Passive control of n-dimensional chaotic complex nonlinear systems

In this paper we investigate the control of n-dimensional chaotic complex nonlinear systems by using passive control theory. These complex systems have been introduced and studied recently in our investigations. Based on the property of the passive system, an approach is stated to design the passive controller and realize the control of these systems. As an example, we apply this approach to convert the chaotic attractors of the complex Lu system into the trivial, nontrivial equilibrium points, periodic (limit cycle) and quasi-periodic solutions. This example appears in several fields of physics and engineering, e. g. nonlinear electronic circuits and communications. A block diagram of this example using Matlab/Simulink is constructed. The analytical results of the controllers which have been calculated by using this approach are tested numerically and good agreement is obtained.