This paper investigates the problem of the state-feedback control design for a class of interconnected nonlinear full-state time-delay systems with strong interconnection and prescribed performance. Based on the dynamic gain approach and Lyapunov-Krasovskii method, it overcomes the rigorous restriction that the interconnected time-delay functions should satisfy linear growth condition. Compared with the existing results, the main contribution is that the dynamic gain approach is extended to state-feedback control for interconnected time-delay systems, and it is strictly proved that the closed-loop system is globally bounded stable with the proposed decentralised control strategy. The problem of the strong interconnection terms is solved by combining the backstepping approach and graph theory. Furthermore, the expected transient and steady-state performance of the output can be guaranteed by considering prescribed performance control into such strongly interconnected systems. Finally, simulation is performed and the results show the effectiveness of the proposed method.

本文研究了一类具有强互连性和规定性能的互连非线性全状态时滞系统的状态反馈控制设计问题。基于动态增益方法和Lyapunov-Krasovskii方法，它克服了互连时滞函数必须满足线性增长条件的严格限制。与现有结果相比，主要贡献是将动态增益方法扩展到互连时滞系统的状态反馈控制，并严格证明了闭环系统在提出的分散控制策略下全局有界稳定. 强互连项的问题是通过结合backstepping方法和图论来解决的。此外，通过将规定的性能控制考虑到这种强互连的系统中，可以保证输出的预期瞬态和稳态性能。最后，进行了仿真，结果表明了所提出方法的有效性。