Stability Analysis andH∞Output Tracking Control for Linear Systems with Time-Varying Delays

Abstract

The problem of stability analysis andH∞output tracking control for linear systems with time-varying delays is studied. First, by construction of a newly augmented Lyapunov-Krasovskii functional, a delay-dependent stability criterion for nominal systems with time-varying delays is established in terms of linear matrix inequalities (LMIs). Second, based on theH∞sense, the proposed method is extended to solve the problem of designing anH∞output tracking controller to track the output of a given reference model. Finally, three examples are included to show the validity and effectiveness of the presented delay-dependent stability and theH∞output tracking controller design.