• 제목/요약/키워드: Discrete Function

검색결과 839건 처리시간 0.029초

A New Robust Digital Sliding Mode Control with Disturbance Observer for Uncertain Discrete Time Systems

  • Lee, Jung-Hoon
    • 전기전자학회논문지
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    • 제15권2호
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    • pp.149-156
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    • 2011
  • In this paper, a new discrete variable structure controller based on a new sliding surface and discrete version of the disturbance observer is suggested for the control of uncertain linear systems. The reaching phase is completely removed by introducing a new proposed sliding surface. The discrete version of the disturbance observer is derived for the effective compensation of the effect of uncertainties and disturbances. A corresponding control input with the disturbance compensation is selected to guarantee the quasi sliding mode on the predetermined sliding surface for guaranteeing the designed output in the sliding surface from any initial condition to the origin for all the parameter variations and disturbances. By using Lyapunov function, the closed loop stability and the existence condition of the quasi sliding mode is proved. Finally, an illustrative example is presented to show the effectiveness of the algorithm.

시변 시간 지연을 갖는 불확실한 이산 시간 선형 시스템의 견실 안정성 (Robust Stability of Uncertain Discrete-Time Linear Systems with Time-Varying Delays)

  • 송성호;박섭형;이봉영
    • 제어로봇시스템학회논문지
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    • 제5권6호
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    • pp.641-646
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    • 1999
  • This paper deals with the robust stability of discrete-time linear systems with time- varying delays and norm-bounded uncertainties. In this paper, the magnitude of time-varying delays is assumed to be upper-bounded. The sufficient condition is presented in terms of linear matrix inequality. It is also shown that the robust stability of uncertain discrete-time linear systems with time-varying delays is related with the quadratic stability of uncertain discrete-time linear systems with constant time delay.

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Parameter Estimation Method of Low-Frequency Oscillating Signals Using Discrete Fourier Transforms

  • Choi, Joon-Ho;Shim, Kwan-Shik;Nam, Hae-Kon;Lim, Young-Chul;Nam, Soon-Ryul
    • Journal of Electrical Engineering and Technology
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    • 제7권2호
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    • pp.163-170
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    • 2012
  • This paper presents a DFT (Discrete Fourier Transform) based estimation algorithm for the parameters of a low-frequency oscillating signal. The proposed method estimates the parameters, i.e., the frequency, the damping factor, the mode amplitude, and the phase, by fitting a discrete Fourier spectrum with an exponentially damped cosine function. Parameter estimation algorithms that consider the spectrum leakage of the discrete Fourier spectrum are introduced. The multi-domain mode test functions are tested in order to verify the accuracy and efficiency of the proposed method. The results show that the proposed algorithms are highly applicable to the practical computation of low-frequency parameter estimations based on DFTs.

비선형 마찰특성을 고려한 비례제어밸브·유압실린더계의 적응 이산시간 슬라이딩모드 추적제어 (Adaptive Discrete Time Sliding-Mode Tracking Control of a Proportional Control Valve-Hydraulic System in the presence of friction)

  • 유환신;박형배
    • 한국항행학회논문지
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    • 제13권5호
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    • pp.756-762
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    • 2009
  • 비선형 마찰인 유압 작동기의 스틱-슬립 마찰은 정확성과 응답성에 문제가 된다. 그러므로 마찰보상은 다양한 제어알고리즘을 통하여 연구되어 왔다. 적응이산시간 슬라이딩 추종제어기는 유압작동기 내의 비선형 마찰 특성을 보상하기 위하여 적용하였다. 다오판틴 방정식을 기초로 하여 새로운 이산시간 슬라이딩 함수는 마찰과 모델링 오차를 포함하여 제어법칙을 정의하였다. 비선형 파라미터의 추종성을 기초로 슬라이딩 함수와 프로젝션 항수를 이용하여 강인성을 높였다. 시뮬레이션과 실험결과는 좋은 추종성능을 얻었다.

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개선된 퍼지-유전자알고리즘에 의한 비선형거동을 고려한 평면 및 입체 강구조물의 통합 단면, 형상 이산화 최적설계 (Unified Section and Shape Discrete Optimum Design of Planar and Spacial Steel Structures Considering Nonlinear Behavior Using Improved Fuzzy-Genetic Algorithms)

  • 박춘욱;강문명;윤영묵
    • 한국강구조학회 논문집
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    • 제17권4호통권77호
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    • pp.385-394
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    • 2005
  • 본 논문은 유전자알고리즘과 퍼지이론에 근거한 개선된 퍼지-유전자알고리즘에 의한 이산화 최적설계 프로그램을 개발하였다. 본 연구의 최적설계는 평면 및 입체 강구조물의 단면, 형상 최적설계가 동시에 수행된다. 본 연구에서 목적함수는 강구조물의 중량이고, 제약조건식은 설계 및 좌굴강도, 변위 및 부재단면의 두께에 대한 설계제한식이다. 설계변수는 철골부재 단면의 치수와 절점좌표이다. 그리고 본 연구의 개선된 퍼지-유전자 알고리즘에 의한 이산화 최적설계 프로그램의 적용을 위해 설계 예를 들었다.

페트리네트의 계층화를 통한 시퀀스제어계의 설계(I) - SFC에 근거한 페트리네트의 분할 (Design for Sequential Control System Using Petri Nets with Hierarchical Expression(I) - Division of Petri Nets Based on SFC)

  • 정석권;양주호
    • 한국해양공학회지
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    • 제13권3B호
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    • pp.106-115
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    • 1999
  • Modeling a discrete event system such as a sequential control system is difficult compared with a continuous system. Petri nets have been introduced as an analyzing and design tool for the discrete systems. One of the problems in its applications is that the model can not be analyzed easily in the case of large scale or complicated systems because of increase of the number of components of the system. To overcome this problem, some methods for dividing or reducing Petri nets have been suggested. In this paper, an approach for a hierarchical expression of Petri nets based on Sequential Function Chart(SFC) is proposed. A measuring tank system will be described as a typical kind of discrete systems. The system is modeled by sub Petri nets based on SFC in order to analyze and visualize efficiently about the dynamic behaviors of the system. Some numerical simulations using state equations are performed to prove the validity of the proposed method.

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이차 이산 시스템의 Peak Overshoot을 최소화하기 위한 영점의 위치 설계 (Design of the Zero Location for Minimizing the Peak Overshoot of Second-Order Discrete Systems)

  • 이재석;정태상
    • 대한전기학회논문지:시스템및제어부문D
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    • 제51권11호
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    • pp.483-493
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    • 2002
  • The damping ratio ${\xi}$ of the unit-step response of a second-order discrete system is a function of only the location of the closed-loop poles and is not directly related to the location of the system zero. However, the peak overshoot of the response is the function of both the damping ratio ${\xi}$ and an angle ${\alpha}$, which is the phasor angle of the damped sinusoidal response and is determined by the relative location of the zero with respect to the closed-loop poles. Therefore, if the zero and the open-loop poles are relatively adjusted, through pole-zero cancellation, to maintain the desired (or designed) closed-loop poles, the damping ratio ${\xi}$ will also be maintained, while the angle ${\alpha}$ changes. Accordingly, when the closed-loop system poles are fixed, the peak overshoot is considered as a function of the angle ${\alpha}$ or the system zero location. In this paper the effects of the relative location of the zero on the system performance of a second-order discrete system is studied, and a design method of digital compensator which achieves a minimum peak overshoot while maintaining the desired system mode and the damping ratio of the unit step response is presented.

타부탐색을 이용한 이산설계공간에서의 구조물의 최적설계 (Structural Optimization Using Tabu Search in Discrete Design Space)

  • 이권희;주원식
    • 대한기계학회논문집A
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    • 제27권5호
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    • pp.798-806
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    • 2003
  • Structural optimization has been carried out in continuous or discrete design space. Methods for continuous design have been well developed though they are finding the local optima. On the contrary, the existing methods for discrete design are extremely expensive in computational cost or not robust. In this research, an algorithm using tabu search is developed fur the discrete structural designs. The tabu list and the neighbor function of the Tabu concepts are introduced to the algorithm. It defines the number of steps, the maximum number for random searches and the stop criteria. A tabu search is known as the heuristic approach while genetic algorithm and simulated annealing algorithm are attributed to the stochastic approach. It is shown that an algorithm using the tabu search with random moves has an advantage of discrete design. Furthermore, the suggested method finds the reliable optimum for the discrete design problems. The existing tabu search methods are reviewed. Subsequently, the suggested method is explained. The mathematical problems and structural design problems are investigated to show the validity of the proposed method. The results of the structural designs are compared with those from a genetic algorithm and an orthogonal array design.

불확실 이산 시스템을 위한 외란관측기와 적분 동특성형 슬라이딩 면을 갖는 새로운 둔감한 이산 적분 정적 출력 궤환 가변구조제어기 (A New Robust Discrete Integral Static Output Feedback Variable Structure Controller with Disturbance Observer and Integral Dynamic-Type Sliding Surface for Uncertain Discrete Systems)

  • 이정훈
    • 전기학회논문지
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    • 제59권7호
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    • pp.1289-1294
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    • 2010
  • In this paper, a new discrete integral static output feedback variable structure controller based on the a new integral dynamic-type sliding surface and output feedback discrete version of the disturbance observer is suggested for the control of uncertain linear systems. The reaching phase is completely removed by introducing a new proposed integral dynamic-type sliding surface. The output feedback discrete version of disturbance observer is presented for effective compensation of uncertainties and disturbance. A corresponding control with disturbance compensation is selected to guarantee the quasi sliding mode on the predetermined integral dynamic-type sliding surface for guaranteeing the designed output in the integral dynamic-type sliding surface from any initial condition for all the parameter variations and disturbances. Using discrete Lyapunov function, the closed loop stability and the existence condition of the quasi sliding mode is proved. Finally, an illustrative example is presented to show the effectiveness of the algorithm.

A continuous solution of the heat equation based on a fuzzy system

  • Moon, Byung-Soo;Hwang, In-Koo;Kwon, Kee-Choon
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제3권1호
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    • pp.13-17
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    • 2003
  • A continuous solution of the Dirichlet boundary value problem for the heat equation $u_t$$a2u_{xx}$ using a fuzzy system is described. We first apply the Crank-Nicolson method to obtain a discrete solution at the grid points for the heat equation. Then we find a continuous function to represent approximately the discrete values at the grid points in the form of a bicubic spline function (equation omitted) that can in turn be represented exactly by a fuzzy system. We show that the computed values at non-grid points using the bicubic spline function is much smaller than the ones obtained by linear interpolations of the values at the grid points. We also show that the fuzzy rule table in the fuzzy system representation of the bicubic spline function can be viewed as a gray scale image. Hence, the fuzzy rules provide a visual representation of the functions of two variables where the contours of different levels for the function are shown in different gray scale levels