Distributed dynamic output feedback control for discrete-time linear parameter varying systems

Proposed in this note, is a method for scheduled distributed dynamic output feedback controller design. The underlying large-scale system is assumed to be the interconnection of Linear Parameter Varying (LPV) discrete time sub-systems. Following the concept of Integral Quadratic Constraints, robust LPV controller is developed aiming at ℓ2 norm minimisation. The interconnection of the controller has been selected to be identical to the spacial distribution of the sub-systems to secure the level of sparsity in communication topology. By using agent-wise full block multipliers in the design phase, distributed output feedback controller design framework is obtained by the sequential use of elimination and dualization lemmas. In order to show the benefits of the suggested methodology, numerical simulation tests are carried out to control the traffic flow in a motorway segment by means of on-ramp input flow gating.

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