Distributed control of LPV systems over arbitrary graphs with communication latency

Abstract

Summary This paper focuses on spatially distributed control systems where the controller sensing and actuation topology is inherited from that of the plant. Specifically, this 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. Analysis and synthesis conditions are derived for control design in this setting using a parameter‐dependent Lyapunov approach with the ℓ2‐induced norm as the performance measure. Fast and easy‐to‐implement algorithms are also provided for constructing the controller in real time. The techniques developed are finally applied to a leader‐follower formation problem with intermittent communications.

Distributed Control of Multiple Supercapacitors via Static Feedback

“…In [3], authors claimed an efficient distributed control architecture for MMC system. Furthermore, distributed control for LPV systems over arbitrary graphs with communication latency was proposed in [4].…”