Stability analysis of logistics networks with time-delays

Karimi, Hamid Reza; Kosmykov, Michael

doi:10.1080/09537287.2012.659867

Cited by 16 publications

(11 citation statements)

References 24 publications

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“…Finally, two examples have been given to demonstrate the potential of the proposed techniques. In the future work, the proposed IT2 fuzzy MPC method will be extended to more complex systems, such as networks with time delays [37] and networks with limited bandwidth [38].…”

Section: Discussionmentioning

confidence: 99%

Interval Type-2 Fuzzy Model Predictive Control of Nonlinear Networked Control Systems

Shi

Lam

et al. 2015

IEEE Trans. Fuzzy Syst.

114

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In this paper, the problem of fuzzy predictive control of nonlinear networked control systems subject to parameter uncertainties and defective communication links is studied. Stochastic variables with Bernoulli random binary distribution are used to represent the defective communication links with packets loss occurring intermittently between the controller and the physical plant. An interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy model is employed to describe the nonlinear plant subject to parameter uncertainties, which can be captured with the lower and upper membership functions. The IT2 fuzzy model and IT2 fuzzy controller are not required to share the same lower and upper membership functions. In order to design the state-feedback fuzzy model predictive controller, an optimization problem which minimizes the upper bound of a quadratic objective function subject to input constraints and packets dropout is formulated and solved at every sampling instant in the finite time horizon. By introducing some slack matrices, less conservative conditions are developed for system stability analysis. Two examples are given to demonstrate the effectiveness and merits of the proposed new design techniques.

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Section: Discussionmentioning

confidence: 99%

Interval Type-2 Fuzzy Model Predictive Control of Nonlinear Networked Control Systems

Shi

Lam

et al. 2015

IEEE Trans. Fuzzy Syst.

114

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“…In many practical systems, however, time delays are ubiquitous and unavoidable. Because the existence of time delay may not only affect the performance of the control, but also even undermine the stability of a system [12][13][14][15][16][17][18][19][20], the influence of time delay for system performance can not be ignored. Switched nonlinear delay systems are often met in practical systems such as networked control systems, drilling systems, and mechanical rotational cutting processes [21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Stability Properties of Switched Nonlinear Delay Systems with Synchronous or Asynchronous Switching

Wang¹,

Sun²,

Wang³

et al. 2014

Asian Journal of Control

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This paper is concerned with the problem of input‐to‐state stability (ISS) for a class of switched nonlinear delay systems. The cases where the switching signal of the system and the switching signal of the corresponding controller are synchronous and asynchronous are both considered. To study two asynchronous switching signals in a unified framework, we adopt the technique of the merging switching signal. Based on a piecewise Lyapunov–Krasovskii functional method, some sufficient conditions are explicitly given to guarantee the ISS of the switched nonlinear delay system under the average dwell time scheme. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed theory.

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“…Nepal et al [20] presented an analysis of the bullwhip effect and net-stock amplification in a three-echelon supply chain considering step changes in the production rates during a product's lifecycle demand. Dashkovskiy [21,22] considered local input-to-state stability of complex logistics networks. Mehrsai [23,24] tried to investigate the possibility of combining this new research paradigm with existing strategies in production logistics to improve material handling and control task according to material flow criteria.…”

Section: Introductionmentioning

confidence: 99%

Inherent Complexity Research on the Bullwhip Effect in Supply Chains with Two Retailers: The Impact of Three Forecasting Methods Considering Market Share

Bao

2014

Abstract and Applied Analysis

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An important phenomenon in supply chain management which is known as the bullwhip effect suggests that demand variability increases as one moves up a supply chain. This paper contrasts the bullwhip effect for a two-stage supply chain consisting of one supplier and two retailers under three forecasting methods based on the market share. We can quantify the correlation coefficient between the two retailers clearly, in consideration of market share. The two retailers both employ the order-up-to inventory policy for replenishments. The bullwhip effect is measured, respectively, under the minimum mean squared error (MMSE), moving average (MA), and exponential smoothing (ES) forecasting methods. The effect of autoregressive coefficient, lead time, and the market share on a bullwhip effect measure is investigated by using algebraic analysis and numerical simulation. And the comparison of the bullwhip effect under three forecasting methods is conducted. The conclusion suggests that different forecasting methods and various parameters lead to different bullwhip effects. Hence, the corresponding forecasting method should be chosen by the managers under different parameters in practice.

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Stability analysis of logistics networks with time-delays

Cited by 16 publications

References 24 publications

Interval Type-2 Fuzzy Model Predictive Control of Nonlinear Networked Control Systems

Interval Type-2 Fuzzy Model Predictive Control of Nonlinear Networked Control Systems

Stability Properties of Switched Nonlinear Delay Systems with Synchronous or Asynchronous Switching

Inherent Complexity Research on the Bullwhip Effect in Supply Chains with Two Retailers: The Impact of Three Forecasting Methods Considering Market Share

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