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.