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.