Decentralized Adaptive Control for Interconnected Time-Delay Systems

Abstract

The problem of robust adaptive stabilization is considered for a class of time-varying nonlinear large-scale systems subject to multiple time-varying delays in the interconnections. The interconnections satisfy the match condition and are bounded by nonlinear functions that may contain a high-order polynomial with time delay. Without the knowledge of these bounds, we present adaptive state feedback controllers that are continuous and independent of time delay. Based on the Lyapunov stability theorem, we prove that the controllers can render the closed-loop systems uniformly ultimately bounded stable. In addition, the results are applied to stabilize a class of interconnected systems whose nominal systems are linear. Finally, several examples are given to show the potential of the proposed techniques.