OBSERVER DESIGN FOR DISCRETE NONLINEAR DESCRIPTOR SYSTEMS

Authors
Citation
Dn. Shields, OBSERVER DESIGN FOR DISCRETE NONLINEAR DESCRIPTOR SYSTEMS, International Journal of Systems Science, 27(10), 1996, pp. 1033-1041
Citations number
20
Categorie Soggetti
System Science","Computer Science Theory & Methods","Operatione Research & Management Science
ISSN journal
00207721
Volume
27
Issue
10
Year of publication
1996
Pages
1033 - 1041
Database
ISI
SICI code
0020-7721(1996)27:10<1033:ODFDND>2.0.ZU;2-M
Abstract
A nonlinear observer is considered for a class of discrete nonlinear d escriptor systems subject to unknown inputs and faults. This class is partly characterized by globally Lipschitz nonlinearities, and a membe r system may be singular and possibly non-causal. The structure propos ed for the observer makes it useful for both state estimation for feed back controls and residual generation for fault detection. Results on the existence of solutions are given and some useful bounds are derive d which are important in the observer design. The proposed nonlinear o bserver is based on a transformed system and on the solution of a Ricc ati equation. The existence, convergence proper ties and robustness of the observer are investigated by the use of a quadratic Lyapunov func tion. A design algorithm is given and applied to the estimation of the states of a flexible joint robot.