Nonsmooth optimization for multiband frequency domain control design

Multiband frequency domain synthesis consists in the minimization of a finite family of closed-loop transfer functions on prescribed frequency intervals. This is an algorithmically difficult problem due to its inherent nonsmoothness and nonconvexity. We extend our previous work on nonsmooth H∞ synthesis to develop a nonsmooth optimization technique to compute local solutions to multiband synthesis problems. The proposed method is shown to perform well on illustrative examples.

• Type: Journal
• Year: 2007
• Where: AUTOMATICA
• Authors: Pierre Apkarian, Dominikus Noll
• Keywords: AUTOMATICA 2007, Closed-loop Transfer Functions, Multiband Frequency, Nonsmooth H∞ Synthesis