• Title/Summary/Keyword: multiple time delays

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ANTI-PERIODIC SOLUTIONS FOR BAM NEURAL NETWORKS WITH MULTIPLE DELAYS ON TIME SCALES

  • Shu, Jiangye;Li, Yongkun
    • Journal of applied mathematics & informatics
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    • v.29 no.1_2
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    • pp.279-292
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    • 2011
  • In this paper, we consider anti-periodic solutions of the following BAM neural networks with multiple delays on time scales: $$\{{x^\Delta_i(t)=-a_i(t)e_i(x_i(t))+{\sum\limits^m_{j=1}}c_{ji}(t)f_j(y_j(t-{\tau}_{ji}))+I_i(t),\atop y^\Delta_j(t)=-b_j(t)h_j(y_j(t))+{\sum\limits^n_{i=1}}d_{ij}(t)g_i(x_i(t-{\delta}_{ij}))+J_j(t),}\$$ where i = 1, 2, ..., n,j = 1, 2, ..., m. Using some analysis skills and Lyapunov method, some sufficient conditions on the existence and exponential stability of the anti-periodic solution to the above system are established.

Robust H$\infty$ Filtering for discrete-Time Polytopic Uncertain Systems with Multiple Time Delays

  • Kim, Jong-Hae;Park, Hong-Bae
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.34.3-34
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    • 2001
  • The design method of H$\infty$ filter for discrete-time uncertain linear systems with multiple state delays is investigated. The uncertain parameters are assumed to be unknown but belonging to known convex compact set of polytope type less conservative than norm bounded parameter uncertainty. The modified H$\infty$ performance measure is introduced to consider the initial states values which affect the performance of filter. The objective is to design a stable H$\infty$ filter guaranteeing asymptotic stability of filtering error dynamics and minimizing H$\infty$ norm bound. The sufficient condition for the existence of filter and the filter design method are established by LMI (linear matrix inequality) approach.

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Reduced variance implicit self-tuning a;gorithm with variable time-delays for robot manipulator (로보트 매니풀레이터의 시변 지연 시간을 고려한 분산 감소 임플리시트 자기동조 알고리즘)

  • 이희진;박민용;이상배
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.12-15
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    • 1988
  • A controller described in this paper is designed for implicit generalised minimum varience controller with variable time delays in which the weighting polynominals are calculated to reduce the output and control signals variances. This paper is based on the fact that the pole-assigment equation may have multiple solutions if the weighting polynominals are not of minimal order. It is shown that the larger order of the weighting polynominals increment the better is the stochastic behavior of the closed-loop system with variable time delays without changs in the deterministic behavior of the system. Based on this theory, the controller is applied to position control of a three-link manipulater with parameter uncertainty.

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Simple Stability Criterion for Interval Time-Delay Systems with Multiple Delays (다수의 시간지연을 갖는 구간 시간지연 시스템을 위한 간단한 안정 판별식)

  • Park, Ju-Hyun
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.38 no.6
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    • pp.22-27
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    • 2001
  • In this note, the asymptotic stability of interval time-delay systems with multiple delays is investigated. Sufficient conditions for the stability independent of delay and decaying rate for the system are derived in terms of the spectral radius. Numerical computations are performed to illustrate the result.

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Self-Tuning PID Control of Systems with Time-Varying Delays (시변 지연시간이 존재하는 시스템의 자기동조 PID 제어)

  • 남현도;안동준
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.39 no.4
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    • pp.364-370
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    • 1990
  • In this paper, we propose a self-tuning PID controller for unknown systems with time-varying delay. Using pole placement equations, we derive the controller that can be extended to the multi-step time delay case. The time-varying delays are estimated by a prediction error delay method using multiple predictors. Since the order of the estimation vector is not increased, the persistant exciting condition of control input is alleviated. Since the least square method gives biased parameter estimates for colored noise cases, the recursive instrumental variable method is used to estimate system parameters. The computational burden of the proposed method is less than the conventional adaptive methods. Computer simulations are performed to illustrate the efficiency of the proposed method.

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A novel smart criterion of grey-prediction control for practical applications

  • Z.Y. Chen;Ruei-yuan Wang;Yahui Meng;Timothy Chen
    • Smart Structures and Systems
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    • v.31 no.1
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    • pp.69-78
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    • 2023
  • The purpose of this paper is to develop a scalable grey predictive controller with unavoidable random delays. Grey prediction is proposed to solve problems caused by incorrect parameter selection and to eliminate the effects of dynamic coupling between degrees of freedom (DOFs) in nonlinear systems. To address the stability problem, this study develops an improved gray-predictive adaptive fuzzy controller, which can not only solve the implementation problem by determining the stability of the system, but also apply the Linear Matrix Inequality (LMI) law to calculate Fuzzy change parameters. Fuzzy logic controllers manipulate robotic systems to improve their control performance. The stability is proved using Lyapunov stability theorem. In this article, the authors compare different controllers and the proposed predictive controller can significantly reduce the vibration of offshore platforms while keeping the required control force within an ideal small range. This paper presents a robust fuzzy control design that uses a model-based approach to overcome the effects of modeling errors. To guarantee the asymptotic stability of large nonlinear systems with multiple lags, the stability criterion is derived from the direct Lyapunov method. Based on this criterion and a distributed control system, a set of model-based fuzzy controllers is synthesized to stabilize large-scale nonlinear systems with multiple delays.

Compensator Design for Linear System with Random Delay (불규칙한 시간지연이 존재하는 선형시스템의 제어기 설계)

  • 김선중;송택렬
    • Journal of Institute of Control, Robotics and Systems
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    • v.10 no.7
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    • pp.583-589
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    • 2004
  • Modem control systems often use a communication network to send measurement and control signals between nodes. Communication delays can be time varying. The length of the time delays is often hard to predict and modeled as being random. This paper proposes a combined controller used to compensate network time delay by estimating the delay with the interacting multiple model (IMM). The network delay is modeled as a Markov chain and 3 modes representing heavy, medium, and low network loads are used in the IMM. The proposed method is applied to an optimal control system with double integrators and the results are compared with the existing control methods.

Compensator Design for Linear Systems with Random Delay.

  • Kim, Sun-Jung;Song, Teak-Lyul
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.915-920
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    • 2003
  • Modern control systems often use a communication network to send measurement and control signals between nodes. Communication delays can be time varying. The length of the time delays is often hard to predict and are modeled as being random. This paper proposes a combined controller used to compensate network time delay by estimating the delay with the interacting multiple model (IMM). The network delay is modeled as a Markov chain and 3 modes representing heavy, medium, and low network loads are used in the IMM. The proposed method is applied to an optimal control system with double integrators and the results are compared with the existing control methods.

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A Heuristic Approach to Scheduling Multiple Cranes for Intra-Block Remarshalling (복수 크레인을 활용한 블록 내 컨테이너 이적 계획)

  • Oh, Myung-Seob;Kang, Jae-Ho;Ryu, Kwang-Ryel;Kim, Kap-Hwan
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • v.29 no.1
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    • pp.413-421
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    • 2005
  • Intra-block remarshalling is the task of rearranging into some target bays those containers which are scattered within around the block. If multiple transfer cranes installed in the block are all used together we may be able to complete the remarshalling task as early as possible. However, when multiple cranes are used simultaneously, there may occur significant delays if we do not carefully consider interferences between the cranes at the time of scheduling. Especially, delays caused by interferences occur more frequently in case of using non-crossing cranes. This paper presents an efficient heuristics method for assigning moves of containers to each crane and for determining an appropriate container moving order in a manner sensitive to the interferences. Simulation experiments have shown that the proposed method can effectively reduce delays in various environments.

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A Heuristic Approach to Scheduling Multiple Cranes for Intra-Block Remarshalling (복수 크레인을 활용한 블록 내 컨테이너 이적 계획)

  • Oh Myung-Seob;Kang Jaeho;Ryu Kwang Ryel;Kim Kap Hwan
    • Journal of Navigation and Port Research
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    • v.29 no.5 s.101
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    • pp.447-455
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    • 2005
  • Intra-block remarshalling is the task of rearranging into some target bays those containers which are scattered within around the block. If multiple transfer cranes installed in the block are all used together we may be able to complete the remarshalling task as early as possible. However, when multiple cranes are used simultaneously, there may occur significant delays if we do not carefully consider interferences between the cranes at the time of scheduling. Especially, delays caused by interferences occur more frequently in case of using non-crossing cranes. This paper presents an efficient heuristic method for assigning moves of containers to each crane and for determining an appropriate container moving order in a manner sensitive to the interferences. Simulation experiments have shown that the proposed method can effectively reduce delays in various environments.