT)

  • Lee, Kwang-Hyun;Yang, Hyunseok;Park, No-Cheol;Park, Young-Pil;Choi, Jin-Young
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.10 s.103
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    • pp.1148-1159
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    • 2005
  • In this paper, the various uncertainties generated in an optical disk drive (ODD) and the robust servo designs considering the uncertainties are studied. First, the brief introduction an ODD and the servo error tolerance of it are discussed. Then, the classifications of uncertainty and the concept of relative stability are introduced. Considering the uncertainty of an ODD, two robust control approaches are applied: (i) mixed sensitivity approach in H$\infty$ control theory for unstructured uncertainty, (ii) QFT for structured uncertainty Finally, the designed controllers are realized by DSP, and these controllers are applied to a commercial DVD-ROM drive. From these experiments, we prove that the designed robust controllers have more good disturbance rejection performance and robustness when it is compared to the conventional lead-lag controller.