New parametrization of decentralized dynamic regulators designed by projective controls

The problem of designing multiple dynamic regulators in a decentralized setting has recently been approached utilizing the concept of projective controls. Determination of controller parameters to shape the residual spectrum of the closed-loop system resulted in a nonlinear synthesis problem which demanded development of a sequential design procedure. This paper presents a new parameterization of available freedom in controller parameters which allows the problem of residual spectrum shaping to be reduced to a well defined pole placement problem. The developed results are illustrated on a numerical example.