• Title/Summary/Keyword: linear differential systems

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A Linear Matrix Inequality Optima Control for the Tracking of an Autonomous Gliding Vehicle (자동 미끄럼 이동 로봇의 경로 추종을 위한 LMI 최적 제어 기법)

  • 이진우
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.335-335
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    • 2000
  • Applications such as unmanned aerial vehicles (UAVs), autonomous underwater vehicles (AUVs) and the time varying nature of their navigation, guidance and control systems motivate an integrated approach to trajectory general ion and trajectory tracking for autonomous vehicles. In this paper, an experimental testbed was designed for studying this integrated trajectory control approach. In this paper we apply the separating approach to an autonomous nonlinear vehicle system. A new linear matrix inequality based H$_{\infty}$ control technique for periodic time-varying systems is applied to the role of trajectory tracking. Trajectory general ion is accomplished by exploit ing the differential flatness property of the vehicle system; this at lows product ion of desired feasible nominal or reference trajectories from certain ″flat'system outputs. Simulation and experimental results are presented showing stable tracking of a periodic circular trajectory.

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The resolution recovery - Application to various CT systems

  • Kim, Hong-Suk;Lee, Soo-Young
    • Proceedings of the KIEE Conference
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    • 1979.08a
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    • pp.160-161
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    • 1979
  • The degradation of image due to the finite size of sensing device has been one of the problems to all of the digital imaging systems. The improvement of the spatial resolution has been attempted by "differential method" with fixed sensor size and finer sampling. The computer simulations were carried out for the cases of PLF system (Parallel Linear Fan-beam) and SR(Stationary Ring) system and the results are presented.

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AN ABS ALGORITHM FOR SOLVING SINGULAR NONLINEAR SYSTEMS WITH RANK ONE DEFECT

  • Ge, Ren-Dong;Xia, Zun-Quan
    • Journal of applied mathematics & informatics
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    • v.9 no.1
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    • pp.167-183
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    • 2002
  • A modified discretization ABS algorithm for solving a class of singular nonlinear systems, F($\chi$)=0, where $\chi$, F $\in$ $R^n$, is presented, constructed by combining a discretization ABS algorithm arid a method of Hoy and Schwetlick (1990). The second order differential operation of F at a point is not required to be calculated directly in this algorithm. Q-quadratic convergence of this algorithm is given.

ON SOME SPECIAL CONDITIONS OF n-TH ORDER NON-OSCILLATORY NONLINEAR SYSTEMS

  • Alam, M.-Shamsul;Hossain, M.B.
    • Communications of the Korean Mathematical Society
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    • v.18 no.4
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    • pp.755-765
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    • 2003
  • Krylov-Bogoliubov-Mitropolskii method has been extended to obtain asymptotic solution of n-th order nonlinear differential system characterized by certain non-oscillatory processes. The damping force is considered in such a manner that one of the characteristic roots of the linear system becomes small and others are in integral multiple. The method is illustrated by an example. The solutions for different initial conditions show a good agreement with those obtained by numerical method.

Equivalent damping of a structure with vibration control devices subjected to wind loads

  • Hwang, Jae-Seung;Kim, Jinkoo;Lee, Sang-Hyun;Min, Kyung-Won
    • Wind and Structures
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    • v.6 no.4
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    • pp.249-262
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    • 2003
  • The purpose of this study is to propose a procedure for evaluating quantitatively the increase of the equivalent damping ratio of a structure with passive/active vibration control systems subjected to a stationary wind load. A Lyapunov function governing the response of a structure and its differential equation are formulated first. Then the state-space equation of the structure coupled with the secondary damping system is solved. The results are substituted into the differential equation of the Lyapunov function and its derivative. The equivalent damping ratios are obtained from the Lyapunov function of the combined system and its derivative, and are used to assess the control effect of various damping devices quantitatively. The accuracy of the proposed procedure is confirmed by applying it to a structure with nonlinear as well as linear passive/active control systems.

An Efficient Chaotic Image Encryption Algorithm Based on Self-adaptive Model and Feedback Mechanism

  • Zhang, Xiao;Wang, Chengqi;Zheng, Zhiming
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.11 no.3
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    • pp.1785-1801
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    • 2017
  • In recent years, image encryption algorithms have been developed rapidly in order to ensure the security of image transmission. With the assistance of our previous work, this paper proposes a novel chaotic image encryption algorithm based on self-adaptive model and feedback mechanism to enhance the security and improve the efficiency. Different from other existing methods where the permutation is performed by the self-adaptive model, the initial values of iteration are generated in a novel way to make the distribution of initial values more uniform. Unlike the other schemes which is on the strength of the feedback mechanism in the stage of diffusion, the piecewise linear chaotic map is first introduced to produce the intermediate values for the sake of resisting the differential attack. The security and efficiency analysis has been performed. We measure our scheme through comprehensive simulations, considering key sensitivity, key space, encryption speed, and resistance to common attacks, especially differential attack.

Graphic Representation of Solutions of Partial Differential Equations Using their Corresponding Fuzzy Systems

  • 문병수
    • Proceedings of the Korean Society of Computational and Applied Mathematics Conference
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    • 2003.09a
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    • pp.4.2-4
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    • 2003
  • In this paper, we describe how to approximate the solutions of partial differential equations by bicubic spline functions whose interpolation errors at non-grid points are smaller in general than those by linear interpolations of the original solution at grid points. We show that the bicubic spline function can be represented exactly or approximately by a fuzzy system, and that the resulting fuzzy rule table shows the contours of the solution function. Thus, the fuzzy rule table is identified as a digital image and the contours in the rule table provide approximate contours of the solution of partial differential equations. Several illustrative examples are included.

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Simulation of Vehicle Steering Control through Differential Braking (차동 제동을 이용한 조향 제어 시뮬레이션)

  • 제롬살랑선네;윤여흥;장봉춘;이성철
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.11
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    • pp.65-74
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    • 2002
  • This paper examines the usefulness of a Brake Steer System (BSS), which uses differential brake forces for steering intervention in the context of Intelligent Transportation Systems (ITS). In order to help the car to turn, a yaw moment can be achieved by altering the left/right and front/rear brake distribution. This resulting yaw moment on the vehicle affects lateral position thereby providing a limited steering function. The steering function achieved through BSS can then be used to control lateral position in an unintended road departure system. A 8-DOF nonlinear vehicle model including STI tire model will be validated using the equations of motion of the vehicle. Then a controller will be developed. This controller, which will be a PID controller tuned by Ziegler-Nichols, will be designed to explore BSS feasibility by modifying the brake distribution through the control of the yaw rate of the vehicle.

AN UNSTRUCTURED MESH FINITE VOLUME METHOD FOR MODELLING SALTWATER INTRUSION INTO COASTAL AQUIFERS

  • Liu, F.;Turner, I.;Anh, V.
    • Journal of applied mathematics & informatics
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    • v.9 no.2
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    • pp.561-577
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    • 2002
  • In this paper, a two-dimensional finite volume unstructured mesh method (FVUM) based on a triangular background interpolation mesh is developed for analysing the evolution of the saltwater intrusion into single and multiple coastal aquifer systems. The model formulation consists of a ground-water flow equation and a salt transport equation. These coupled and non-linear partial differential equations are transformed by FVUM into a system of differential/algebraic equations, which is solved using backward differentiation formulas of order one through five. Simulation results are compared with previously published solutions where good agreement is observed.

Unknown input observer design via fast Walsh transform and Walsh function's differential (고속월쉬변환과 월쉬함수 미분연산식에 의한 미지입력 관측기 설계)

  • Kim, Jin-Tae;Ahn, Pius;Kim, Min-Hyung;Lee, Myung-Kyu;Kim, Jae-Il;Ahn, Doo-Soo
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2611-2613
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    • 2000
  • This paper deals with a novel approach to unknown inputs observer(UIO) design for linear time-invariant dynamical systems using a fast Walsh transform and Walsh function's differential operation. Generally, UIO has a derivation of system outputs which is not available from the measurement directly. And it is an obstacle to estimate the unknown inputs properly when unexpected measurement noises are presented. Therefore, this paper propose an algebraic approach to eliminate such problems by using a Walsh function's differential operation.

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