Title :
On a nonlinear generalization of the ν-gap metric
Author :
Anderson, Brian D O ; Bruyne, Franky De
Author_Institution :
Dept. of Syst. Eng., Australian Nat. Univ., Canberra, ACT, Australia
fDate :
6/21/1905 12:00:00 AM
Abstract :
Presents a nonlinear extension of the ν-gap metric introduced in Vinnicombe (1993). Indeed, we present an input-output version of the generalized stability margin and the ν-gap metric. The notion of image representation as presented in van der Schaft (1996) allows one to use these alternative definitions in a nonlinear context for the derivation of a robust stability theorem
Keywords :
closed loop systems; nonlinear control systems; robust control; ν-gap metric; generalized stability margin; nonlinear generalization; robust stability theorem; Adaptive control; Adaptive systems; Feedback loop; Frequency; Image representation; Nonlinear systems; Robust stability; Robustness; Systems engineering and theory; Uncertainty;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.827958
