Title :
Algebraic and geometrical conditions for the observability of the discrete state of a class of hybrid systems
Author :
Chaïb, Salim ; Boutat, Driss ; Benali, Abderraouf ; Barbot, Jean Pierre
Author_Institution :
Lab. de Vision et Robotique, Ecole Nationale Suprieure d´´Ingnieurs de Bourges
Abstract :
In this paper we deal with the observability of piecewise-affine hybrid systems. Our aim is to give the sufficient conditions to observe the discrete and continuous states, in terms of algebraic and geometrical conditions. First, we will give the algebraic conditions for discrete state observability based on the switch function reconstruction for linear hybrid systems. Secondly, we will give a geometrical condition based on a transversality concept for nonlinear hybrid systems
Keywords :
algebra; continuous systems; discrete systems; geometry; linear systems; nonlinear control systems; observability; algebraic condition; discrete state; geometrical condition; linear hybrid system; nonlinear hybrid system; observability; piecewise-affine hybrid system; switch function reconstruction; Control systems; Design methodology; Linear systems; Observability; Robot vision systems; Sufficient conditions; Switches; System testing;
Conference_Titel :
Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control, 2006 IEEE
Conference_Location :
Munich
Print_ISBN :
0-7803-9797-5
Electronic_ISBN :
0-7803-9797-5
DOI :
10.1109/CACSD-CCA-ISIC.2006.4776670
