Adaptive Tracking and Disturbance Rejection for a Class of Distributed Systems

In this paper, direct adaptive-state feedback control schemes are developed to solve the problem of asymptotic tracking and disturbance rejection for a class of distributed large-scale systems with faulty and perturbed interconnection links. In terms of the special distributed architectures, the adaptation laws are proposed to update controller parameters on-line when all interconnected fault factors, the upper bounds of perturbations in interconnection links, and external disturbances on subsystems are unknown. Then, a class of distributed state feedback controllers is constructed to automatically compensate the fault and perturbation effects, and reject the disturbances simultaneously based on the information from adaptive schemes. The proposed adaptive robust tracking controllers can guarantee that the resulting adaptive closed-loop distributed system is stable and each subsystem can asymptotic-output track the corresponding reference signal in the presence of faults and perturbations in interconnection links, and external disturbances. The proposed design technique is finally evaluated in the light of a simulation example.