document: Sliding mode dynamics in continuous feedback control for distributed discrete-event scheduling A continuous feedback control approach for real-time scheduling of discrete events is presented motivated by the need for control theoretic techniques to analyze and design such systems in distributed manufacturing applications . These continuous feedback control systems exhibit highly nonlinear and discontinuous dynamics . Specifically , when the production demand in the manufacturing system exceeds the available resource capacity then the control system `` chatters '' and exhibits sliding modes . This sliding mode behavior is advantageously used in the scheduling application by allowing the system to visit different schedules within an infinitesimal region near the sliding surface . In the paper , an analytical model is developed to characterize the sliding mode dynamics . This model is then used to design controllers in the sliding mode domain to improve the effectiveness of the control system to `` search '' for schedules with good performance . Computational results indicate that the continuous feedback control approach can provide near-optimal schedules and that it is computationally efficient compared to existing scheduling techniques
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