• Title/Summary/Keyword: Time delay system

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Stability of Interval Time-delayed Linear Systems using a Switched System Approach (전환 시스템 접근법을 이용한 구간 시간지연 선형 시스템의 안정성)

  • Kim, Joo-Kyeong;Kim, Jin-Hoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.62 no.5
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    • pp.673-678
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    • 2013
  • This paper considers the stability of linear systems having an interval time-varying delay using a switched system approach. The time-delay system is converted to the switched system equivalently, and then a stability criterion in the form of linear matrix inequality(LMI) is derived by using a parameter dependent Lyapunov-Krosovskii function(PD-LKF). In constructing a PD-LKF, the decomposition is employed for delay free intervals, and the reduction of conservatism is shown analytically as the number of decomposition increases. Finally, two well-known numerical examples are given to show the reduction of conservatism compared to the recent results.

Analysis of the Lateral Motion of a Tractor-Trailer Combination (II) Operator/Vehicle System with Time Delay for Backward Maneuver

  • Mugucia, S.W.;Torisu, R.;Takeda, J.
    • Proceedings of the Korean Society for Agricultural Machinery Conference
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    • 1993.10a
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    • pp.1147-1156
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    • 1993
  • In order to analyze lateral control in the backward maneuver of a tractor -trailer combination , a kinematic vehicle model and a human operator model with time delay were utilized for the operator/vehicle system. The analysis was carried out using the frequency domain approach. The open-loop stability of the vehicle motion was analyzed through the transfer functions. The sensitivity of the stability of the vehicle motion. to a change in the steering angle, was also analyzed. A mathematical model of the closed -loop operator/vehicle system was then formulated. The closed -loop stability of the operator /vehicle system was then analyzed. The effect of the delay time on the system was also analyzed through computer simulation.

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Online Learning Control for Network-induced Time Delay Systems using Reset Control and Probabilistic Prediction Method (네트워크 기반 시간지연 시스템을 위한 리세트 제어 및 확률론적 예측기법을 이용한 온라인 학습제어시스템)

  • Cho, Hyun-Cheol;Sim, Kwang-Yeul;Lee, Kwon-Soon
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.9
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    • pp.929-938
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    • 2009
  • This paper presents a novel control methodology for communication network based nonlinear systems with time delay nature. We construct a nominal nonlinear control law for representing a linear model and a reset control system which is aimed for corrective control strategy to compensate system error due to uncertain time delay through wireless communication network. Next, online neural control approach is proposed for overcoming nonstationary statistical nature in the network topology. Additionally, DBN (Dynamic Bayesian Network) technique is accomplished for modeling of its dynamics in terms of casuality, which is then utilized for estimating prediction of system output. We evaluate superiority and reliability of the proposed control approach through numerical simulation example in which a nonlinear inverted pendulum model is employed as a networked control system.

Delay Dependent Fuzzy H Control of Radar Gimbal Stabilization System with Parameter Uncertainty and Time Delay (파라미터 불확실성 및 시간지연을 갖는 레이더 김벌 안정화 시스템의 지연종속 퍼지 H 제에)

  • Kim, Tae-Sik;Lee, Hae-Chang;Lee, Kap-Rai
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.11
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    • pp.920-929
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    • 2005
  • This paper presents controller design method for nonlinear radar gimbal system with parameter uncertainty and time delay. In order to consider nonlinearity of gimbal bearing frictional torque, we firstly represent fuzzy model for the nonlinear gimbal system, which is achieved by fuzzy combination of linear models through nonlinear fuzzy membership functions. And secondly we propose a delay dependent fuzzy $H_\infty$ controller design method for the delayed fuzzy model with parameter uncertainty and design radar gimbal controller. The designed controller stabilize gimbal system and guarantee $H_\infty$ performance. A computer simulation is given to illustrate stabilized control performances of the designed controller.

Delay-dependent stabilization for time-delay systems;An LMI approach

  • Cho, H.J.;Park, Ju-H.;Lee, S.G.
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1744-1746
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    • 2004
  • This paper focuses on the problem of asymptotic stabilization for time-delay systems. To this end, a memoryless state feedback controller is proposed. Then, based on the Lyapunov method, a delay-dependent stabilization criterion is devised by taking the relationship between the terms in the Leibniz-Newton formula into account. Certain free weighting matrices are used to express this relationship and linear matrix inequalities (LMIs)-based algorithm to design the controller stabilizing the system.

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On Feedback Linearization of Nonlinear Time-Delay Systems

  • Shin, Hee-Sub;Lim, Jong-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1906-1908
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    • 2004
  • We propose a result on the stabilization of nonlinear time-delay systems via the feedback linearization method. Using the predictor based control and the parametric coordinate transformation, we introduce a stabilizing controller to compensate time delay. Specifically, we present the delay-dependent stability analysis to makes the considered system stable. Also, an illustrative example is provided

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Analysis of computational delay effect on digital PID control system (디지틀 PIC 제어시스템의 계산 지연 영향 분석)

  • 이상정;홍석민;윤기준
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10a
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    • pp.529-533
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    • 1990
  • This paper treats the computational time delay issue in designing digital control systems. The computational time delay margin, within which the closed-loop stability is guaranteed, is analyzed using Rouche theorem. A PID control algorithm is proposed for compensating the computational time delay. Finally, the analyzed and the exact computational time delay margins are compared, and the performance of the proposed PID controller is shown through an illustrative example.

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The Development of Anti-Windup Scheme for Time Delay Control with Switching Action Using Integral Sliding Surface (적분형 슬라이딩 서피스를 이용한 TDCSA(Time Delay Control With Switching Action)의 와인드업 방지를 위한 기법의 개발)

  • Lee, Seong-Uk;Jang, Pyeong-Hun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.8
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    • pp.1534-1544
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    • 2002
  • The TDCSA(Time Delay Control with Switching Action) method, which consists of Time Delay Control(TDC) and a switching action of sliding mode control(SMC), has been proposed as a promising technique in the robust control area, where the plant has unknown dynamics with parameter variations and substantial disturbances are preset. When TDCSA is applied to the plant with saturation nonlinearity, however, the so-called windup phenomena are observed to arise, causing excessive overshoot and instability. The integral element of TDCSA and the saturation element of a plant cause the windup phenomena. There are two integral effects in TDCSA. One is the integral effect occurred by time delay estimation of TDC. Other is the integral term of an integral sliding surface. In order to solve this problem, we have proposed an anti-windup scheme method for TDCSA. The stability of the overall system has been proved for a class of nonlinear system. Experiment results show that the proposed method overcomes the windup problem of the TDCSA.

A Robust Longitudinal Landing Controller to Datalink Time Delay

  • Lee, Sang-Hyo;Rhee, Ihn-Seok;Kee, Chang-Don;Koo, Hueon-Joon
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.886-891
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    • 2003
  • This paper deals with designing a ground-based longitudinal landing controller which is robust to datalink time delays. Time delays occur because forward velocity measurements are downlinked and the controller output commands are uplinked. An $H_{\infty}$ controller was designed by using the input/output decomposition where time delay is modeled as a first-order system with Pade approximation. Linear simulations show that the system tracks well the predefined path and is robust to the variation of time delay.

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Modeling and Simulation of the Cardiovascular System Using Baroreflex Control Model (압반사 제어모델을 이용한 심혈관 시스템의 모델링 및 시뮬레이션)

  • Choi, B.C.;Eom, S.H.;Nam, G.K.;Son, K.S.;Lee, Y.W.;Jun, K.R.
    • Proceedings of the KOSOMBE Conference
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    • v.1997 no.05
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    • pp.165-170
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    • 1997
  • In this paper, we consider the aortic sinus baroreceptor, which is the most representative baroreceptors sensing the variance of pressure in the cardiovascular system(CVS), and propose heart activity control model to observe the effect of delay time in heart period and stroke volume under the regulation of baroreflex in arotic sinus. The proposed heart activity baroreflex regulation model contains CVS electric circuit sub-model, baroreflex regulation sub-model and time delay sub-model. In these models, applied electric circuit sub-model is researched by B.C.Choi and the baroreflex regulation sub-model transforms the input, the arotic pressure of CVS electric circuit sub-model, to outputs, heart period and stroke volume by mathematical nonlinear feedback. We constituted the time delay sub-model to observe sensitivity of heart activity baroreflex regulation model by using the variable value to represent the control signal transmission time from the output of baroreflex regulation model to efferent nerve through central nervous system. The simulation object of this model is to observe variability of the CVS by variable value in time delay sub-model. As simulation results, we observe three patterns of CVS variability by the time delay. First, if the time delay is over 2.5 sec, arotic pressure, stroke volume and heart rate is observed nonperiodically and irregularly. Second, if the time delay is from between 0.1 sec and 0.25 sec, the regular oscillation is observed. Finally, if time delay is under 0.1 sec, then heart rate and arotic pressure-heart rate trajectory is maintained in stable state.

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