Decentralized robust adaptive output-feedback control for a class of large-scale stochastic time-delay nonlinear systems with dynamic interactions

The paper solves the problem of decentralized robust adaptive output-feedback control for a class of large-scale stochastic time-delay nonlinear systems. Under the assumptions that the inverse dynamics of the subsystems are stochastic input-to-state stable, an adaptive output-feedback controller is constructively designed by the back-stepping method. It is shown that under some milder conditions, the closed-loop system is globally stable in probability and the outputs can be regulated to an arbitrarily small neighborhood of the origin in probability and other signals in the closed-loop system are global bounded in probability by selecting the design parameters and appropriate Lyapunov function. A simulation example is presented to illustrate the effectiveness of the designed controller.