Dissipative control of time-delay chaotic systems via DOBC approach

This paper is concerned with dissipative control of time-delay chaotic systems with unknown external disturbance. The disturbance is supposed to be generated by an exogenous system with time-delay. By integrating disturbance observer with conventional controller, sufficient conditions in terms of linear matrix inequalities are derived under which the resulting closed-loop system with time-delay is dissipative and asymptotically stable, which guarantees the disturbance rejection. And time-delay Chua´s circuit is used to illustrate the effectiveness of the developed theoretical results.