QUADRATIC STABILIZATION WITH PARTIAL EIGENSTRUCTURE ASSIGNMENT: APPLICATION TO FLIGHT CONTROL DESIGN

摘要

This paper proposes a new design method for state feedback laws which simultaneously achieve quadratic stabilization and assignment of eigenstructure corresponding to partial closed-loop poles. As a typical application of the method, flight control design for an aircraft model with structured uncertainty is presented. In contrast to previous studies, This method assigns dominant system modes (e.g. roll mode, Dutch-roll mode) with others (e.g. actuator internal modes) unspecified. This means that more freedom is left for the design of feedback law than previous methods. This freedom can be utilized for ensuring robust stability such as quadratic stability. The design problem is reduced to a practically attainable numerical optimization problem under LMI (Linear Matrix Inequality) constraints and a non-linear equality constraint.