• Title/Summary/Keyword: State Delay

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Observer Design for Discrete-Time Nonlinear Systems with Output Delay (출력지연을 갖는 이산시간 비선형 시스템의 관측기 설계)

  • Lee, Sung-Ryul
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.49 no.3
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    • pp.26-30
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    • 2012
  • This paper presents the observer design method for discrete-time nonlinear systems with delayed output. It is shown that by considering a nonlinear term of error dynamics as an additional state variable, the discrete-time nonlinear error dynamics with time delay can be transformed into the discrete-time linear one with time delay. Sufficient conditions for existence of state observer are characterized by linear matrix inequalities. Finally, an illustrative example is given in order to show the effectiveness of our design method.

NECESSARY AND SUFFICIENT OPTIMALITY CONDITIONS FOR CONTROL SYSTEMS DESCRIBED BY INTEGRAL EQUATIONS WITH DELAY

  • Elangar, Gamal-N.;Mohammad a Kazemi;Kim, Hoon-Joo
    • Journal of the Korean Mathematical Society
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    • v.37 no.4
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    • pp.625-643
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    • 2000
  • In this paper we formulate an optimal control problem governed by time-delay Volterra integral equations; the problem includes control constraints as well as terminal equality and inequality constraints on the terminal state variables. First, using a special type of state and control variations, we represent a relatively simple and self-contained method for deriving new necessary conditions in the form of Pontryagin minimum principle. We show that these results immediately yield classical Pontryagin necessary conditions for control processes governed by ordinary differential equations (with or without delay). Next, imposing suitable convexity conditions on the functions involved, we derive Mangasarian-type and Arrow-type sufficient optimality conditions.

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Modeling and Analysis of Burst Switching for Wireless Packet Data (무선 패킷 데이터를 위한 Burst switching의 모델링 및 분석)

  • Park, Kyoung-In;Lee, Chae Young
    • Journal of Korean Institute of Industrial Engineers
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    • v.28 no.2
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    • pp.139-146
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    • 2002
  • The third generation mobile communication needs to provide multimedia service with increased data rates. Thus an efficient allocation of radio and network resources is very important. This paper models the 'burst switching' as an efficient radio resource allocation scheme and the performance is compared to the circuit and packet switching. In burst switching, radio resource is allocated to a call for the duration of data bursts rather than an entire session or a single packet as in the case of circuit and packet switching. After a stream of data burst, if a packet does not arrive during timer2 value ($\tau_{2}$), the channel of physical layer is released and the call stays in suspended state. Again if a packet does not arrive for timerl value ($\tau_{1}$) in the suspended state, the upper layer is also released. Thus the two timer values to minimize the sum of access delay and queuing delay need to be determined. In this paper, we focus on the decision of $\tau_{2}$ which minimizes the access and queueing delay with the assumption that traffic arrivals follow Poison process. The simulation, however, is performed with Pareto distribution which well describes the bursty traffic. The computational results show that the delay and the packet loss probability by the burst switching is dramatically reduced compared to the packet switching.

Analysis of Delay Distribution and Rate Control over Burst-Error Wireless Channels

  • Lee, Joon-Goo;Lee, Hyung-Keuk;Lee, Sang-Hoon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.34 no.5A
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    • pp.355-362
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    • 2009
  • In real-time communication services, delay constraints are among the most important QoS (Quality of Service) factors. In particular, it is difficult to guarantee the delay requirement over wireless channels, since they exhibit dynamic time-varying behavior and even severe burst-errors during periods of deep fading. Channel throughput may be increased, but at the cost of the additional delays when ARQ (Automatic Repeat Request) schemes are used. For real-time communication services, it is very essential to predict data deliverability. This paper derives the delay distribution and the successful delivery probability within a given delay budget using a priori channel model and a posteriori information from the perspective of queueing theory. The Gilbert-Elliot burst-noise channel is employed as an a Priori channel model, where a two-state Markov-modulated Bernoulli process $(MMBP_2)$ is used. for a posteriori information, the channel parameters, the queue-length and the initial channel state are assumed to be given. The numerical derivation is verified and analyzed via Monte Carlo simulations. This numerical derivation is then applied to a rate control scheme for real-time video transmission, where an optimal encoding rate is determined based on the future channel capacity and the distortion of the reconstructed pictures.

Shunt Active Filter for Multi-Level Inverters Using DDSRF with State Delay Controller

  • Rajesh, C.R.;Umayal, S.P.
    • Journal of Power Electronics
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    • v.18 no.3
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    • pp.863-870
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    • 2018
  • The traditional power control theories for the harmonic reduction methods in multilevel inverters are found to be unreliable under unbalanced load conditions. The unreliability in harmonic mitigation is caused by voltage fluctuations, non-linear loads, the use of power switches, etc. In general, the harmonics are reduced by filters. However, such devices are an expensive way to provide a smooth and fast response to secure power systems during dynamic conditions. Hence, the Decoupled Double Synchronous Reference Frame (DDSRF) theory combined with a State Delay Controller (SDC) is proposed to achieve a harmonic reduction in power systems. The DDSRF produces a sinusoidal harmonic that is the opposite of the load harmonic. Then, it injects this harmonic into power systems, which reduces the effect of harmonics. The SDC is used to reduce the delay between the compensation time for power injection and the generation of a reference signal. The proposed technique has been simulated using MATLAB and its reliability has been verified experimentally under unbalanced conditions.

L-gained State Feedback Control for Continuous Fuzzy Systems with Time-Delay (시간 지연 연속 시간 퍼지 시스템에 대한 L-이득값 상태 궤환 제어)

  • Lee, Dong-Hwan;Joo, Young-Hoon;Park, Jin-Bae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.6
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    • pp.762-767
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    • 2008
  • This paper introduces a $L_{\infty}$-gain state feedback fuzzy controller design for the time delay nonlinear system represented by Takagi-Sugeno(T-S) fuzzy model. First, the T-S fuzzy model is employed to represent the time delay nonlinear system. Next based on the fuzzy model, a fuzzy state feedback controller is developed to achieve $L_{\infty}$-gain performance. Finally, sufficient conditions are derived for $L_{\infty}$-gain performance. The sufficient conditions are formulated in the format of linear matrix inequalities (LMIs). The effectiveness of the proposed controller design methonology is finally demonstrated through numerical simulations.

An Analytical Design of Feedback Regulator and Signal State Estimator in Discrete Linear Systems (이산 선형시스템에서의 피이드백 조정기 및 신호상태 추정기의 해석적 설계)

  • 고명삼
    • 전기의세계
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    • v.21 no.3
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    • pp.19-30
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    • 1972
  • This paper deals with an analytic design of feedback regulator and signal state estimator in discrete linear systems. On the way of developing the deadbeat regulator, some necessary conditions for control policy have been derived, it is proved that the q periods delay in the control causes q periods delay in the point at which deadbeat response occurs. We have derived some relations such that the eigenvalue of system plant can be arbitrarily changed by the characteristics of minor loop compensator which is introduced in feedback path. And also we show that the signal state estimator which estimates the state of given signal sequence must satisfy some conditions. Theorems and conclusions are described with some simplel nontrivial numerical examples and signal state tracking application problems.

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Online Dynamic Modeling of Ubiquitous Sensor based Embedded Robot Systems using Kalman Filter Algorithm (칼만 필터 알고리즘을 이용한 유비쿼터스 센서 기반 임베디드 로봇시스템의 온라인 동적 모델링)

  • Cho, Hyun-Cheol;Lee, Jin-Woo;Lee, Young-Jin;Lee, Kwon-Soon
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.8
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    • pp.779-784
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    • 2008
  • This paper presents Kalman filter based system modeling algorithm for autonomous robot systems. State of the robot system is measured using embedded sensor systems and then carried to a host computer via ubiquitous sensor network (USN). We settle a linear state-space motion equation for unknown robot system dynamics and modify a popular Kalman filter algorithm in deriving suitable parameter estimation mechanism. To represent time-delay nature due to network media in system modeling, we construct an augmented state-space model which is mainly composed of original state and estimated parameter vectors. We conduct real-time experiment to test our proposed estimation algorithm where speed state of the constructed robot is used as system observation.

A Discrete State-Space Control Scheme for Dynamic Voltage Restorers

  • Lei, He;Lin, Xin-Chun;Xue, Ming-Yu;Kang, Yong
    • Journal of Power Electronics
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    • v.13 no.3
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    • pp.400-408
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    • 2013
  • This paper presents a discrete state-space controller using state feedback control and feed-forward decoupling to provide a desirable control bandwidth and control stability for dynamic voltage restorers (DVR). The paper initially discusses three typical applications of a DVR. The load-side capacitor DVR topology is preferred because of its better filtering capability. The proposed DVR controller offers almost full controllability because of the multi-feedback of state variables, including one-beat delay feedback. Feed-forward decoupling is usually employed to prevent disturbances of the load current and source voltage. Directly obtaining the feed-forward paths of the load current and source voltage in the discrete domain is a complicated process. Fortunately, the full feed-forward decoupling strategy can be easily applied to the discrete state-space controller by means of continuous transformation. Simulation and experimental results from a digital signal processor-based system are included to support theoretical analysis.

Contruction of a robust control system for a plant with time delay

  • Morikawa, Youichi;Kamiya, Yuji
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.103-105
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    • 1995
  • In this paper, though Simith controller is also used, we propose a new system configuration which can be regarded an SISO continuous nth-order plant with time delay of k-times of a sampling period as a linear discrete (n + k)th order plant of which all state variables can be available. Consequently, we can pply linear control system design techniques which do not consider the existence of time delay to the proposed system.

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