• Title/Summary/Keyword: State Delay

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Estimation and Prediction-Based Connection Admission Control in Broadband Satellite Systems

  • Jang, Yeong-Min
    • ETRI Journal
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    • v.22 no.4
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    • pp.40-50
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    • 2000
  • We apply a "sliding-window" Maximum Likelihood(ML) estimator to estimate traffic parameters On-Off source and develop a method for estimating stochastic predicted individual cell arrival rates. Based on these results, we propose a simple Connection Admission Control(CAC)scheme for delay sensitive services in broadband onboard packet switching satellite systems. The algorithms are motivated by the limited onboard satellite buffer, the large propagation delay, and low computational capabilities inherent in satellite communication systems. We develop an algorithm using the predicted individual cell loss ratio instead of using steady state cell loss ratios. We demonstrate the CAC benefits of this approach over using steady state cell loss ratios as well as predicted total cell loss ratios. We also derive the predictive saturation probability and the predictive cell loss ratio and use them to control the total number of connections. Predictive congestion control mechanisms allow a satellite network to operate in the optimum region of low delay and high throughput. This is different from the traditional reactive congestion control mechanism that allows the network to recover from the congested state. Numerical and simulation results obtained suggest that the proposed predictive scheme is a promising approach for real time CAC.

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Balanced Model Reduction for Linear Systems with State Delay (상태변수에 시간지연을 갖는 선형시스템의 균형화된 모델 차수 축소)

  • Yoo, Seog-Hwan
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.35S no.11
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    • pp.68-74
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    • 1998
  • This paper deals with a model reduction problem for the linear systems with state delay. After defining the controllability/observability Gramians, the concept of a balanced model for the linear systems with state delay is introduced. Based on solutions of linear matrix inequalities, the model reduction method with guaranteed error bounds is developed. In order to demonstrate the efficacy of teh suggested method, a numerical example is also performed.

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Robust Time Delay Compensation for DTC-Based Induction Machine Systems via Extended State Observers

  • Wang, Fengxiang;Wang, Junxiao;Yu, Li
    • Journal of Power Electronics
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    • v.18 no.3
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    • pp.736-745
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    • 2018
  • This paper presents an extended state observer (ESO) based direct torque control (DTC) for use in induction motor systems to handle the issues of time delays, load torque disturbances and parameter uncertainties. Direct torque control offers an excellent torque response and it does not require a proportion integration (PI) controller in the current loop. However, a PI controller is still adopted in the outer speed loop to generate the torque reference value, which is a slow method. An ESO based compound control scheme is proposed to improve the response rate and accuracy of the torque reference signal, especially when load torque is injected. In addition, the time delay problem is analyzed and compensated for in this paper to reduce torque ripples. The proposed disturbance compensation technique based direct control scheme is shown to have good performance both in the transient and stable states via simulations and experimental results.

Stability of Slotted Aloha with Selfish Users under Delay Constraint

  • Chin, Chang-Ho;Kim, Jeong-Geun;Lee, Deok-Joo
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.5 no.3
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    • pp.542-559
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    • 2011
  • Most game-theoretic works of Aloha have emphasized investigating Nash equilibria according to the system state represented by the number of network users and their decisions. In contrast, we focus on the possible change of nodes' utility state represented by delay constraint and decreasing utility over time. These foregone changes of nodes' state are more likely to instigate selfish behaviors in networking environments. For such environment, in this paper, we propose a repeated Bayesian slotted Aloha game model to analyze the selfish behavior of impatient users. We prove the existence of Nash equilibrium mathematically and empirically. The proposed model enables any type of transmission probability sequence to achieve Nash equilibrium without degrading its optimal throughput. Those Nash equilibria can be used as a solution concept to thwart the selfish behaviors of nodes and ensure the system stability.

Delay-Dependent Stabilization for Uncertain Dynamic Systems with State and Input Delays (상태변수와 입력변수에 시간지연을 갖는 불확정 동적 시스템의 제어기 설계)

  • Cho Hyun-Ju;Park Ju-Hyun
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.54 no.4
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    • pp.215-219
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    • 2005
  • This paper aims at asymptotic stabilization for uncertain dynamic systems with state and input delays. We propose a memoryless state feedback controller which maximizes the delay bound for guaranteeing stability of the system. Using Lyapunov method and linear matrix inequality (LMI) approach, a delay-dependent stabilization criterion is devised by taking the relationship between the terms in the Leibniz-Newton formula into account. The criterion is represented in terms of LMIs, which can be solved by various efficient convex optimization algorithms. Numerical examples are given to illustrate our main method.

H filter design for offshore platforms via sampled-data measurements

  • Kazemy, Ali
    • Smart Structures and Systems
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    • v.21 no.2
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    • pp.187-194
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    • 2018
  • This paper focuses on the $H_{\infty}$ filter design problem for offshore steel jacket platforms. Its objective is to design a full-order state observer for offshore platforms in presence of unknown disturbances. To make the method more practical, it is assumed that the measured variables are available at discrete-time instants with time-varying sampling time intervals. By modelling the sampling intervals as a bounded time-varying delay, the estimation error system is expressed as a time-delay system. As a result, the addressed problem can be transformed to the problem of stability of dynamic error between the system and the state estimator. Then, based on the Lyapunov-Krasovskii Functional (LKF), a stability criterion is obtained in the form of Linear Matrix Inequalities (LMIs). According to the stability criterion, a sufficient condition on designing the state estimator gain is obtained. In the end, the proposed method is applied to an offshore platform to show its effectiveness.

[ $H_2$ ] Filter for Time Delay Systems

  • Suh Young-Soo;Ro Young-Shick;Kang Hee-Jun
    • International Journal of Control, Automation, and Systems
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    • v.4 no.5
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    • pp.539-544
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    • 2006
  • An $H_2$ filter is derived for time delay systems, where there are time delay terms in the state and in the output. A method to compute the $H_2$ norm of time delay systems is proposed. Based on the $H_2$ norm computation method, an $H_2$ filter design is formulated as a nonlinear optimization problem.

THE IMPACT OF DELAY IN THE TREATMENT OF AUTOINFLAMMATORY DISEASE WITH A MATHEMATICAL MODEL

  • Park, Anna
    • East Asian mathematical journal
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    • v.38 no.3
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    • pp.357-363
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    • 2022
  • Immunological imbalance eventually results in the development of various diseases. A typical example is an imbalance of cytokines with immunomodulatory abilities. In this paper, we propose a two-variable delay model to anti-pro-inflammatory cytokine therapy for autoimmune diseases, which are caused by an imbalance between the pro and anti-inflammatory cytokines. The interaction between pro- and anti-inflammatory cytokines were modeled mathematically to investigate the relevance of cytokines in disease processes. The delay time was estimated to maintain the stability of a biologically important steady state. In particular, the effects of delay with anti-pro-inflammatory cytokines therapy in autoinflammatory diseases were studied.

Robust Reliable H$\infty$ a Control of Continuous/Discrete Uncertain Time Delay Systems using LMI

  • Kim, Jong-Hae;Park, Hong-Bae
    • Transactions on Control, Automation and Systems Engineering
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    • v.1 no.2
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    • pp.121-127
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    • 1999
  • In this paper, we present robust reliable H$\infty$ controller design methods of continuous and discrete uncertain time delay systems using LMI (linear matrix inequality) technique, respectively. Also the existence conditions of state feedback control are proposed . Using some changes of variables and Schur complements, the obtained sufficient conditions are transformed into an LMI form. The closed loop system by the obtained controller is quadratically stable with H$\infty$ norm bound for all admissible uncertainties, time delay, and all actuator failures occurred within the prespecified set. We show the validity of the proposed method through numerical example.

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