LMI-Based Delay-Dependent Robust Control for Value Bounded Uncertain Systems with Time Delay

摘要

The present paper investigated the delay-dependent robust control for linear value bounded uncertain systems with state delay. By introducing the idea of matrix decomposition into the synthesis problem, incorporating with Lyapunov-Krasovskii functional method and adding "zeros" matrix through the correla-tion of each item in Newton-Leibniz formula, we present a suffi-cient condition via the feedback stabilization based on linear ma-trix inequality (LMI). LMI is a new delay dependent condition that is much less conservative, and it guarantees that the system is robust asymptotically stable via state feedback controller. Neither the model transformation nor the bounding cross terms is em-ployed. Finally, a numerical example is presented and it demon-strates the effectiveness of the offered method.