Title :
Relaxed conditions for asymptotic stability of nonlinear SDRE regulators
Author :
Hammett, Kelly D. ; Ridgely, D. Brett
Author_Institution :
Air Force Inst. of Technol., Wright-Patterson AFB, OH, USA
Abstract :
Recently, conditions guaranteeing semiglobal asymptotic stability of control algorithms involving state-dependent Riccati equations (SDREs) have been derived. These conditions include having a globally positive definite state weighting matrix function in the associated suboptimal control problem cost function. In this paper we relax this assumption to positive semidefiniteness, using LaSalle´s principle and the invariant set theory. The results are illustrated by examples
Keywords :
Lyapunov methods; Riccati equations; asymptotic stability; discrete time systems; matrix algebra; nonlinear control systems; observability; set theory; state feedback; suboptimal control; LaSalle principle; Lyapunov function; asymptotic stability; discrete time systems; invariant set theory; nonlinear control systems; observability; positive semidefiniteness; relaxed conditions; state feedback; state weighting matrix function; state-dependent Riccati equations; suboptimal control; Asymptotic stability; Control systems; Cost function; Force control; Nonlinear control systems; Nonlinear equations; Regulators; Riccati equations; Set theory; Space technology;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.652493
