Structured, Reduced-Order H2-Conic Control

Practical controllers for large-scale systems must be low-order and sparsely communicating, as well as high-performing and robust to uncertainty. H2-conic design addresses the latter requirements where passivity and H∞ methods are inapplicable, but it has yet to address the former. Here, the fixed-order H2-conic design problem is posed as a series of convergent approximations. The resulting synthesis algorithm uses all controller parameters as explicit design variables, and is guaranteed to find a feasible controller under mild assumptions. This improves performance over previous H2-conic designs while permitting controller dimension and communication structure to be arbitrarily chosen, which allows reduced-order and sparse distributed designs. The relationship between variable structure and computational complexity is explored, and the main algorithm is applied to numerical examples.

Duke Scholars

Author Leila Bridgeman Thomas Lord Department of Mechanical Engineering and Materia ...