Disturbance decoupling via measurement feedback for switched linear systems

The disturbance decoupling problems via measurement feedback for switched linear systems are studied in the framework of the so-called geometric approach. At first, the robust (Ci∈I,Ai∈I,Bi∈I)-pair which incorporates both the concepts of robust controlled (Ai∈I,Bi∈I)-invariant and its dual robust conditioned (Ci∈I,Ai∈I)-invariant subspaces for a family of linear systems is investigated. Next, disturbance decoupling problems via dynamic and/or static measurement feedback under arbitrary switching for switched linear systems are formulated, and necessary and sufficient conditions for the problems to be solvable are presented. After that the stabilization for disturbance decoupled systems under arbitrary switching is also discussed. Finally, an illustrative numerical example is given.