Title :
Upper bounds of structured singular values for mixed uncertainties
Author :
Lee, Jietae ; Edgar, Thomas F.
Author_Institution :
Dept. of Chem. Eng., Kyungpook Nat. Univ., Taegu, South Korea
Abstract :
Upper bounds of structured singular values for mixed uncertainties whose computations are efficient and reliable have been available. For uncertainties without real blocks and repeated complex scalar blocks, existing upper bounds are known to be quite tight. On the other hand, when the block structures of uncertainties include purely real or repeated complex block, tightness can be arbitrarily degraded. Here, improved upper bounds for mixed uncertainties with purely real uncertainties are proposed.
Keywords :
computational complexity; singular value decomposition; stability; block structures; complex scalar blocks; mixed uncertainties; structured singular values; upper bounds; Chemical engineering; Control systems; Controllability; Degradation; Linear matrix inequalities; Robust stability; Search methods; Sufficient conditions; Uncertainty; Upper bound;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272663