Distributed Controller for Linear Multi-Channel Systems and its Distirbuted Implementation.
Taekyoo Kim, Hyungbo Shim · arXiv (Cornell University) · 2020
This paper proposes a distributed output feedback controller for continuous-time linear time-invariant multi-channel plants. Through the channel, the plant interacts with networked agents but each agent's interaction is limited to the designated input-output channel and, moreover, the inter-agents communication area is restricted to neighboring agents. Based on these settings, we propose a distributed controller which can be distributedly implemented by each agent only with the knowledge of the plant system matrix, the number of agents, and its own input matrix under assuming only the controllability and the observability of the aggregation of the plant and the connectedness of the communication network. As a first step, we broke the problem of designing a distributed output feedback controller into two design problems for control gain and the injection gain, like the classical linear control theory. Next, we devise the distributed Lyapunov equation solver and distributedly compute the stabilizing gains via Bass' algorithm to achieve the distributed implementation.