Abstract
Due to the existence of time-varying chaotic disturbances in complex applications, the chaotic synchronization of sensor systems becomes a tough issue in industry electronics fields. To accelerate the synchronization process of chaotic sensor systems, this paper proposes a super-exponential-zeroing neurodynamic (SEZN) approach and its associated controller. Unlike the conventional zeroing neurodynamic (CZN) approach with exponential convergence property, the controller designed by the proposed SEZN approach inherently possesses the advantage of super-exponential convergence property, which makes the synchronization process faster and more accurate. Theoretical analyses on the stability and convergence advantages in terms of both faster convergence speed and lower error bound within the task duration are rigorously presented. Moreover, three synchronization examples substantiate the validity of the SEZN approach and the related controller for synchronization of chaotic sensor systems. Comparisons with other approaches such as the CZN approach, show the convergence superiority of the proposed SEZN approach. Finally, extensive tests further investigate the impact on convergence performance by choosing different values of design parameter and initial state.
Highlights
In 1963, Edward Lorenz [1] started to introduce and report the research on chaotic attractor.Since this inspiring work, extensive research on the chaos handle and synchronization of sensors has been investigated and developed for industrial electronics [2,3,4,5,6]
Being superior to the above-mentioned works on the basis of the conventional zeroing neurodynamic (CZN) approach, this paper introduces and develops a novel super-exponential-zeroing neurodynamic (SEZN) approach and its associated controller
To the best of the authors’ knowledge, the SEZN approach as well as its associated controller with the outstanding super-exponential convergence property for the chaotic synchronization of sensor systems have not been investigated in the existing research
Summary
In 1963, Edward Lorenz [1] started to introduce and report the research on chaotic attractor. By utilizing the information of the time derivative, extensive works for different real-time engineering problems as well as control and synchronization of chaotic sensor systems were developed by leveraging the CZN approach. To the best of the authors’ knowledge, the SEZN approach as well as its associated controller with the outstanding super-exponential convergence property for the chaotic synchronization of sensor systems have not been investigated in the existing research. The controller designed by the proposed SEZN approach distinctively and inherently possesses the advantage of super-exponential convergence, which makes the synchronization process faster and more accurate It is a breakthrough in the convergence research of the neurodynamic approach and real-time chaotic synchronization of sensor systems. Simulation studies including three synchronization examples, comparisons with other methods as well as extensive tests all verify the effectiveness as well as superiority of the SEZN approach and the related controller in practice
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
