Decentralised output-feedback control for high-order stochastic non-linear systems

In this study, the problem of decentralised output-feedback stabilisation is investigated for the first time for a class of large-scale high-order stochastic non-linear systems. By developing a decentralised high-gain homogeneous domination approach, we can completely relax the power order restriction which has been the common assumption for global stabilisation of high-order stochastic non-linear systems. It is shown that under some general conditions, the equilibrium of the closed-loop system is globally asymptotically stable (GAS) in probability when the drift and diffusion vector fields vanish at the origin. The efficiency of the output-feedback controller is demonstrated by a simulation example.