Distributed control with controller gain variations

In the last few chapters, we have addressed the filtering problem of wireless networks with energy constraints and filter gain variations. From this chapter onwards, we turn to discuss the stabilization problem. In this chapter, the attention is focused on the non-fragile distributed stabilization of large-scale system, in which the controller gain variation and random controller failure are taken into account. Specifically, a set of stochastic variables are introduced to model the random controller failure phenomenon, then the additive controller gain variation problem is considered in the controller design. Based on the Lyapunov stability theory and some stochastic system analysis, a sufficient condition is obtained to guarantee that the closed-loop system is asymptotically stable in the mean-square sense with a prescribed H_∞ disturbance attenuation level. The optimal controller gain design algorithm is presented by solving an optimization problem. A simulation example is finally given to show the effectiveness of the proposed design.