Robust control of a class of chaotic and hyperchaotic driven systems

This paper proposes new conditions which are sufficient for robust control of a class of chaotic and hyperchaotic driven systems. The drive-driven systems are characterized by non-identical uncertain complex dynamics where complexities are mainly introduced by the switching nature of their vector fields. The controller design is achieved using linear matrix inequalities (LMIs) and the so-called S-procedure and then validated using two numerical examples. To illustrate the robustness of the proposed approach, a comparative study is also established with regard to a related approach.