Title :
H∞ control of LFT systems: an LMI approach
Author :
Lu, Wei-Min ; Doyle, John C.
Author_Institution :
Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA
Abstract :
The standard H∞ control problem for linear state-space systems is extended to general LFT systems, which involve a LFT (linear fractional transformation) on a structured free parameter Δ and can be interpreted as structuredly perturbed uncertain systems. Two generalizations of H∞ performance are considered, referred too as μ-performance and Q -performance with the latter implying the former. Necessary and sufficient conditions for a system to have Q-performance and for the existence of a controller yielding Q-performance can be expressed in terms of structured linear matrix inequalities (LMIs)
Keywords :
matrix algebra; optimal control; state-space methods; transforms; H∞ control; LFT systems; LMI approach; Q-performance; linear fractional transformation; linear state-space systems; mu -performance; necessary and sufficient conditions; structurally perturbed uncertain systems; structured free parameter; structured linear matrix inequalities; structuredly perturbed uncertain systems; Artificial intelligence; Control systems; Frequency; H infinity control; Linear matrix inequalities; Robust stability; Sufficient conditions; Testing; Transfer functions; Uncertain systems; Uncertainty; Upper bound;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371449
