Stability analysis of uncertain time-delay systems with saturating actuator

The stabilization problem of uncertain time-delay systems with a saturating actuator is considered. These uncertainties may be linear or nonlinear, but only the upper bounds are known. The properties of norm and comparison theorem are employed to investigate the robust stability condition which assure asymptotic stability rather than ultimate boundedness of trajectories. Moreover, an algorithm is proposed to synthesize a dynamic feedback controller for guaranteeing the asymptotic stability of the uncertain time delay saturating systems. The sufficient condition for robust stability of input delay constrained systems subjected to parametric perturbations is also derived. The result obtained eliminates the need to solve the Riccati equation. The stability criterion is delay-dependent and less conservation than the delay-independent criteria and delay-dependent criterion when delays are small. Finally, simulation examples are given to demonstrate the application of the authors' results.