Distributed LPV state-feedback control with application to motorway ramp metering

In this paper, we develop a distributed state-feedback controller synthesis algorithm for a discrete-time LPV system that is composed of the interconnection of several sub-systems each scheduled by its own parameters. A set of LMI conditions are derived for robust ℒ2-gain performance of such a system in the framework of multiplier-based LPV synthesis. The results have been oriented to be applied in traffic flow control in motorways by ramp metering. First, with the use of a proper transformation, the nonlinear traffic flow model has been represented as the interconnection of LPV subsystems. Then the developed synthesis results have been used to design a gain-scheduled distributed state-feedback controller that keeps the density of all segments around a desired value by the use of ramp metering.

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