Sensitivity synthesis for MIMO systems: a multi objective H∞ approach

A series of multi-objective H_∞ design problems are considered in this paper. The problems are formulated as a number of coupled H_∞ design problems. These H_∞ problems can be formulated as sensitivity problems, complementary sensitivity problems, or control sensitivity problems for every output (or input) in the system. It turns out that these multi-objective H_∞ design problems, based on a number of different types of sensitivity problems, can be exactly decoupled into k H_∞ sensitivity problems for stable systems, where k is the number of outputs (for unstable systems, independent stabilization is required).