Deterministic Control of Large-scale Uncertain Dynamical Systems

We consider the design of control schemes for large-scale systems composed of interconnected subsystems with time-varying uncertainties. The local control, utilizing solely the state of the subsystem, and the global control, utilizing the states of the neighboring subsystems as additional information, are proposed to guarantee certain deterministic performance, including uniform boundedness and uniform ultimate boundedness. It can be shown that the local control is applicable provided a test matrix T satisfies certain requirements. The global control, on the other hand, is applicable if the interconnections between subsystems satisfy certain structural constraints. The salient features of these control schemes is that the only information required is the bounds of uncertainties.