Convexity of diagonally scaled infinity norm optimal control problems-the square, one-sided case

摘要

A diagonally scaled multivariable L/sup infinity / optimization problem is reduced to finite-dimensional convex optimization for the case of square T/sub 12/, T/sub 21/d, T/sub 11/ in (H/sup infinity /)/sup n*n/ and either T/sub 12/ or T/sub 21/ containing no RHP zeros, i.e. the square, one-sided case. The solution to this problem plays a key role in the design of multivariable feedback controllers which optimize the excess stability margin or, equivalently, the structured singular value mu .