Output-feedback quantised control of decentralised systems

The problem of designing decentralised ℋ_∞ feedback control for a class of linear interconnected continuous-time systems with quantised signals in the subsystem control channels is fully examined. The system has unknown-but-bounded couplings and interval delays. A decentralised static output-feedback controller is designed at the subsystem level to render the closed-loop system is delay-dependent asymptotically stable with guaranteed γ-level. When the local output measurements are quantised, we develop a local output-dependent procedure for updating the quantiser parameters to attain similar asymptotic stability and guaranteed performance of the closed-loop quantised system. Several special cases of interest are derived. Simulation of two representative examples are presented to show the effectiveness of the developed approach.