中文摘要：

研究了一类由偏微分方程组（Partial differential equations，PDE）描述的非线性空间分布系统的自适应容错控制（Fault—tolerant control，FTC）问题。首先，采用模态分解方法将PDE系统表示为一个有限雏慢子系统与一个无限维快子系统相耦合的型式；然后，基于慢子系统模型及小增益定理设计了自适应FTC律，使闭环系统在所有容许的未知非线性动态以及执行器卡死故障的影响下都能渐近稳定。

英文摘要：

The problem of adaptive fault-tolerant control （FTC） is studied for a class of nonlinear spatially distributed systems described by partial differential equations （PDE） in this paper. Initially, through the modal decomposition technique, the PDE system is represented as a finite-dimensional slow subsystem coupled with an infinite-dimensional fast residual subsystem. Subsequently, based on the slow subsystem and the small gain theorem, the adaptive FTC laws are developed so that the closed-loop system is asymptotically stable for all admissible unknown nonlinear dynamics and actuator failures characterized by some of the plant inputs being stuck at some unknown fixed values.