Delay-dependent stabilization for linear time-delay uncertain systems with saturating actuators

Abstract

This paper discusses the problems of the delay-dependent robust stability and stabilization for a class of linear time-delay uncertain systems with saturating actuators. Some new delay-dependent stability criteria are derived by taking the relationships between the terms in the Leibniz–Newton formula into account. The stability conditions are formulated as linear matrix inequalities that can be easily solved by various convex optimization algorithms or computing software. Moreover, the stability criteria are extended to the design of a stabilizing state feedback controller. Numerical examples demonstrate that these criteria are effective and are an improvement on previous ones.

Keywords:

• Leibniz–Newton formula
• linear matrix inequality
• time delay
• delay dependence
• optimization algorithm