A loopshaping approach to controller design in networks of linear systems

A method for designing a set of controllers to robustly stabilise a network of linear systems is presented. The method allows the design of each controller to be posed as a loopshaping problem. Critically each loopshaping problem requires only local knowledge of the overall system model to formulate, and may be solved separately. Furthermore the approach is inherently scalable, as any local changes to the network model can be accommodated through the design of the corresponding local controllers, leaving all the others untouched.