Adaptive fault-tolerant control for a class of nonlinear spatially distributed systems

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.