Parametric output feedback control with left eigenstructure insensitivity

A recent parameterization of the class of linear output feedback controllers that assign a set of desired self-conjugate eigenvalues to the closed-loop system is used to formulate and solve a fundamental response insensitivity problem. It is established to what extent output feedback control can be used to render the closed-loop system left eigenstructure insensitive to possibly many, not necessarily small, parameter variations in the open-loop state-space model. A nonconservative sequential design procedure is developed for making as many of the closed-loop system left eigenmodes as possible totally insensitive while retaining arbitrary assignment of the maximum number of closed-loop eigenvalues. The main result is a class of left eigenstructure desensitizing fixed gain output feedback controllers explicitly specified by a set of free parameters that can be chosen to satisfy additional design requirements.<>