A Study of Fixed Order Mixed Norm Designs for a Benchmark Problem in Structural Control

This study investigates the use of H2, -synthesis, and mixed H2= methods to construct full order controllers and optimized controllers of xed dimensions. The benchmark problem de nition is rst extended to include uncertainty within the controller bandwidth in the form of parametric uncertainty representative of uncertainty in the natural frequencies of the design model. The sensitivity of H2 design to unmodeled dynamics and parametric uncertainty is evaluated for a range of controller levels of authority. Next, -synthesis methods are applied to design full order compensators that are robust to both unmodeled dynamics and to parametric uncertainty. Finally, a set of mixed H2= compensators are designed which are optimized for a xed compensator dimension. These Aerospace Engineer, ED12/Precision Pointing Control Systems, Phone: (205)544-1435, Email: [email protected] Professor, School of Aerospace Engineering, Phone: (404)894-7145, Email: [email protected] Research Engineer