Stability Analysis and Controller Design of Positive Linear Systems Subject to Actuator Saturation

摘要

This paper addresses the stability and stabilization problems for a class of positive linear systems in the presence of saturating actuators.The objective is to give conditions of the stability,and design state feedback control laws such that the closed-loop systems is asymptotically stable and positive at the origin with a large domain of attraction.Several sufficient conditions for stabilization and positivity are derived via the Lyapunov functions method and convex analysis in both the continuous-time and the discrete-time cases,respectively.The state feedback controller design and the estimation of domain of attraction are presented by solving a convex optimization problem with LMIs constraints.A numerical example is given to show the effectiveness of the proposed methods.