Stabilization and performance synthesis for systems with repeated scalar nonlinearities

Authors
Citation
Yc. Chu et K. Glover, Stabilization and performance synthesis for systems with repeated scalar nonlinearities, IEEE AUTO C, 44(3), 1999, pp. 484-496
Citations number
29
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN journal
00189286 → ACNP
Volume
44
Issue
3
Year of publication
1999
Pages
484 - 496
Database
ISI
SICI code
0018-9286(199903)44:3<484:SAPSFS>2.0.ZU;2-Z
Abstract
The class of nonlinear systems described by a discrete-time state-equation containing a repeated scalar nonlinearity as in recurrent neural networks i s considered, Given a plant of this form, sufficient conditions are derived for: 1) the parameterization of all controllers of the same farm such that the closed loop is stable In the sense of a diagonally dominant Lyapunov f unction and 2) the synthesis of a controller of the same form so that the i nduced norm of the closed loop is under a prescribed level. Several of thes e conditions can be written into linear matrix inequalities.