Decentralized robust disturbance attenuation for a class of large-scale nonlinear systems

Abstract

We solve the problem of decentralized H∞ almost disturbance decoupling for a class of large-scale nonlinear uncertain systems in the absence of matching conditions. The method combines ideas from decentralized adaptive control and centralized nonlinear H∞ control. We relax earlier assumptions on the uncertain time-varying interconnections which are demanded to be only bounded by general nonlinear functions in this work.

Decentralized Disturbance Attenuation for Large-Scale Nonlinear Systems With Delayed State Interconnections

“…In this paper, we extend our earlier result in [11] to large-scale nonlinear systems with delayed state interconnections. The class of large-scale time-delay systems under consideration significantly broadens most existing classes Yi of large-scale time-delay systems.…”

“…Remark 2: As an extension to the result in [11], the nett energy dissipation for the interconnected system S is obtained by constructing decentralized memoryless state feedback control laws to dominate other subsystem interactions by the subsystem stability margins. This is done by choosing the Lyapunov/storage function as the sum of subsystem Lyapunov-Krasovskii functionals.…”

“…The proof of the Claim is not difficult using the same approach as in [11], and is omitted here due to space limitations. Claim: Given any index 2 ≤ ι ≤ n − κ, for the system…”

“…On the basis of dissipativity/Lyapunov-stability theory and LyapunovKrasovskii functional, we prove the asymptotical stability for the interconnected systems in the absence of disturbance; and in the case of disturbance attenuation, any given L 2 gain from the disturbance to the system output is obtained. The notation used in this paper is standard and is the same as in [11].…”

A Survey of Decentralized Adaptive Control

“…In paper by Yang and Zhang (Yang and Zhang, 1996), the decentralized robust control design for a class of interconnected systems with time-varying uncertainties. The idea of combination the decentralized and centralized control is given by Guo et al (Guo et al, 1999). The problem of decentralized H-infinity almost disturbance decoupling for a class of large-scale nonlinear uncertain systems in the absence of matching conditions was solved.…”