Control of Time-delayed Uncertain Symmetrically Coupled Systems

摘要

Complexity reduced design of decentralized controllers is presented for a class of nonlinear symmetric composite uncertain systems with time-delays. Nominally linear systems composed of identical subsystems and symmetric interconnections are considered for systems with time-delays and bounded parametric uncertainties both in subsystems and interconnections. First, an artificial reduced-order design model is constructed. Its dimension equals to the dimension of a subsystem in the original system. Then, stabilizing controller-observer is designed using linear matrix inequalities (LMIs) for the design model. Luenberger-like observer with time delay is considered. It is proved that when this output controller is implemented into each subsystem of the original system then such decentralized output controller asymptotically stabilizes the overall system.