An LMI Approach to Robust Exponential Stabilizing Controller Design for a Class of Structured Uncertain Unified Chaotic Systems

Abstract

In this paper, the chaos suppression problem for a class of unified chaotic systems with structured uncertainties is considered. Applying Schur-complement and some matrix manipulation techniques, the controlled uncertain unified chaotic system is then transformed into the linear matrix inequality (LMI) form. Finally, a robust controller is designed to enforce the pre-specified exponential decay dynamics of the uncertain unified chaotic system. Numerical results validate the effectiveness of the proposed robust control scheme.