Distributed non-fragile stabilization of large-scale systems with random controller failure

This paper is concerned with the distributed stabilization of large-scale systems with gain variation and controller failure. The so-called distributed non-fragile control problem is firstly studied and a set of random variables are introduced to model the controller failure phenomenon. Based on the Lyapunov stability theory and some stochastic system analysis method, a sufficient condition is obtained such that the closed-loop system is asymptotically stable in the mean-square sense and achieves a prescribed H ∞ performance level. A simulation study on the interconnected inverted pendulums is given to show the effectiveness of the proposed controller design method.