• Title/Summary/Keyword: linear differential system

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The properties Analysis of IDEA algorithm (IDEA 알고리즘의 특성 분석)

  • 김지홍;장영달;윤석창
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.25 no.3A
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    • pp.399-405
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    • 2000
  • In this paper, we deal with block cipher algorithm IDEA(international data encryption algorithm), previously known as typical block cipher system. first of all, analysing key scheduler we classify the key sequences with the used key bit and the unused key bits in each round. with this properties we propose the two method, which are differential analysis using differences of plaintext pairs and linear analysis using LSB bit of plaintexts and key sequences.

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Optimal Control of Stochastic Systems with Completely Observable Random Coefficients (가관측적인 랜덤 학수를 가진 스토캐스틱 시스템의 최적제어)

  • 이만형;황창선
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.34 no.5
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    • pp.173-178
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    • 1985
  • The control of a linear system with random coefficients is discussed here. The cost function is of a quadratic form and the random coefficients are assumed to be completely observable by the controller. Stochastic Process involved in the problem by the controller. Stochastic Process involved in the problem formulation is presented to be the unique strong solution to the corresponding stochastic differential equations. Condition for the optimal control is represented through the existence of solution to a Cauchy problem for the given nonlinear partial differential equation. The optimal control is shown to be a linear function of the states and a nonlinear function of random parameters.

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Optimal Control of Distributed Parameter Systems Via Fast WALSH Transform (고속 WALSH 변환에 의한 분포정수계의 최적제어)

  • Kim, Tai-Hoon;Kim, Jin-Tae;Lee, Seung;Ahn, Doo-Soo
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.50 no.10
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    • pp.464-472
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    • 2001
  • This study uses distributed parameter systems as the spatial discretization technique, modelling in lumped parameter systems, and applies fast WALSH transform and the Picard's iteration method to high order partial differential equations and matrix partial differential equations. This thesis presents a new algorithm which usefully exercises the optimal control in the distributed parameter systems. In exercising optimal control of distributed parameter systems, excellent consequences are found without using the existing decentralized control or hierarchical control method. This study will help apply to linear time-varying systems and non-linear systems. Further research on algorithm will be required to solve the problems of convergence in case of numerous applicable intervals.

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Design of Guidance and Control System for X-plane Submarine (X타 수중함의 유도·제어시스템 설계)

  • Park, Jong-Yong;You, Youngjun;Jeon, Myungjun;Yoon, Hyeon-Kyu
    • Journal of the Society of Naval Architects of Korea
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    • v.59 no.5
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    • pp.306-313
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    • 2022
  • Most submarines use the cross-plane, which is convenient and inexpensive, but the number of submarines equipped with an X-plane is increasing recently. This study focuses on designing the control system of the X-plane submarine with various control methods and analyzing the effect of each controller. First, a maneuvering simulation environment for a subjected submarine is established. The dynamics and the operating range of control surfaces are considered. Second, a depth and heading control system of the submarine, which can be divided into three parts, is designed: guidance, controller, and control allocation. The guidance system generates a smooth desired depth and heading. The controller is designed using Proportional-Integral-Differential (PID), Linear Quadratic Regulator (LQR), and H-infinity (H∞) control methods. A linear control allocation method is used to distribute control moment calculated by the controller to the control surfaces. Finally, the designed control system is applied to a subjected X-plane submarine, and a depth and heading control simulations are performed. Each control method is compared and analyzed under various simulation conditions.

Kalman Filtering for Linear Time-Delayed Continuous-Time Systems with Stochastic Multiplicative Noises

  • Zhang, Huanshui;Lu, Xiao;Zhang, Weihai;Wang, Wei
    • International Journal of Control, Automation, and Systems
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    • v.5 no.4
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    • pp.355-363
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    • 2007
  • The paper deals with the Kalman stochastic filtering problem for linear continuous-time systems with both instantaneous and time-delayed measurements. Different from the standard linear system, the system state is corrupted by multiplicative white noise, and the instantaneous measurement and the delayed measurement are also corrupted by multiplicative white noise. A new approach to the problem is presented by using projection formulation and reorganized innovation analysis. More importantly, the proposed approach in the paper can be applied to solve many complicated problems such as stochastic $H_{\infty}$ estimation, $H_{\infty}$ control stochastic system with preview and so on.

The System of Non-Linear Detector over Wireless Communication (무선통신에서의 Non-Linear Detector System 설계)

  • 공형윤
    • Proceedings of the IEEK Conference
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    • 1998.06a
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    • pp.106-109
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    • 1998
  • Wireless communication systems, in particular, must operate in a crowded electro-magnetic environmnet where in-band undesired signals are treated as noise by the receiver. These interfering signals are often random but not Gaussian Due to nongaussian noise, the distribution of the observables cannot be specified by a finite set of parameters; instead r-dimensioal sample space (pure noise samples) is equiprobably partitioned into a finite number of disjointed regions using quantiles and a vector quantizer based on training samples. If we assume that the detected symbols are correct, then we can observe the pure noise samples during the training and transmitting mode. The algorithm proposed is based on a piecewise approximation to a regression function based on quantities and conditional partition moments which are estimated by a RMSA (Robbins-Monro Stochastic Approximation) algorithm. In this paper, we develop a diversity combiner with modified detector, called Non-Linear Detector, and the receiver has a differential phase detector in each diversity branch and at the combiner each detector output is proportional to the second power of the envelope of branches. Monte-Carlo simulations were used as means of generating the system performance.

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Robust ILQ controller design of hot strip mill looper system

  • Kim, Seong-Bae;Hwang, I-Cheol
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.75.5-75
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    • 2001
  • In this paper, we study design of a ILQ(Inverse Linear Quadratic optimal control) looper control system for hot strip mills. The looper which is placed between stands plays an important role in controlling strip width by regulating strip tension variation generated from the velocity difference of main work rolls. A Looper servo controller is designed by ILQ control theory which is an inverse problem of LQ(Linear Quadratic optimal control) control. The mathematical model for looper system is obtained by Taylor´s linearization of nonlinear differential equations. Then we designed linear controller for linearization model by using the ILQ control algorithm. Thereafter this controller is applied to the nonlinear model for model identification. As a result, we show the controller´s robustness for the model error, external disturbance and sensor noise.

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Free and transient responses of linear complex stiffness system by Hilbert transform and convolution integral

  • Bae, S.H.;Cho, J.R.;Jeong, W.B.
    • Smart Structures and Systems
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    • v.17 no.5
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    • pp.753-771
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    • 2016
  • This paper addresses the free and transient responses of a SDOF linear complex stiffness system by making use of the Hilbert transform and the convolution integral. Because the second-order differential equation of motion having the complex stiffness give rise to the conjugate complex eigen values, its time-domain analysis using the standard time integration scheme suffers from the numerical instability and divergence. In order to overcome this problem, the transient response of the linear complex stiffness system is obtained by the convolution integral of a green function which corresponds to the unit-impulse free vibration response of the complex system. The damped free vibration of the complex system is theoretically derived by making use of the state-space formulation and the Hilbert transform. The convolution integral is implemented by piecewise-linearly interpolating the external force and by superimposing the transient responses of discretized piecewise impulse forces. The numerical experiments are carried out to verify the proposed time-domain analysis method, and the correlation between the real and imaginary parts in the free and transient responses is also investigated.

On the Linear Quadratic Regulator for Descriptor Systems

  • Katayama, Tohru;Minamino, Katsuki
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10b
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    • pp.219-224
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    • 1992
  • This paper deals with the linear quadratic optimal regulator problem for descriptor systems without performing a preliminary transformation for a descriptor system. We derive a generalized Riccati differential equation (GRDE) based on the two-point boundary value problem for a Hamiltonian equation. We then obtain an optimal feedback control and the optimal cost in terms of the solution of GRE. A simple example is included.

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A Dispersion and Characteristic Analysis for the One-dimensional Two-fluid Mode with Momentum Flux Parameters

  • Song, Jin-Ho;Kim, H.D.
    • Nuclear Engineering and Technology
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    • v.33 no.4
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    • pp.409-422
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    • 2001
  • The dynamic character of a system of the governing differential equations for the one- dimensional two-fluid model, where the momentum flux parameters are employed to consider the velocity and void fraction distribution in a flow channel, is investigated. In response to a perturbation in the form of a'traveling wave, a linear stability analysis is peformed for the governing differential equations. The expression for the growth factor as a function of wave number and various flow parameters is analytically derived. It provides the necessary and sufficient conditions for the stability of the one-dimensional two-fluid model in terms of momentum flux parameters. It is demonstrated that the one-dimensional two-fluid model employing the physical momentum flux parameters for the whole range of dispersed flow regime, which are determined from the simplified velocity and void fraction profiles constructed from the available experimental data and $C_{o}$ correlation, is stable to the linear perturbations in all wave-lengths. As the basic form of the governing differential equations for the conventional one-dimensional two-fluid model is mathematically ill posed, it is suggested that the velocity and void distributions should be properly accounted for in the one-dimensional two-fluid model by use of momentum flux parameters.s.

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