Title :
Some properties of an upper bound for μ
Author :
Meinsma, Gjerrit ; Shrivastava, Yash ; Fu, Minyue
Author_Institution :
Dept. of Electr. & Comput. Eng., Newcastle Univ., Callaghan, NSW, Australia
fDate :
9/1/1996 12:00:00 AM
Abstract :
A convex upper bound of the mixed structured singular value μ is analyzed. The upper bound is based on a multiplier method. It is simple, it can exploit low-rank properties, and it is shown to be less conservative than the well-known (D,G)-scaling. A direct relationship with (D,G)-scaling is given. The upper bound can be modified to one that is continuous with an explicit Lipschitz constant
Keywords :
Hermitian matrices; minimisation; robust control; (D,G)-scaling; convex upper bound; explicit Lipschitz constant; low-rank properties; mixed structured singular value; multiplier method; Computational efficiency; Eigenvalues and eigenfunctions; Linear matrix inequalities; Polynomials; Robust control; Robust stability; Sufficient conditions; Testing; Uncertainty; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on
