Chaos-based controlled system using discrete map

被引:0
作者
Das A.K. [1 ]
Mandal M.K. [2 ]
机构
[1] Department of Electronics and Instrumentation, Dr.B.C.Roy Engineering College, MAKAUT, Durgapur
[2] Department of Physics, National Institute of Technology Durgapur, Durgapur
关键词
Chaos; Control; Microcontroller; Nonlinear law; Security; Synchronization;
D O I
10.2174/2213275912666190819104221
中图分类号
学科分类号
摘要
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 arti-cle 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, an-other 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 inter-val (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. © 2020 Bentham Science Publishers.
引用
收藏
页码:1221 / 1227
页数:6
相关论文
共 14 条
  • [1] Strogatz S. H., Nonlinear dynamics and chaos, (1994)
  • [2] Pikovsky A., Rosenblum M., Kurths J., Synchronization, (2001)
  • [3] Grosu I., Padmanaban E., Roy P. K., Dana S. K., Designing coupling for synchronization and amplification of chaos, Phys. Rev. Lett, 100, (2008)
  • [4] Pal P., Debroy S., Mandal M.K., Banerjee R., Design of coupling for synchronization in chaotic maps, Nonlinear Dyn, 79, pp. 2279-2286, (2015)
  • [5] Nandi S., Migeon V., Singh T., Singla P., Polynomial chaos-based controller design for uncertain linear systems with state and control constraint, J. Dyn. Syst. Meas. Cont, 140, (2018)
  • [6] Vincent T. L., Control using chaos, IEEE Control Syst. Mag, 17, pp. 65-76, (1997)
  • [7] Singh T., Vadali S. R., Robust time delay control, ASME J. Dyn. Syst. Meas. Cont, 62, pp. 1319-1339, (1993)
  • [8] Singh T., Minimax design of robust controllers for flexible struc-tures, J. Guid. Cont. Dyn, 25, pp. 868-875, (2002)
  • [9] Liu Q., Wie B., Robust time-optimal control of uncertain flexible spacecraft, J. Guid. Cont. Dyn, 15, pp. 597-604, (1992)
  • [10] Liu S., Garimella P., Yao B., Adaptive robust precision motion control of a flexible system with unmatched model uncertainties, American Control Conference, pp. 70-75, (2005)