Chaos-Based Controlled System Using Discrete Map

Abstract

Background: The design of efficient and fast controller for controlling the process parameter is always a challenging work to the control system designer. The main objective of this article is to design a secure chaos based controller by synchronizing two chaotic systems. The initial values of the chaotic systems are considered as the set value and initial process value of the physical parameter to be controlled. Methods: The proposed design of the controlled is done by synchronizing two-dimensional chaotic Henon map through nonlinear control method. One map is taken as a driver system and its initial value is considered as the set value of a specific process of a given system. On the other hand, another identical map is taken as the driven system and its initial value is the initial process value of the given process control system. Both the chaotic map become synchronized via nonlinear control law. The accumulation of error until synchronization is achieved which is converted into a suitable signal to operate the final control element to enhance or decrease the initial process value towards the set value. This self-repetitive process will achieve the control of the process parameter. Results: In experiment we have observer that the error signal becomes zero after a small time interval (in simulation it takes only few iteration) and the accumulated error remain fixed in a steady value. This error is responsible to maintain the process value to the set value. The entire process has been implemented in hardware environment by using microcontroller ATMEGA 16 and also in the Proteus simulation software. Conclusion: The controller is very fast because the algorithm of nonlinear control law for synchronization is very fast. Since the controller is designed in chaotic regime so it is secure.