Anti-disturbance control for Markovian jump system via DOB output feedback control

This note studies the problems of the composite disturbance-observer-based (DOB) output feedback control and passive control for Markovian jump systems with nonlinearity and multiple disturbances. The purpose of the problem addressed is to design a DOB output feedback controller such that the resulting composite system is passive and different types of the disturbances can be attenuated and rejected. The characterization of the gains of the desired disturbance observer and the matrices of the expected output feedback controller are derived based on the solution to a convex optimization problem that can be easily solved by standard numerical software. Finally, a simulation example is employed to show the effectiveness of the composite control scheme proposed in this paper.