Distributed control for distributed linear parameter varying systems

Considers stability analysis and performance control for distributed systems with time and spatial varying parameters. The distributed linear parameter-varying (LPV) system depends on the parameters in linear fractional transformation form. The parameters are assumed measurable in real-time for controller use. By adopting and preserving the spatial structure of the plant, the controller will have localized architecture, which can be implemented using parallel processors. Using full block multipliers, the stability property of the distributed parameter varying systems is guaranteed, by a structured Lyapunov function. Moreover, it is shown that the distributed LPV control algorithm can be determined through convex optimization as linear matrix inequalities