Quadratic stabilization of linear networked control systems via simultaneous protocol and controller design

We develop necessary and sufficient conditions for quadratic stabilizability of linear networked control systems by dynamic output feedback and communication protocols. These conditions are used to develop a computationally tractable design for simultaneous synthesis of controllers and protocols in terms of matrix inequalities. The obtained protocols do not require knowledge of controller and plant states but only of the discrepancies between current and the most recently transmitted values of nodes’ signals, and are implementable on control area networks. We demonstrate on a batch reactor example that our design guarantees quadratic stability with a significantly smaller network bandwidth than previously available designs.