Stability criteria for bilinear systems with delayed state and saturating actuators
Résumé
In this paper, the problem of the closed-loop stability of a class of bilinear systems with delayed state and saturating actuators is considered. Delay-independent sufficient conditions for the uniform asymptotic stability of the closed-loop system via a memoryless static state feedback are developed. The closed-loop stability conditions and the corresponding memoryless control laws are expressed in terms of symmetric positive definite solutions of appropriate finite dimensional algebraic Riccati equations.
Mots clés
Actuators
Asymptotic stability
Closed loop control systems
Control theory
Differential equations
Lyapunov methods
Matrix algebra
Riccati equations
Stability criteria
Bilinear systems
Closed loop stability conditions
Euclidean space
Lyapunov Krasovskii technique
Memoryless control law
Delay control systems