ℓ1 distributed networked controller design for networked systems

This paper considers the problem of finding the ℓ₁ optimal networked controller for a networked system, where both plant and controller are interconnected systems interacting over a directed causal network. Adopting Youla parametrization, the optimal ℓ₁ control problem is formulated. Results show that distributed input to output ℓ₁ optimal control problem is a convex problem under certain conditions, provide a controller that is realizable on the given network and a network realization.