• Title/Summary/Keyword: discrete-time

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Transform Domain Adaptive Filtering with a Chirp Discrete Cosine Transform LMS (CDCTLMS를 이용한 변환평면 적응 필터링)

  • Jeon, Chang-Ik;Yeo, Song-Phil;Chun, Kwang-Seok;Lee, Jin;Kim, Sung-Hwan
    • The Journal of the Acoustical Society of Korea
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    • v.19 no.8
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    • pp.54-62
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    • 2000
  • Adaptive filtering method is one of signal processing area which is frequently used in the case of statistical characteristic change in time-varing situation. The performance of adaptive filter is usually evaluated with complexity of its structure, convergence speed and misadjustment. The structure of adaptive filter must be simple and its speed of adaptation must be fast for real-time implementation. In this paper, we propose chirp discrete cosine transform (CDCT), which has the characteristics of CZT (chrip z-transform) and DCT (discrete cosine transform), and then CDCTLMS (chirp discrete cosine transform LMS) using the above mentioned algorithm for the improvement of its speed of adaptation. Using loaming curve, we prove that the proposed method is superior to the conventional US (normalized LMS) algorithm and DCTLMS (discrete cosine transform LMS) algorithm. Also, we show the real application for the ultrasonic signal processing.

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Stability Bounds of Time-Varying Uncertainty and Delay Time for Discrete Systems with Time-Varying Delayed State (시변 시간지연을 갖는 이산시스템의 시변 불확실성의 안정 범위)

  • Han, Hyung-Seok
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.10
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    • pp.895-901
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    • 2012
  • The stability robustness problem of linear discrete systems with time-varying unstructured uncertainty of delayed states with time-varying delay time is considered. The proposed conditions for stability can be used for finding allowable bounds of timevarying uncertainty and delay time, which are solved by using LMI (Linear Matrix Inequality) and GEVP (Generalized Eigenvalue Problem) known as powerful computational methods. Furthermore, the conditions can imply the several previous results on the uncertainty bounds of time-invariant delayed states. Numerical examples are given to show the effectiveness of the proposed algorithms.

Stability Condition for Discrete Interval Time-Varying System with Unstructured Uncertainty and Time-Varying Delay Time (비구조화된 불확실성과 시변 지연시간을 갖는 이산 시변 구간 시스템의 안정조건)

  • Hyung-seok Han
    • Journal of Advanced Navigation Technology
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    • v.26 no.6
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    • pp.504-509
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    • 2022
  • In this paper, we deal with the stability condition of linear time-varying interval discrete systems with time-varying delays and unstructured uncertainty. For the time-varying interval discrete system which has interval matrix as its system matrices, time-varying delay time within some interval value and unstructured uncertainty which can include non-linearity and be expressed by only its magnitude, the stability condition is proposed. Compared with the previous result derived by using a upper bound solution of the Lyapunov equation, the new result is derived by the form of simple inequality based on Lyapunov stability condition and has the advantage of being more effective in checking stability. Furthermore, the proposed condition is very comprehensive, powerful and inclusive the previously published conditions of various linear discrete systems, and can be expressed by the terms of magnitudes of the time-varying delay time and uncertainty, and bounds of interval matrices. The superiority of the new condition is shown in the derivation, and the usefulness and advantage of the proposed condition are examined through numerical example.

Block Erection Simulation Using the Integrated System of Combined Discrete Event and Discrete Time Simulation Kernel (이산 사건 및 이산 시간 혼합형 시뮬레이션 커널의 통합 시스템을 이용한 블록 탑재 시뮬레이션)

  • Cha, Ju-Hwan;Roh, Myung-Il;Cho, Doo-Yeoun;Lee, Kyu-Yeul
    • Journal of the Society of Naval Architects of Korea
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    • v.46 no.3
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    • pp.303-312
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    • 2009
  • Recently, requests for the accurate process planning using modeling and simulation technique are increasing in many engineering fields including shipbuilding industry. In this study, Combined DEVS(Discrete EVent System specification) and DTSS(Discrete Time System Specification) simulation kernel is developed, and an integration strategy of dynamics simulation module and graphics module is also implemented. To evaluate the efficiency and applicability of the simulation kernel and integration strategy, these are applied to the block erection simulation of offshore structures.

Heuristic Approach to the Mean Waiting Time of $Geo^x/G/1$ Vacation Queues with N-policy and Setup Time (휴리스틱 방법을 이용한 N정책과 준비기간을 갖는 휴가형 $Geo^x/G/1$ 모형의 평균대기시간 분석)

  • Lee, Sung-Hee;Kim, Sung-Jin;Chae, Kyung-Chul
    • Journal of the Korean Operations Research and Management Science Society
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    • v.32 no.1
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    • pp.53-60
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    • 2007
  • We consider the discrete-time $Geo^x/G/1$ queues under N-policy with multiple vacations (a single vacation) and setup time. In this queueing system, the server takes multiple vacations (a single vacation) whenever the system becomes empty, and he begins to serve the customers after setup time only if the queue length is at least a predetermined threshold value N. Using the heuristic approach, we derive the mean waiting time for both vacation models. We demonstrate that the heuristic approach is also useful for the discrete-time queues.

Continuous Time and Discrete Time State Equation Analysis about Electrical Equivalent Circuit Model for Lithium-Ion Battery (리튬 이온 전지의 전기적 등가 회로에 관한 연속시간 및 이산시간 상태방정식 연구)

  • Han, Seungyun;Park, Jinhyeong;Park, Seongyun;Kim, Seungwoo;Lee, Pyeong-Yeon;Kim, Jonghoon
    • The Transactions of the Korean Institute of Power Electronics
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    • v.25 no.4
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    • pp.303-310
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    • 2020
  • Estimating the accurate internal state of lithium ion batteries to increase their safety and efficiency is crucial. Various algorithms are used to estimate the internal state of a lithium ion battery, such as the extended Kalman filter and sliding mode observer. A state-space model is essential in using algorithms to estimate the internal state of a battery. Two principal methods are used to express the state-space model, namely, continuous time and discrete time. In this work, the extended Kalman filter is employed to estimate the internal state of a battery. Moreover, this work presents and analyzes the estimation performance of algorithms consisting of a continuous time state-space model and a discrete time state-space model through static and dynamic profiles.

On a Stability Region of Liner Time-Varying Systems (선형시변 시스템의 안정도 영역에 관하여)

  • 최종호;장태정
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.37 no.7
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    • pp.484-489
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    • 1988
  • Sufficient conditions concerning the perturbation region of system parameters, which guarantee the asymptotic stability of linear time- varying systems, are presented. These conditions are obtained by Lyapunov function approach for continuous-time and discrete-time systems. Also, a computational algorithm using nonlinear programming is proposed for finding the maximum perturbation region which satisfies the sufficient condition for the continuous-time systems. The technique of finding the solution for the continuous-time systems can also be applied to the discrete-time systems. In the continuous-time case, it is shown by an example that the method proposed in this paper yields much larger perturbation region of parameters than other previously reported results. An example of the perturbation region of system paramters for the discrete-time system is also given.

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Real-time Implementation of a Fuzzy Tuning Discrete-Time Repetitive Control for a Direct Drive Robot (직접구동형 로보트에 대한 퍼지 튜닝 이산시간 반복제어의 실시간 구현)

  • Kim, Sung-Hyun;Ahn, Hyun-Sik;Kim, Do-Hyun
    • Proceedings of the KIEE Conference
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    • 1997.11a
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    • pp.133-135
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    • 1997
  • In this paper, a fuzzy tuning discrete-time repetitive control is suggested for a robot manipulator. Real-time implementation of this type of repetitive controller is also performed for a 2 link direct drive robot by using a real-time control system which consists of a real-time OS(Spectra), a single board computer, a communication board and an analog input/output board. First, it is shown that the tracking error is effectively reduced by discrete-time repetitive control. Second, the convergence performance is shown to be much improved by the suggested controller using real-time experimentations.

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Time Delay Control of Noncolocated Flexible System in z-Domain (비병치 유연계의 시간지연 이산제어)

  • 강민식
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.6
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    • pp.1089-1098
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    • 1992
  • This paper concerns a discrete time control of noncolocated flexible mechanical systems by using time delay relation. A stability criterion of closed-loop system is derived in discrete time domain and a graphic method is developed for designing controllers. Based on this method, a derivative controller is designed for a simply supported uniform beam in the cases of colocation without time delay and of noncolocation with time delay. Some simulation results show the effectiveness of the suggested control.

Delay-Dependent Robust Stabilization and Non-Fragile Control of Uncertain Discrete-Time Singular Systems with State and Input Time-Varying Delays (상태와 입력에 시변 시간지연을 가지는 불확실 이산시간 특이시스템의 지연종속 강인 안정화 및 비약성 제어)

  • Kim, Jong-Hae
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.2
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    • pp.121-127
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    • 2009
  • This paper deals with the design problem of robust stabilization and non-fragile controller for discrete-time singular systems with parameter uncertainties and time-varying delays in state and input by delay-dependent Linear Matrix Inequality (LMI) approach. A new delay-dependent bounded real lemma for singular systems with time-varying delays is derived. Robust stabilization and robust non-fragile state feedback control laws are proposed, which guarantees that the resultant closed-loop system is regular, causal and stable in spite of time-varying delays, parameter uncertainties, and controller gain variations. A numerical example is given to show the validity of the design method.