Discrete-Time Sliding-Mode Congestion Control in Multisource Communication Networks With Time-Varying Delay

Ignaciuk, Przemysław; Bartoszewicz, Andrzej

doi:10.1109/tcst.2010.2056690

Cited by 55 publications

(31 citation statements)

References 51 publications

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Order By: Relevance

“…Consequently, for k ≥ k 0 , the nonlinear controller (33) becomes equivalent to the linear control law (15), whose action influences the stock level for k ≥ n + k 0 . Since both controllers incorporate the order history in exactly the same way, then taking into account relation (25), the proposition is valid as a direct consequence of Theorem 3. This completes the proof.…”

Section: Theoremmentioning

confidence: 89%

“…If policy (33) is applied to system (5)-(6), and the reference stock level satisfies inequality (25), then for any k ≥ n + k 0 the stock level is strictly positive and demand is entirely satisfied from the readily available resources.…”

Section: Theoremmentioning

confidence: 99%

“…For this purpose, we propose discrete-time sliding-mode (SM) control, which is well known to be efficient and robust regulation technique [13][14][15][16][17][18][19]. Since a proper choice of the switching plane is the key part of the design of SM controllers [20][21][22][23][24][25], in this work, we determine the plane parameters for a dead-beat scheme. In this way we obtain fast response to the changes in demand and the minimum stock level.…”

Section: Introductionmentioning

confidence: 99%

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Dead-beat and reaching-law-based sliding-mode control of perishable inventory systems

Ignaciuk¹,

Bartoszewicz²

2011

Bulletin of the Polish Academy of Sciences: Technical Sciences

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Abstract. In this paper we consider the problem of efficient control of inventory systems with perishable goods. In the analyzed setting the deteriorating stock at a distribution center used to fulfill unknown, time-varying demand is replenished with delay from a supply source. The challenging issue is to achieve the high service level with minimum costs when the replenishment orders are procured with lead-time delay spanning multiple review periods. On the contrary to the typical heuristic approaches, we apply formal methodology based on discrete-time sliding-mode (SM) control. The proposed SM controller with the sliding plane selected for a dead-beat scheme ensures that the maximum service level is obtained in the system with arbitrary delay and any bounded demand pattern. In order to account for the supplier capacity limitations in the systems with input constraints, we also develop an alternative control strategy based on reaching law. Both controllers achieve a given service level with smaller holding costs and reduced order-to-demand variance ratio as compared to the classical order-up-to policy.

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Section: Theoremmentioning

confidence: 89%

Section: Theoremmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dead-beat and reaching-law-based sliding-mode control of perishable inventory systems

Ignaciuk¹,

Bartoszewicz²

2011

Bulletin of the Polish Academy of Sciences: Technical Sciences

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“…It is worth mentioning that, delays are mainly divided into the fixed communication delays and random communication delays, and various delay compensation schemes for fixed communication delays are compared in this paper, such as the neural network predictive control [96], weighted average predictive control [97,98], the gain scheduling [99][100][101][102][103][104][105][106] and synchronization schemes using multi-timer model [114]. Moreover, some compensation methods for random communication delays are also discussed, such as the generalized predictive control (GPC) [84,85], networked predictive control (NPC) [86][87][88][89], model predictive control (MPC) [90][91][92][93], Smith predictor (SP) [90,94,95], H ∞ control [107][108][109] and sliding mode control [110][111][112][113], etc. In addition, if one microgrid plugs in or plug out from the microgrid clusters, the topology and structure of the system will be inevitably different.…”

Section: Introductionmentioning

confidence: 99%

MAS-Based Distributed Coordinated Control and Optimization in Microgrid and Microgrid Clusters: A Comprehensive Overview

Han

Zhang

et al. 2018

IEEE Trans. Power Electron.

366

182

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Abstract-The increasing integration of the distributed renewable energy sources highlights the requirement to design various control strategies for microgrids (MGs) and microgrid clusters (MGCs). The multi-agent system (MAS)-based distributed coordinated control strategies shows the benefits to balance the power and energy, stabilize voltage and frequency, achieve economic and coordinated operation among the MGs and MGCs. However, the complex and diverse combinations of distributed generations in multi-agent system increase the complexity of system control and operation. In order to design the optimized configuration and control strategy using MAS, the topology models and mathematic models such as the graph topology model, non-cooperative game model, the genetic algorithm and particle swarm optimization algorithm are summarized. The merits and drawbacks of these control methods are compared. Moreover, since the consensus is a vital problem in the complex dynamical systems, the distributed MAS-based consensus protocols are systematically reviewed. NOMENCLATURE

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“…A dead-beat sliding mode controller for multi-source networks with a priori known round trip times is presented by Bartoszewicz and Zuk (2009), whereas in the work of Ignaciuk and Bartoszewicz (2008) an LQ optimal sliding mode controller for single-source networks is proposed. The same approach is then extended for multi-source networks by Ignaciuk and , who also design a similar optimal flow controller for multi-source networks with the round trip times which may change during the control process (Ignaciuk and Bartoszewicz, 2011).…”

mentioning

confidence: 99%

An optimal sliding mode congestion controller for connection-oriented communication networks with lossy links

Bartoszewicz

Leśniewski

2014

International Journal of Applied Mathematics and Computer Science

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A new discrete-time sliding-mode congestion controller for connection-oriented networks is proposed. Packet losses which may occur during the transmission process are explicitly taken into account. Two control laws are presented, each obtained by minimizing a different cost functional. The first one concentrates on the output variable, whereas in the second one the whole state vector is considered. Weighting factors for adjusting the influence of the control signal and appropriate (state or output) errors are incorporated in both the functionals. The asymptotic stability of the closed-loop system is proved, and the conditions for 100% bottleneck node bandwidth utilization are derived. The performance of the proposed algorithm is verified by computer simulations.

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Discrete-Time Sliding-Mode Congestion Control in Multisource Communication Networks With Time-Varying Delay

Cited by 55 publications

References 51 publications

Dead-beat and reaching-law-based sliding-mode control of perishable inventory systems

Dead-beat and reaching-law-based sliding-mode control of perishable inventory systems

MAS-Based Distributed Coordinated Control and Optimization in Microgrid and Microgrid Clusters: A Comprehensive Overview

An optimal sliding mode congestion controller for connection-oriented communication networks with lossy links

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