Adaptive control of uncertain nonlinear time-delay systems with external disturbance

Z Zhang, B Xu, C Tan, SS Ge - IEEE Transactions on Systems …, 2020 - ieeexplore.ieee.org
IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2020ieeexplore.ieee.org
In this article, adaptive state feedback stabilization is addressed for a class of delayed
uncertain systems with external disturbance, where the time delays and the bound
parameters of the delayed states and disturbance are assumed to be unknown. By
introducing a new Lyapunov–Krasovskii functional, we present a memoryless control
strategy to stabilize nonlinear time-delay systems through newly defined control gain
function. The main contribution of this article lies in the construction of control gain function …
In this article, adaptive state feedback stabilization is addressed for a class of delayed uncertain systems with external disturbance, where the time delays and the bound parameters of the delayed states and disturbance are assumed to be unknown. By introducing a new Lyapunov–Krasovskii functional, we present a memoryless control strategy to stabilize nonlinear time-delay systems through newly defined control gain function. The main contribution of this article lies in the construction of control gain function. Multiple gain functions can be revealed in a function set. The asymptotic stability of the closed delayed nonlinear system is ensured. Simulation examples are presented to show the effectiveness of the proposed method.
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