• Title/Summary/Keyword: plant uncertainty

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Eigenstructure Assignment Control for Linear Continuous-Time Systems with Probabilistic Uncertainties (확률적 불확실성을 갖는 선형 연속 시간 시스템의 고유구조 지정제어)

  • 서영봉;최재원
    • Journal of Institute of Control, Robotics and Systems
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    • v.10 no.2
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    • pp.145-152
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    • 2004
  • In this paper, an S(stochastic)-eigenvalue and its corresponding S-eigenvector concept for linear continuous-time systems with probabilistic uncertainties are proposed. The proposed concept is concerned with the perturbation of eigenvalues due to the stochastic variable parameters in the dynamic model of a plant. An S-eigenstructure assignment scheme via the Sylvester equation approach based on the S-eigenvalue/-eigenvector concept is also proposed. The proposed control design scheme based on the proposed concept is applied to a longitudinal dynamics of an open-loop-unstable aircraft with possible uncertainties in aerodynamic and thrust effects as well as separate dynamic pressure effects. These results explicitly characterize how S-eigenvalues in the complex plane may impose stability on the system.

Adaptive control for linear systems with parameter uncertainty using switching

  • Maki, Midori;Hagino, Kojiro
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.173-176
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    • 1996
  • This paper deals with the problem of designing an adaptive regulator in order to improve transient performance in time-response when the linear state-space model of the plant contains unknown parameters which vary within prescribed bounds. The whole possible parameter space is divided into some subspaces and multiple models and controllers are established from the view point that each controller gives satisfactory transient behavior for systems corresponding to each parameter subspace. Based on time-response and an associated cost function, an appropriate controller is selected on-line out of multiple controllers.

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Robust $H^{\infty}$ control for parameter uncertain time-varying systems with time-varying delays in state and control input (파라미터 불확실성 시변 시간지연 시스템에 대한 견실 $H^{\infty}$ 제어)

  • 김기태;김종해;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.113-116
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    • 1997
  • In this paper, we present a robust $H^{\infty}$ controller design method for parameter uncertain time-varying systems with disturbance and that have time-varying delays in both state and control. It is found that the problem shares the same formulation with the $H^{\infty}$ control problem for systems without uncertainty. Through a certain differential Riccati inequality approach, a class of stabilizing continuous controller is proposed. For parameter uncertainties, disturbance and time varying delays, proposed controllers the plant and guarantee an $H^{\infty}$ norm bound constraint on disturbance attenuation for all admissible uncertainties. Finally a numerical example is given to demonstrate the validity of the results.ts.

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Robust $H_{\infty}$ Control for Bilinear Systems with Parameter Uncertainties via output Feedback

  • Kim, Young-Joong;Lee, Su-Gu;Chang, Sae-Kwon;Kim, Beom-Soo;Lim, Myo-Taeg
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.386-391
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    • 2003
  • This paper focuses on robust $H_{\infty}$ control for bilinear systems with time-varying parameter uncertainties and exogenous disturbance via output feedback. $H_{\infty}$ control is achieved via separation into a $H_{\infty}$ state feedback control problem and a $H_{\infty}$ state estimation problem. The suitable robust stabilizing output feedback control law can be constructed in term of approximated solution to x-dependent Riccati equation using successive approximation technique. Also, the $H_{\infty}$ filter gain can be constructed in term of solution to algebraic Riccati equation. The output feedback control robustly stabilizes the plant and guarantees a robust $H_{\infty}$ performance for the closed-loop systems in the face of parameter uncertainties and exogenous disturbance.

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Tracking Control of a Sampled Nonlinear System via Fuzzy Logic Theory (퍼지제어 이론을 이용한 샘플된 비선형 시스템의 추적제어에 대한 연구)

  • 김은태
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.40 no.6
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    • pp.69-75
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    • 2003
  • This paper presents a fuzzy logic based approach to tracking control of a sampled nonlinear system. It is assumed that the plant to be controlled is under both the internal uncertainty and the external disturbances. Discrete-time adaptive fuzzy control method is proposed and its parameters are determined by the recently-spolighted convex optimization technique called LMI. Finally, the computer simulation is tarried out to verify the effectiveness of the proposed method.

RTD Bypass Line Elimination at Kori Nuclear Power Plant 3&4

  • Yoon, Duk-Joo;Lee, Chang-Sup;Jun, Hwang-Yong;Lee, Jae-Yong;Song, Dong-Soo
    • Proceedings of the Korean Nuclear Society Conference
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    • 1997.05a
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    • pp.213-218
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    • 1997
  • The RTD Bypass Loops at Kori Unit 3&4 will be removed and a new system will be designed and will be installed to replace it. The replacement system provides equal or better performance and eliminates some Persistent problems. The Resistance Temperature Detector (RTD) bypass line is eliminated to reduce the radiation exposure to operators and workers. After the elimination, the resistance temperature detectors are installed in scoop of the reactor coolant piping to detect a representative temperature. This study includes safety evaluation, RTD response time Analysis, Uncertainty Analysis, LOCA evaluation and Structural Analysis.

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The $H_2/ H_\infty$ control of inverted pendulum system using linear fractional representation (도립진자 시스템에 선형 분수 표현법을 이용한 $H_2/ H_\infty$ 제어)

  • 곽칠성;최규열
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.3 no.4
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    • pp.875-885
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    • 1999
  • This paper presents an application of LMI-based techniques to the mixed $H_2/ H_\infty$ control of an inverted pendulum. The linear model of the inverted pendulum represented by an LFR(Linear Fractional Representation) model of uncertainties is derived. Considered uncertainties are three nonlinear components and a parameter uncertainty Augmenting the LFR model by adding weighting functions, we get a generalized plant, for which we design a mixed $H_2/ H_\infty$ controller using the LMI technique. To evaluate control performances and robust stability of the mixed $H_2/ H_\infty$ controller designed, we compare it with the $ H_\infty$controller through the simulation and experiment. The mixed $H_2/ H_\infty$ controller shows the better control performances and robust stability than the $H_\infty$controller in the sense of pendulum angle.

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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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HIERARCHICAL SWITCHING CONTROL OF LONGITUDINAL ACCELERATION WITH LARGE UNCERTAINTIES

  • Gao, F.;Li, K.Q.
    • International Journal of Automotive Technology
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    • v.8 no.3
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    • pp.351-359
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    • 2007
  • In this study, a hierarchical switching control scheme based on robust control theory is proposed for tracking control of vehicle longitudinal acceleration in the presence of large uncertainties. A model set consisting of four multiplicative-uncertainty models is set up, and its corresponding controller set is designed by the LMI approach, which can ensures the robust performance of the closed loop system under arbitray switching. Based on the model set and the controller set, a switching index function by estimating the system gain of the uncertainties between the plant and the nominal model is designed to determine when and which controller should be switched into the closed loop. After theoretical analyses, experiments have also been carried out to validate the proposed control algorithm. The results show that the control system has good performance of robust stability and tracking ability in the presence of large uncertainties. The response time is smaller than 1.5s and the max tracking error is about $0.05\;m/S^2$ with the step input.

On Setting Low-level Performance Criteria and Uncertainty Characterization for a Nuclear Power Plant (원자력발전소의 저층 성능 기준설정과 불확실성에 대하여)

  • Jo, Nam-Jin
    • Nuclear Engineering and Technology
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    • v.19 no.4
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    • pp.266-278
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    • 1987
  • This paper addresses the issues in setting performance criteria for safety regulation of nuclear power plants. Since setting criteria at the low level is a much more difficult task than it is at the top level, the low-level performance criteria should be derived consistently from the more easily determinable top-level performance criteria. The paper also proposes several approaches to characterizing uncertainties in performance criteria, by extending the reliability allocation methodology that is based on the mean-to-mean mapping to a stochastic multi-objective optimization problem where the state variables are uncertain.

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