ON L∞-INDUCED STABILIZATION OF POSITIVE LINEAR SYSTEMS WITH DISTRIBUTED DELAYS

DOI: 10.18173/2354-1059.2021-0024

Tóm tắt

The problem of L∞-gain control is studied for positive linear systems with distributed time delays. By a novel comparison technique involving the monotonicity of the so-called upper scaled systems with peak values of exogenous disturbances, a characterization of L∞-induced norm is first reformulated. Then, necessary and sufficient LP-based conditions subject to L∞-induced performance with prescribed level are derived and utilized to address the design problem of state-feedback controllers that make the closed-loop systems positive, stable and have prescribed L∞-gain performance level. A numerical example is given to illustrate the effectiveness of the proposed method.