Title :
Validity domain estimation for a class of nonlinear H∞ controllers
Author :
Bianchini, G. ; Genesio, R. ; Parenti, A. ; Tesi, A.
Author_Institution :
Dipt. di Sistemi e Inf., Firenze Univ., Italy
fDate :
6/21/1905 12:00:00 AM
Abstract :
The problem of estimating the domain of validity of state feedback H∞ controllers for a class of nonlinear systems is considered. Such a class is a generalization of the well-known Lur´e systems. A class of storage functions of the Lur´e-Postnikov type depending on a free scalar parameter is considered. For each value of this parameter, a tight estimation of the validity domain of the H∞ controller corresponding to the storage function is provided in form of a strip in the state space. The analytical expression of such estimation makes it possible to compare the performance of the obtained controllers. In particular, some conditions ensuring that nonlinear controllers guarantee larger validity domain estimations than linear controllers are given
Keywords :
H∞ control; Lyapunov methods; closed loop systems; nonlinear control systems; state feedback; state-space methods; Lur´e systems; Lur´e-Postnikov type functions; nonlinear H∞ controllers; state feedback H∞ controllers; storage functions; validity domain estimation; Closed loop systems; Control systems; Nonlinear control systems; Nonlinear systems; Parameter estimation; Performance analysis; State estimation; State feedback; State-space methods; Strips;
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.1999.827942
