Distributed control of LPV systems over arbitrary graphs: A parameter-dependent lyapunov approach

The paper focuses on spatially distributed control systems where the controller sensing and actuation topology is inherited from that of the plant. Specifically, the paper considers distributed systems composed of discrete-time linear parameter-varying subsystems interconnected over general graph structures. These distributed systems are subject to a communication latency of one sampling period, where the information sent by a subsystem at the current time step is received by the target subsystem at the next time step. The paper provides analysis and synthesis conditions for control design in this setting, employing a parameter-dependent Lyapunov approach with the ℓ₂-induced norm as the performance measure. The paper also gives a fast and easy-to-implement algorithm for constructing the controller in real-time.