Sliding mode dynamics in continuous feedback control for distributed discrete-event scheduling
type: Item
instance of: scholarly article
title: Sliding mode dynamics in continuous feedback control for distributed discrete-event scheduling
zbMATH Open document ID: 1004.93006
DOI: 10.1016/S0005-1098(02)00093-6
author: Sohyung Cho
author: Vittaldas V. Prabhu
published in: Automatica
publication date: 2002-09-05T00:00:00Z
review text: The authors propose a distributed real-time scheduling method using continuous feedback control to minimize both earliness and tardiness of job completions about due dates. The combinatorial scheduling problem is embedded into a dynamics problem in \(\mathbb{R}^{n}\), allowing the sliding mode dynamics to be explored effectively. An analytic model for sliding mode dynamics is developed on the basis of Filippov's method. This model is applied for the prediction of the frequency with which the arrival time trajectory visits various modes. A synthesis technique for control system gains is proposed to improve the scheduling performance. Some examples are considered in detail.
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 93C65
Mathematics Subject Classification ID: 90B35
zbMATH DE Number: 1797132
zbMATH Keywords: discrete-event systems
zbMATH Keywords: distributed real-time scheduling
zbMATH Keywords: Filippov's method
zbMATH Keywords: synthesis technique
zbMATH Keywords: sliding mode dynamics
reviewed by: V. G. Skobelev
MaRDI profile type: Publication
cites work: Sequencing with Earliness and Tardiness Penalties: A Review
cites work: A backward algorithm for computing optimal controls for single-stage hybrid manufacturing systems
cites work: Differential equations with discontinuous right-hand side
cites work: Optimal release times in a single server: an optimal control perspective
cites work: One-machine n-part-type optimal setup scheduling: analytical characterization of switching surfaces
cites work: Stable, distributed, real-time scheduling of flexible manufacturing/assembly/diassembly systems
cites work: Sliding controller design for non-linear systems
cites work: Adaptive simulation and control of variable-structure control systems in sliding regimes
full work available at URL: s0005-1098(02)00093-6
OpenAlex ID: W2005398428
description: scientific article; zbMATH DE number 1797132