Title :
Existence and boundedness of solutions of nonlinear non symmetric Riccati equations and their application in robust control Hatem Elloumi
Author :
Elloumi, H. ; Bordier, M. ; Maizi, Nadia
Author_Institution :
Ecole des Mines de Paris, Paris
Abstract :
This paper deals with nonlinear non symmetric Riccati equations which integrate a negative linear term involving a scalar gain. This type of equations is recurrent when dealing with computed torque schemes and may be used for other applications in control theory. We show that if the gain is beyond a given threshold (depending on the matrices involved in the system) then there exists a bounded solution over the whole positive times.
Keywords :
Riccati equations; nonlinear equations; robust control; computed torque schemes; negative linear term; nonlinear nonsymmetric Riccati equations; robust control; scalar gain; Control theory; Differential equations; Eigenvalues and eigenfunctions; Linear matrix inequalities; Nonlinear equations; Riccati equations; Robust control; Symmetric matrices; Torque; USA Councils;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434435
