Title :
Parameter-dependent Lyapunov functions, constant real parameter uncertainty, and the Popov criterion in robust analysis and synthesis. 1
Author :
Haddad, M. ; Bernstein, Dennis S.
Author_Institution :
Dept. of Mech. & Aerosp. Eng., Florida Inst. of Technol., Melbourne, FL, USA
Abstract :
A framework for parameter-dependent Lyapunov functions, a less conservative refinement of `fixed´ Lyapunov functions, is developed. An immediate application of this framework is a reinterpretation of the classical Popov criterion as a parameter-dependent Lyapunov function. This observation is exploited to obtain conditions for robust controller synthesis with full-state, full-order, and reduced-order controllers in H2 and H2/H∞ settings
Keywords :
Lyapunov methods; control system analysis; control system synthesis; optimal control; stability; H∞ control; H2 control; Popov criterion; constant real parameter uncertainty; optimal control; parameter-dependent Lyapunov functions; robust controller synthesis; stability; Adaptive control; Cams; Damping; Feedback control; Frequency; Lyapunov method; Robust control; Robust stability; Robustness; Uncertain systems; 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.1991.261555
