Stabilisation of parameterically perturbed input-delay systems with saturating actuator

Abstract

In this article, the problem of delay-dependent robust stabilisation via dynamic output feedback controllers for time-delay saturating actuator systems with norm-bounded parameter uncertainty is addressed. Instead of applying the Lyapunov function, properties of the comparison theorem and the matrix measure with the model transformation technique are employed to investigate the problems. The sufficient condition for robust stabilisation of input-delay systems with saturating actuators subjected to parametric perturbation is also derived. Both results give an estimate of the maximum time delay, which preserves robust stabilisation. Moreover, an algorithm is proposed to synthesise a dynamic feedback controller for guaranteeing the asymptotic stabilisation of the uncertain time-delay saturating systems. Numerical examples are given to indicate significant improvements over some existing results.

Keywords:

• stabilisation
• delay-dependent
• time delay
• saturating actuator