An algorithm for H∞ optimization of a linear time invariant system using singular value decomposition

Many classes of feedback control designs can be reformulated as a static output feedback optimization problem. Previous work by Burchett and Costello (1997) has exploited direct ways to compute the H₂ optimal output feedback gains using dyadic decomposition and analytic derivatives of the eigensystem. This work presents a modification of this technique with application to H_∞ performance optimization. Analytic derivatives of the singular value decomposition (SVD) are central to this method. The method is applied to two aircraft flight control problems