Decentralised output-feedback control for a class of stochastic non-linear systems using homogeneous domination approach

This study discusses the problem of decentralised output-feedback control for a class of stochastic non-linear systems under weaker conditions. Based on the adding one power integrator technique and homogeneous domination approach, a homogeneous observer and controller are constructed for each nominal subsystem without the perturbing non-linearities. Then, a scaling gain is introduced into the homogeneous observers and controllers to render the closed-loop system to be globally asymptotically stable in probability. Two simulation examples are provided to show the effectiveness of the control scheme.