Asymptotic Stabilization Adaptive Controller Design For Mismatched Interconnected Time Delay Systems

In this paper, the problem of decentralized robust adaptive control design is addressed for a class of large-scale system with interconnected time-varying delay. We decompose subsystem into cascade system by using state coordinate transformation and introducing state feedback. By choosing new Lyapunov Krasovskii functional, we prove that the states of the closed-loop system converge asymptotically to zero. The nonlinear gain function, which is proposed in this paper, is used in the controller and adaptive laws of the system. The effectiveness and feasibility of this proposed design technique is showed by the simulation example.