An LFT approach for distributed control of nonstationary LPV systems

We develop an operator theoretic framework for heterogeneous, discrete-time, nonstationary linear parameter-varying systems in linear fractional representation. These systems are interconnected over arbitrary directed graphs and subjected to a communication latency of one sampling period. We give results, based on the ℓ
₂
-induced norm performance measure, for analysis and synthesis of distributed controllers that have the same structure as the plant. The analysis and synthesis conditions are convex, but infinite dimensional in general. They become finite dimensional in the case of distributed eventually time-periodic systems over finite graphs.