Title :
Review of LFTs, LMIs, and μ
Author :
Doyle, John ; Packard, Andy ; Zhou, Kemin
Author_Institution :
Dept. of Electr. Eng., Caltech, Pasadena, CA, USA
Abstract :
The authors present a tutorial overview of linear fractional transformations (LFTs) and the role of the structured singular value, μ, and linear matrix inequalities (LMIs) in solving LFT problems. The authors first introduce the notation for LFTs and briefly discuss some of their properties. They then describe μ and its connections with LFTs. They focus on two standard notions of robust stability and performance, μ stability and performance and Q stability and performance, and their relationship is discussed. Comparisons with the L1 theory of robust performance with structured uncertainty are considered
Keywords :
matrix algebra; stability; transforms; μ stability; L1 theory; Q stability; linear fractional transformations; linear matrix inequalities; performance; robust stability; structured singular value; Control theory; Feedback; Linear matrix inequalities; NASA; Optimal control; Robust stability; Robustness; State-space methods; Transfer functions; Uncertainty;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261572
