Robust Stabilization and Disturbance Rejection of Positive Systems with Time-Varying Delays and Actuator Saturation

Abstract EN

This paper focuses on the problems of robust stabilization and disturbance rejection for a class of positive systems with time-varying delays and actuator saturation.

First, a convex hull representation is used to describe the saturation characteristics.

By constructing an appropriate copositive type Lyapunov functional, we give sufficient conditions for the existence of a state feedback controller such that the closed-loop system is positive and asymptotically stable at the origin of the state space with a domain of attraction.

Then, the disturbance rejection performance analysis in the presence of actuator saturation is developed via L 1 -gain.

The design method is also extended to investigate the problem of L 1 -gain analysis for uncertain positive systems with time-varying delays and actuator saturation.

Finally, three examples are provided to demonstrate the effectiveness of the proposed method.