Quadratic Stabilization and Robust Disturbance Attenuation Using Parametrization of Stabilizing State Feedback Gains - Convex Optimization Approach

This paper proposes a new approach to construct a state feedback such that satisfies multiple design specifications, using convex optimization technique and a parametrization of all stabilizing state feedback gains developed recently. The specifications considered are quadratic stability, robust output covariance attenuations, robust H
_∞
constraint and closed loop pole locations. Further, geometry of parameter spaces are also elucidated.