Fault tolerant time optimization for a class of time-varying switched infinite dimensional linear systems

Abstract

This paper addresses the issue of finding the optimal switching times for the time-varying switched infinite dimensional linear system with discrete faults that lead to the deviation of the actual switching signal from the normal one. A robust fault tolerant time optimization scheme based on an equivalent time transformation and a min–max mechanism is proposed to obtain the upper bound of optimal values of cost functional of all possible discrete faults. For any detectable discrete fault, an active fault tolerant time optimization scheme equipped with a switching detection technique and a gradient descent algorithm is presented to minimize every post-fault cost functional, which reduces the conservation of the robust one.