• 제목/요약/키워드: discrete-time system

검색결과 1,149건 처리시간 0.032초

Robust Discretization of LTI Systems with Polytopic Uncertainties and Aperiodic Sampling

  • Lee, Dong Hwan;Park, Jin Bae;Joo, Young Hoon
    • Journal of Electrical Engineering and Technology
    • /
    • 제10권3호
    • /
    • pp.1255-1263
    • /
    • 2015
  • In the previous work, the authors studied the problem of robust discretization of linear time-invariant systems with polytopic uncertainties, where linear matrix inequality (LMI) conditions were developed to find an approximate discrete-time (DT) model of a continuous-time (CT) system with uncertainties in polytopic domain. The system matrices of obtained DT model preserved the polytopic structures of the original CT system. In this paper, we extend the previous approach to solve the problem of robust discretization of polytopic uncertain systems with aperiodic sampling. In contrast with the previous work, the sampling period is assumed to be unknown, time-varying, but contained within a known interval. The solution procedures are presented in terms of unidimensional optimizations subject to LMI constraints which are numerically tractable via LMI solvers. Finally, an example is given to show the validity of the proposed techniques.

Performance Enhancement of Whistle Sound Source Tracking Algorithm using Time-Scale Filter Based on Wavelet Transform

  • Moon, Serng-Bae
    • 한국항해항만학회지
    • /
    • 제28권2호
    • /
    • pp.135-140
    • /
    • 2004
  • A purpose of developing a sound source tracking system in this paper is to reduce the noise efficiently from the received signal by microphone array and measure the signal's time delay between the microphones. I have applied the wavelet analysis algorithm to the system and calculated the sound source's relative position For the performance evaluation, I have compared with the results of utilizing the digital filtering methods based on the FIR LPF using Kaiser window function and the inverse Chebyshev IIR LPF. As a result, I have confirmed the fact that 'time-scale' filter using inverse discrete wavelet transform was suitable for this system.

이산 웨이블릿 변환과 신경회로망을 이용한 FRTU의 고장판단 능력 개선에 관한 연구 (A Study for the Improvement of the Fault Decision Capability of FRTU using Discrete Wavelet Transform and Neural Network)

  • 홍대승;고윤석;강태구;박학열;임화영
    • 전기학회논문지
    • /
    • 제56권7호
    • /
    • pp.1183-1190
    • /
    • 2007
  • This paper proposes the improved fault decision algorithm using DWT(Discrete Wavelet Transform) and ANNs for the FRTU(Feeder Remote Terminal Unit) on the feeder in the power distribution system. Generally, the FRTU has the fault decision scheme detecting the phase fault, the ground fault. Especially FRTU has the function for 2000ms. This function doesn't operate FI(Fault Indicator) for the Inrush current generated in switching time. But it has a defect making it impossible for the FI to be operated from the real fault current in inrush restraint time. In such a case, we can not find the fault zone from FI information. Accordingly, the improved fault recognition algorithm is needed to solve this problem. The DWT analysis gives the frequency and time-scale information. The neural network system as a fault recognition was trained to distinguish the inrush current from the fault status by a gradient descent method. In this paper, fault recognition algorithm is improved by using voltage monitoring system, DWT and neural network. All of the data were measured in actual 22.9kV power distribution system.

Active control of a flexible structure with time delay

  • Cai, Guo-Ping;Yang, Simon X.
    • Structural Engineering and Mechanics
    • /
    • 제20권2호
    • /
    • pp.191-207
    • /
    • 2005
  • Time delay exists inevitably in active control, which may not only degrade the system performance but also render instability to the dynamic system. In this paper, a novel active controller is developed to solve the time delay problem in flexible structures. By using the independent modal space control method, the differential equation of the controlled mode with time delay is obtained from the time-delay system dynamics. Then it is discretized and changed into a first-order difference equation without any explicit time delay by augmenting the state variables. The modal controller is derived based on the augmented system using the discrete variable structure control method. The switching surface is determined by minimizing a discrete quadratic performance index. The modal coordinate is extracted from sensor measurements and the actuator control force is converted from the modal one. Since the time delay is explicitly included throughout the entire controller design without any approximation, the system performance and stability are guaranteed. Numerical simulations show that the proposed controller is feasible and effective in active vibration control of dynamic systems with time delay. If the time delay is not explicitly included in the controller design, instability may occur.

DEVS형식론을 적응한 HLA기반의 분산 실시간 시뮬레이션 시스템 개발 (Development of the Distributed Real-time Simulation System Based on HLA and DEVS)

  • 김호정;이재현;조길석
    • 한국군사과학기술학회지
    • /
    • 제9권3호
    • /
    • pp.25-32
    • /
    • 2006
  • Weapon systems composed of several subsystems execute various engagement missions in distributed combat environments in cooperation with a large number of subordinate/adjacent weapon systems as well as higher echelons through tactical data links. Such distributed weapon systems require distributed real-time simulation test beds to integrate and test their operational software, analyze their performance and effects of cooperated engagement, and validate their requirement specifications. These demands present significant challenges in terms of real-time constraints, time synchronization, complexity and development cost of an engagement simulation test bed, thus necessitate the use of high-performance distributed real-time simulation architectures, and modeling and simulation techniques. In this paper, in order to meet these demands, we presented a distributed real-time simulation system based on High Level Architecture(HLA) and Discrete Event System Specification(DEVS). We validated its performance by using it as a test bed for developing the Engagement Control System(ECS) of a surface-to-air missile system. The proposed technique can be employed to design a prototype or model of engagement-level distributed real-time simulation systems.

비구조화 불확실성을 갖는 양의 시변 이산 구간 시스템의 안정 조건 (Stability Conditions for Positive Time-Varying Discrete Interval System with Unstructured Uncertainty)

  • 한형석
    • 한국항행학회논문지
    • /
    • 제23권6호
    • /
    • pp.577-583
    • /
    • 2019
  • 음이 아닌 입력에 대하여 음이 아닌 초기상태에서 출발한 모든 상태변수 값들이 시간에 대하여 항상 음이 아닌 값을 유지하는 시스템은 양의 시스템으로 정의된다. 본 논문에서는 상태변수에 시변 지연시간과 비구조화된 불확실성이 함께 존재하는 양의 시변 선형 이산 구간 시스템의 안정조건을 새롭게 제안한다. 시변 지연시간은 변동가능한 최소와 최대 지연시간 범위 내에서 변하는 것으로 고려되며, 불확실성은 비선형성을 포함하여 그 최대 크기만을 알 수 있는 것으로 고려한다. 제안된 안정조건은 이전의 결과들이 시불변시스템에만 적용되었거나 불확실성에 대한 고려가 없었던 것을 개선한 것으로 매우 간단한 부등식의 형태로 표현된다. 안정조건은 리아프노프 안정이론을 이용하여 유도되며, 리아프노프 방정식의 상한 해 한계(upper solution bound)를 이용한 기존 결과에 비하여 많은 장점을 갖는다. 제안된 안정조건은 기존의 결과들을 포함하는 효과적인 것으로 수치예제를 통하여 이를 검증한다.

COMPARISON OF DISCRETE TIME INVENTORY SYSTEMS WITH POSITIVE SERVICE TIME AND LEAD TIME

  • Balagopal, N;Deepthy, CP;Jayaprasad, PN;Varghese, Jacob
    • Korean Journal of Mathematics
    • /
    • 제29권2호
    • /
    • pp.371-386
    • /
    • 2021
  • This paper investigates two discrete time queueing inventory models with positive service time and lead time. Customers arrive according to a Bernoulli process and service time and lead time follow geometric distributions. The first model under discussion based on replenishment of order upto S policy where as the second model is based on order placement by a fixed quantity Q, where Q = S - s, whenever the inventory level falls to s. We analyse this queueing systems using the matrix geometric method and derive an explicit expression for the stability condition. We obtain the steady-state behaviour of these systems and several system performance measures. The influence of various parameters on the systems performance measures and comparison on the cost analysis are also discussed through numerical example.

일량제어정책과 단수휴가를 갖는 이산시간 대기행렬의 고객수 분석 (Queue Length Analysis of Discrete-time Queueing System under Workload Control and Single Vacation)

  • 이세원
    • 한국산업정보학회논문지
    • /
    • 제25권1호
    • /
    • pp.89-99
    • /
    • 2020
  • 본 논문에서는 유휴기간을 갖는 서버의 재가동이 단수휴가와 그동안 도착한 고객들의 총 일량에 의해 결정되는 이중제어정책을 다룬다. 고객들은 베르누이 도착과정으로 시스템에 한 명씩 도착하며, 자기 차례가 될 때까지 기다렸다가 선착순으로 서비스를 받는다. 서버는 시스템 내에 더 이상 서비스할 고객이 없으면 유휴기간을 가지며, 이와 동시에 이산확률변수 V의 휴가를 떠난다. 휴가 종료시점에서 대기 중인 고객들의 서비스 시간 총합이 일량 임계값 D를 초과하면 바로 서비스를 시작하고, 휴가 종료시점의 시스템 내 총 일량이 D 이하인 경우에는 일량 임계값을 넘길 때까지 기다렸다가 재가동한다. 이러한 혼합제어정책 하에서 운영되는 이산시간 Geo/G/1 대기행렬시스템을 대상으로 하여 유휴기간을 분석하고 안정상태 고객수 분포를 유도하였다.

포화입력을 가진 비선형 시스템에 대한 슈퍼바이저 제어의 안정성 연구 (A Study on the Stability of Supervisory Control for Nonlinear System with Saturating Input)

  • 차경래
    • 한국생산제조학회지
    • /
    • 제8권4호
    • /
    • pp.112-122
    • /
    • 1999
  • In realistic control systems the nonlinear saturation attributes of the control actuator due to physical limitations should be taken into account This nonlinear saturation of actuators may cause not only deterioration of the control performance but also a large overshoot during start-up and shut-down. As the overshoot increases the system may become oscillatory unstable. in this paper the supervisor implementation which guarantees good performance for saturation operation and prevents reset wind up is presented, Moreover the sufficient conditions of the stability for saturated system using supervisory control with a dynamic controller are provided in the continuous-time and in the discrete-time domain Numerical example is illustrated to depict the efficiency of supervisory control for a typical satuaurated production-distribution system controlled by a discrete-time dynamic controller and to validate basic results by simulation.

  • PDF

A Study on Singularly Perturbed Open-Loop Systems by Delta Operator Approach

  • Shim, Kyu-Hong;M. Edwin Sawan
    • Transactions on Control, Automation and Systems Engineering
    • /
    • 제3권4호
    • /
    • pp.242-249
    • /
    • 2001
  • In this paper, the open-loop state response of the two-time-scale systems by unified approach using the $\delta$-operator is presented with an example of the aircraft longitudinal dynamics. First, the $\delta$-operator system unifies both the continuous system and the discrete system simultaneously, and the $\delta$-operator approach improves the finite word-length characteristics. This saves more computing time than that of the discrete system. Second, the singular perturbation method by block diagonalization reduces the sizes and orders of the systems. This also reduces the floating-point operations (flops). The advantage of those two approaches is shown by comparing our results with the earlier ones in the illustrative example of the longitudinal motion of F-8 aircraft.

  • PDF