Journal
ELECTRONICS
Volume 12, Issue 1, Pages -Publisher
MDPI
DOI: 10.3390/electronics12010005
Keywords
closed-loop systems; nonlinear control systems; stability analysis; urban traffic
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This paper analyzes the closed-loop stability of a traffic process with a relay controller and negative feedback, taking into account multiple time delays in the road segment and the controller.
Rule-based relay controllers are common in single-lane urban traffic control systems and introduce significant nonlinearity. In this paper, we analyze the closed-loop stability for a traffic process with a relay controller and negative feedback, with respect to several time delays present in the plant. First, we derive models for the road segment and the controller. Second, we investigate the system stability based on describing the function analysis. Finally, we present the numerical results.
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