This paper deals with the problem of fixed-time stabilization for a class of high-order nonlinear systems with time-varying output constraint (also known as $p$-normal form systems). Compared with the existing results, the order of the systems can be less than 1, which is more relaxed. Moreover, each subsystem is with the dead-zone input and interconnected nonlinearity. We design a new decentralized fixed-time controller based on the recursive design method by revamping the technique of adding a power integrator and using the tan-type barrier Lyapunov function. The proposed controller is also effective for the systems with asymmetric output constraints. Based on Lyapunov stability theory, it is proved that the decentralized controller can realize that the outputs are strictly constrained within predefined boundaries and all state variables converge to zero in a fixed time, where the bound of reaching time is independent of the initial conditions. Finally, simulation examples are given to illustrate the effectiveness of the proposed method.

本文研究一类具有时变输出约束的高阶非线性系统的定时镇定问题（也称为 $磷$-范式系统）。与现有结果相比，系统的阶数可以小于1，更加宽松。此外，每个子系统都具有死区输入和相互关联的非线性。我们通过改进添加功率积分器和使用tan型势垒Lyapunov函数的技术，基于递归设计方法设计了一种新的分散式定时控制器。所提出的控制器对于具有非对称输出约束的系统也是有效的。基于李雅普诺夫稳定性理论，证明了分散控制器可以实现输出严格约束在预定边界内，所有状态变量在固定时间内收敛到零，其中到达时间边界与初始条件无关。最后，