Overlapping Decompositions and Decentralized Robust Controller Design for Neutral Time-delay Systems

Decentralized robust controller design for neutral time-delay systems which have an overlapping structure is considered. Overlapping decompositions and expansions are used to derive a robustness bound which accounts for both the uncertainties (both in the time-delays and in the matrices of the model) and the neglected interactions among the subsystems. An approach to design decentralized robust controllers is then proposed. Apart from the derivation of the aforementioned bound, the approach is completely based on local nominal models and is decoupled for each subsystem.