• Title/Summary/Keyword: Method of delays

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Delay-dependent Robust $H_{\infty}$ Control for Uncertain Discrete-time Descriptor Systems with Interval Time-varying Delays in State and Control Input (상태와 입력에 구간 시변 시간지연을 가지는 불확실 이산시간 특이시스템의 지연 종속 강인 $H_{\infty}$ 제어)

  • Kim, Jong-Hae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.1
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    • pp.193-198
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    • 2009
  • In this paper, we consider the design problem of delay-dependent robust $H{\infty}$ controller of discrete-time descriptor systems with parameter uncertainties and interval time-varying delays in state and control input by delay-dependent LMI (linear matrix inequality) technique. A new delay-dependent bounded real lemma for discrete-time descriptor systems with time-varying delays is derived. The condition for the existence of robust $H{\infty}$ controller and the robust $H{\infty}$ state feedback control law are proposed by LMI approach. A numerical example is demonstrated to show the validity of the design method.

LQ Regulator of Systems with Multiple Time-Delays by Memoryless Feedback

  • Kubo, Tomohiro
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.373-378
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    • 1998
  • A method to construct a memoryless feedback law for systems with multiple time-delays in the states is proposed. As a plant model, a differential-difference equation with multiple delayed terms is introduced, A stabilizability condition by memoryless feedback is presented. A feedback gain is calculated with a solution of a finite dimensional Riccati equation. It is shown that the resulting closed loop system is asymptotically stable, and moreover, it is a linear quadratic regulator for some cost functional. An alternative stabilizability condition which is easier to check is given.

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Delay-dependent Robust Passivity for Uncertain Neural Networks with Time-varying Delays (시변 지연을 가진 불확실 뉴럴 네트워크에 대한 지연의존 강인 수동성)

  • Kwon, Oh-Min;Park, Ju-Hyun;Lee, Sang-Moon;Cha, En-Jong
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.11
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    • pp.2103-2108
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    • 2011
  • In this paper, the problem of passivity analysis for neural networks with time-varying delays and norm-bounded parameter uncertainties is considered. By constructing a new augmented Lyapunov functional, a new delay-dependent passivity criterion for the network is established in terms of LMIs (linear matrix inequalities) which can be easily solved by various convex optimization algorithms. Two numerical example are included to show the effectiveness of proposed criterion.

New Delay-dependent Stability Criterion for Neural Networks with Discrete and Distributed Time-varying Delays (이산 및 분산 시변 지연을 가진 뉴럴 네트워크에 대한 새로운 시간지연 종속 안정성 판별법)

  • Park, Myeong-Jin;Kwon, Oh-Min;Park, Ju-Hyun;Lee, Sang-Moon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.9
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    • pp.1809-1814
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    • 2009
  • In this paper, the problem of stability analysis for neural networks with discrete and distributed time-varying delays is considered. By constructing a new Lyapunov functional, a new delay-dependent stability criterion for the network is established in terms of LMIs (linear matrix inequalities) which can be easily solved by various convex optimization algorithms. Two numerical example are included to show the effectiveness of proposed criterion.

Robust $H^{\infty}$ control for parameter uncertain time-varying systems with time-varying delays in state and control input (파라미터 불확실성 시변 시간지연 시스템에 대한 견실 $H^{\infty}$ 제어)

  • 김기태;김종해;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.113-116
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    • 1997
  • In this paper, we present a robust $H^{\infty}$ controller design method for parameter uncertain time-varying systems with disturbance and that have time-varying delays in both state and control. It is found that the problem shares the same formulation with the $H^{\infty}$ control problem for systems without uncertainty. Through a certain differential Riccati inequality approach, a class of stabilizing continuous controller is proposed. For parameter uncertainties, disturbance and time varying delays, proposed controllers the plant and guarantee an $H^{\infty}$ norm bound constraint on disturbance attenuation for all admissible uncertainties. Finally a numerical example is given to demonstrate the validity of the results.ts.

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Non-fragile Guaranteed Cost Control of Uncertain Nonlinear Systems with Time-varying Delays in State and Control Input (시변 시간 지연을 갖는 불확실한 비선형 시스템의 비약성 보장 비용 제어)

  • Kim, Jae-Man;Choi, Yoon-Ho;Park, Jin-Bae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.3
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    • pp.459-465
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    • 2012
  • In this paper, we present a non-fragile guaranteed cost control design method for uncertain nonlinear systems with time varying delays in state and control input, even though the controller gain is perturbed. The uncertain nonlinear term in the systems is norm bounded and the linear matrix inequality(LMI) optimization method is employed as a stability analysis of the systems. We design a robust controller and show the asymptotical stability of uncertain time-varying systems based on Lyapunov method. Also, we guarantee a specific level of performance of the systems. The simulations are carried out to demonstrate the effectiveness of the proposed method.

Performance analysis of GCC-PHAT-based sound source localization for intelligent robots (지능형 로봇을 위한 GCC-PHAT 기반 음원추적 기술의 성능분석)

  • Park, Beom-Chul;Ban, Kyu-Dae;Kwak, Keun-Chang;Yoon, Ho-Sup
    • The Journal of Korea Robotics Society
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    • v.2 no.3
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    • pp.270-274
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    • 2007
  • In this paper, we present a Sound Source Localization (SSL) based GCC (Generalized Cross Correlation)-PHAT (Phase Transform) and new measurement method of angle with robot auditory system for a network-based intelligent service robot. The main goal of this paper is to analysis performance of TDOA and GCC-PHAT sound source localization method and new angle measurement method is compared. We use GCC-PHAT for measuring time delays between several microphones. And sound source location is calculated by using time delays and new measurement method of angle. The robot platform used in this work is wever-R2, which is a network-based intelligent service robot developed at Intelligent Robot Research Division in ETRI.

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Apportionment of Liquidated Damages and Compensation for Delay Damages in Domestic Construction Project : Analysis and Improvement (국내 현행 공기지연 책임에 따른 지체상금 및 손실보상의 문제점 및 개선방안)

  • Kim, Kyong Ju;Kim, Kyoungmin;Kim, Jong Inn;Wei, Ameng;Kim, Eu Wang
    • Korean Journal of Construction Engineering and Management
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    • v.24 no.1
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    • pp.12-20
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    • 2023
  • To calculate the amount of owner-caused and contractor-caused delays based on a simplified delay analysis, which has been customarily used in Korea, has a limitation in reflecting the impact of the concurrent delay and the acceleration work. It also resulted in the apportionment of liquidated damages by applying the ratio of the number of delays between the owner and the contractor. This study analyzes that the conventional method does not meet the international standards. In order to improve the problem of construction delay analysis and the apportionment of liquidated damages based on it, owner delays, contractor delays, concurrent delays, and the impact of acceleration should be analyzed together. This study suggests that in the apportionment of liquidated damages, the extension of time should be extended by the sum of concurrent delays and the owner-caused delays, and liquidated damages should be imposed on delays incurred after the extension of time. It can be seen that it conforms to the international standards. The results of this study are expected to contribute to improving the problems of delay analysis and liquidated damages calculation, which have been conventionally accepted.

New Permanent Magnet Synchronous Motor Current Sensing Phase Delay Compensation Method

  • Park, Sei-Hun;Kim, Il-Hwan
    • Journal of Electrical Engineering and Technology
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    • v.11 no.1
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    • pp.241-246
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    • 2016
  • This paper presents a method that can improve the performance of permanent magnet synchronous motor current control by minimizing the measured current phase delay caused by the Low Pass Filter(LPF) used to cut off the noises that flowed in when feedback currents are measured. Although existing methods that change the Cutoff Frequency of the LPF can minimize phase delays during high speed rotations, their noise cutoff effects are much lower and this may lead to the decline of control performance. Therefore, in this study, an algorithm that can compensate current phase delays through relatively simple calculations from the synchronous motor d-q axis coordinate transformation matrix and the inverse transformation matrix is proposed and the validity of the proposed method is verified by comparing the waveform of the calculated current with the waveform of actual currents through simulations and experiments.

H Control for Discrete-Time Fuzzy Markovian Jump Systems with State and Input Time Delays (상태 및 입력 시간지연을 갖는 이산 퍼지 마코비안 점프 시스템의 H 제어)

  • Lee, Kap-Rai
    • Journal of the Korean Institute of Intelligent Systems
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    • v.22 no.1
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    • pp.28-35
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    • 2012
  • This paper presents the method for $H_{\infty}$ fuzzy controller design of discrete-time fuzzy Markovian jump systems with state and input time delays. The Takagi and Sugeno fuzzy model is employed to represent a delayed nonlinear system that possesses Markovian jump parameters. A stochastic mode dependent Lyapunov function is employed to analyze the stability and $H_{\infty}$ disturbance attenuation performance of the fuzzy Markovian jump systems with state and input time delays. A sufficient condition for the existence of fuzzy $H_{\infty}$ controller is given in terms of matrix inequalities. Also numerical example is presented to illustrate the efficiency of the proposed design method.