• Title/Summary/Keyword: Time-parameter

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Delay-dependent Robust and Non-fragile Stabilization for Descriptor Systems with Parameter Uncertainties and Time-varying Delays (변수 불확실성과 시변 시간지연을 가지는 특이시스템의 지연 종속 강인 비약성 안정화)

  • Kim, Jong-Hae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.10
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    • pp.1854-1860
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    • 2008
  • In this paper, we deal with the problem of delay-dependent robust and non-fragile stabilization for descriptor systems with parameter uncertainties and time-varying delays on the basis of strict LMI(linear matrix inequality) technique. Also, the considering controller is composed of multiplicative uncertainty. The delay-dependent robust and non-fragile stability criterion without semi-definite condition and decomposition of system matrices is obtained. Based on the criterion, the problem is solved via state feedback controller, which guarantees that the resultant closed-loop system is regular, impulse free and stable in spite of all admissible parameter uncertainties, time-varying delays, and controller fragility. Numerical examples are presented to demonstrate the effectiveness of the proposed method.

Robust and Non-fragile $H_{\infty}$ Control for Descriptor Systems with Parameter Uncertainties and Time Delay

  • Kim, Jong-Hae;Oh, Do-Chang
    • International Journal of Control, Automation, and Systems
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    • v.5 no.1
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    • pp.8-14
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    • 2007
  • This paper describes a robust and non-fragile $H_{\infty}$ controller design method for descriptor systems with parameter uncertainties and time delay, as well as a static state feedback controller with multiplicative uncertainty. The controller existence condition, as well as its design method, and the measure of non-fragility in the controller are proposed using linear matrix inequality(LMI) technique, which can be solved efficiently by convex optimization. Therefore, the presented robust and non-fragile $H_{\infty}$ controller guarantees the asymptotic stability and disturbance attenuation of the closed loop systems within a prescribed degree in spite of parameter uncertainties, time delay, disturbance input and controller fragility.

A Study on the Discrete Time Parameter Adaptive Learning Control System (이산시간 파라미터 적응형 학습제어 시스템에 관한 연구)

  • 최순철;양해원
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.13 no.4
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    • pp.352-359
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    • 1988
  • A learning control system which should have memory elements can be designed by utilizing the concept of parameter adaptation for unknown control object system parameters and regard it as a hybrid adaptive control system. A parameter adaptive learning control system applicable to a continuous time system has been already reported. Since there have been rapid developments in digital technology, it is possible to extend a continuous time parameter adaptive learning control system concept to a discrete time case. This problem is treated in this paper. Its justfication is proved and a simulation shows that this algorithms is effective.

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Accuracy Enhancement of Parameter Estimation and Sensorless Algorithms Based on Current Shaping

  • Kim, Jin-Woong;Ha, Jung-Ik
    • Journal of Power Electronics
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    • v.16 no.1
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    • pp.1-8
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    • 2016
  • Dead time is typically incorporated in voltage source inverter systems to prevent short circuit cases. However, dead time causes an error between the output voltage and reference voltage. Hence, voltage equation-based algorithms, such as motor parameter estimation and back electromotive force (EMF)-based sensorless algorithms, are prone to estimation errors. Several dead-time compensation methods have been developed to reduce output voltage errors. However, voltage errors are still common in zero current crossing areas, and an effect of the error is much worse in a low speed region. Therefore, employing voltage equation-based algorithms in low speed regions is difficult. This study analyzes the conventional dead-time compensation method and output voltage errors in low speed operation areas. A current shaping method that can reduce output voltage errors is also proposed. Experimental results prove that the proposed method reduces voltage errors and improves the accuracy of the parameter estimation method and the performance of the back EMF-based sensorless algorithm.

Multi-Time Scale Separations and Optimal Control Problems of Multi-Parameter Singular Perturbation Systems (여러 매개상수 특이접동계에서의 여러 시간스케일 분리와 최적제어 문제)

  • Kim, Sam-Soo;Hong, Jae-Keun;Kim, Soo-Joong
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.24 no.1
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    • pp.20-27
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    • 1987
  • The hierarchical approach method is proposed to sperate each different time scale sub-systems from linear time invariant multi-parameter singular perturbation systems. By means of this proposal, the original multi-parameter singular perturbation systems is completely separated into independent subsystems with each different time scale. It is also investigated that the controllability of the system is invariant. And this paper applies singular perturbation methods to the minimum control effort problem for linear time invariant systems with constrained controls. Also near-optimum control theory, which is based on dividing the total time interval with the time scales respectively, is proposed. As a result, the time scale separation method is show to be particularly useful in a near optimum design which can be otained through a decentralized control structure.

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STABILITY LIMIT PROPERTIES OF CONTROL SYSTEMS ON THE SPACE OF ADJUSTING PARAMETERS (조정파라미터 공간에서의 제어계 안정한계 특성)

  • 최순만
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2000.11a
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    • pp.135-142
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    • 2000
  • The adjusting parameter set which enable control systems to locate on stability limit can be derived from theoretical or trial methods for an existing real system. The data from the results are much available to keep a system in the Proper stability condition even to site engineers who are inexperienced in the control system. In this paper, a general one loop control system was adopted for a model system the process of which was assumed to consist of a time-delay element and a first order-lag element in series. After obtaining the corresponding parameter set for the model system by mathematical procedures, their loci on the parameter space was taken according to frequency change. The parameter set loci of stability limit showed unique pattern, and particularity , the curves on the Kg-Ti parameter space were able to be generalized in the form of, an unique exponential formula. These properties were also compared with the results taken from experimental procedures by Nyquist response method and Ziegler & Nichols method on the time domain, and both results were confirmed to be nearly same.

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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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THERMAL DIFFUSION AND RADIATION EFFECTS ON UNSTEADY MHD FREE CONVECTION HEAT AND MASS TRANSFER FLOW PAST A LINEARLY ACCELERATED VERTICAL POROUS PLATE WITH VARIABLE TEMPERATURE AND MASS DIFFUSION

  • Venkateswarlu, M.;Ramana Reddy, G.V.;Lakshmi, D.V.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.18 no.3
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    • pp.257-268
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    • 2014
  • The objective of the present study is to investigate thermal diffusion and radiation effects on unsteady MHD flow past a linearly accelerated vertical porous plate with variable temperature and also with variable mass diffusion in presence of heat source or sink under the influence of applied transverse magnetic field. The fluid considered here is a gray, absorbing/emitting radiation but a non-scattering medium. At time t > 0, the plate is linearly accelerated with a velocity $u=u_0t$ in its own plane. And at the same time, plate temperature and concentration levels near the plate raised linearly with time t. The dimensionless governing equations involved in the present analysis are solved using the closed analytical method. The velocity, temperature, concentration, skin-friction, the rate or heat transfer and the rate of mass transfer are studied through graphs in terms of different physical parameters like magnetic field parameter (M), radiation parameter (R), Schmidt parameter (Sc), Soret number (So), Heat source parameter (S), Prandtl number (Pr), thermal Grashof number (Gr), mass Grashof number (Gm) and time (t).

A study on the Lateral Stability of a Canard Airplane Using In-Flight Real-Time Parameter Estimation Techniques (비행중 실시간 파라미터 추정기법을 이용한 커나드 비행기의 가로안정성에 관한 연구)

  • Park, Wook-Je;Noh, Yang-Soo;Choi, Jin-Won;Moon, Jung-Ho;Hwang, Myoung-Shin;Seong, Kee-Jeong
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.32 no.9
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    • pp.57-64
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    • 2004
  • The Purpose of this paper is to obtain the lateral-directional controllability and stability derivatives of the Velocity-173 from the flight test data and to simulate motion of the aircraft by using In-flight Real-Time Parameter Estimation Techniques. In this paper, the results of the In-Flight Real-Time parameter Estimation Techniques are compared with the results of the Advanced Aircraft Analysis. As a result, Estimation by using In-Flight Real-Time Parameter Estimation Techniques can be done rapidly and their results are reliable.

A Method of Visualization and Fast Estimation of Parameter in Continuous Time Signal (연속적인 신호에서 고속 파라미터 추정과 시각화 방법)

  • Kim, Heon-Tea;Shim, Kwan-Sik;Nam, Hea-Kon;Choi, Joon-Ho;Lim, Yeong-Chul;Kim, Eui-Sun
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.24 no.8
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    • pp.84-93
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    • 2010
  • This paper describes a method of visualization and fast estimation of parameter in continuous time signal. The parameter estimation method of this paper directly estimate the parameters on the basis of the discrete Fourier transform. Also, this paper present to efficient visualization method of dominant parameters obtained in continuous time signal. The proposed methods are applied to test functions with three dominant modes. The results show that the proposed methods are highly applicable to parameter estimation and visualization in continuous time signal.