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
- Euclidean space
- Actuators
- Asymptotic stability
- Delay control systems
- Memoryless control law
- Lyapunov Krasovskii technique
- Closed loop control systems
- Closed loop stability conditions
- Bilinear systems
- Stability criteria
- Riccati equations
- Matrix algebra
- Lyapunov methods
- Differential equations
- Control theory