Observers for rectangular descriptor systems with output nonlinearities: application to secure communications and microc
- PDF / 2,814,639 Bytes
- 11 Pages / 595.276 x 790.866 pts Page_size
- 70 Downloads / 170 Views
Observers for rectangular descriptor systems with output nonlinearities: application to secure communications and microcontroller implementation Lazaros Moysis1 · Aggelos Giakoumis2 · Mahendra Kumar Gupta3 Viet-Thanh Pham5
· Christos Volos1
· Vikas K. Mishra4
·
Received: 7 June 2020 / Revised: 20 September 2020 / Accepted: 5 October 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract This work considers full and reduced-order observer design for rectangular descriptor systems with application to secure communications. The output of the system is assumed to have a nonlinear term coupled with the linear part, a case that is often overlooked in the literature. The observer design is feasible under some algebraic conditions and the feasibility of a linear matrix inequality. The results are showcased through the application of secure communications, for the safe transmission and estimation of an information signal and also an encrypted image. Also, a microcontroller implementation of the master system is performed, which is the first step towards a full realisation of the design. Keywords Chaos synchronization · Observer design · Descriptor systems · Secure communications · Microcontroller implementation · LMI
1 Introduction
B
Lazaros Moysis [email protected] Aggelos Giakoumis [email protected] Mahendra Kumar Gupta [email protected] Christos Volos [email protected] Vikas K. Mishra [email protected] Viet-Thanh Pham [email protected]
1
Laboratory of Nonlinear Systems—Circuits & Complexity, Physics Department, Aristotle University of Thessaloniki, Thessaloniki, Greece
2
Department of Information and Electronic Engineering, International Hellenic University, Thessaloniki, Greece
3
Department of Mathematics, National Institute of Technology Jamshedpur, Jharkhand, India
4
Department ELEC, Vrije Universiteit Brussel (VUB), Brussels, Belgium
5
Faculty of Electrical and Electronic Engineering, Phenikaa Institute for Advanced Study (PIAS), Phenikaa University, Yen Nghia, Ha Dong district, Hanoi 100000, Vietnam
Since the introduction of chaos theory in the 1960s, chaotic systems have become one of the most trending research topics in the dynamical system’s theory and control. Chaotic systems exhibit extreme sensitivity to changes in their initial conditions and parameters. This means that a small change in these key values will lead to a completely different trajectory in the state space. Such a complex behavior has been observed in many physical and artificial systems, in engineering, biology, physics, circuits, economics, robotics and more, see for example [1–4] and the references therein. In addition to the natural occurrence of chaos in complex phenomena, the combination of determinism and sensitivity of chaotic systems makes them attractive for many engineering and control related applications, like secure communications, encryption, robotics and more [1,2,5–8]. This is because chaotic systems provide an efficient way to perform fast numerica
Data Loading...
