H _∞ optimization with pole constraints of static output-feedback controllers-a non-smooth optimization approach

A non-smooth optimization approach for designing constant output-feedback controllers for linear time-invariant systems is considered. The design requirements combine H _∞ performance requirements with regional pole constraints. The pole constraints are embedded in the design criterion using a transformation on the system model which modifies the H _∞ -norm of the closed-loop system via a barrier function that is related to the closed-loop poles damping. The method is applied to various flight control examples.