High-Order Polynomial Observer Design for Robust Adaptive Synchronization of Uncertain Fractional-Order Chaotic Systems
- PDF / 1,246,400 Bytes
- 13 Pages / 595.276 x 790.866 pts Page_size
- 20 Downloads / 214 Views
High-Order Polynomial Observer Design for Robust Adaptive Synchronization of Uncertain Fractional-Order Chaotic Systems Kammogne Soup Tewa Alain1 Received: 29 August 2019 / Revised: 11 May 2020 / Accepted: 14 May 2020 © Brazilian Society for Automatics--SBA 2020
Abstract Our focus in this paper is to present a new procedure of designing a high-order robust observer for chaos synchronization of a general class of uncertain nonlinear system with fractional-order derivative, using an adaptive strategy together with some parameter adjusting mechanisms. Some less stringent conditions for the exponential and asymptotic stability of adaptive robust control systems with fractional order are derived. A criterion for robust stability of an error system is obtained using the master–slave synchronization concept together with the Lyapunov stability theory associated with some algebraic manipulations. The high polynomial observer which can guarantee the robust stability of the closed loop system also rejects the effect of perturbations on the system dynamics within a prescribed level. The findings of this research are illustrated using computer simulations for the control problem of fractional Genesio–Tesi system. The proposed approach offers a systematic design procedure of a robust polynomial observer for the chaos synchronization of a large class of nonlinear systems. Keywords Chaos synchronization · Lyapunov theory · High-order polynomial observer · Time-varying perturbations
1 Introduction Robust fractional synchronization of chaotic systems remains a current challenge in control theory (Meghni et al. 2017; Junhai and Heng 2015). The concept of master–slave synchronization enables coherent behaviors in coupled dynamical systems (Wang et al. 2017). Since Pecora and Carroll (1990) had proposed a method to synchronize two identical chaotic integer-order systems with differential initial conditions, the one with fractional order attracted much attention from various fields during the last decades and many deep theories as well as methodologies have been developed according to the references (Tavazoei and Haeri 2008) and the references therein. Researches on the coupled nonlinear oscillators with fractional order constitute an excellent framework for understanding the various collective dynamics complexes that spontaneously emerge in real-life systems (Hartley et al. 1995; Ngo et al. 2020). Synchronizationbased fractional-order chaotic systems in the master–slave configuration have many applications in technology such as
B 1
Kammogne Soup Tewa Alain [email protected] LAMACETS, Faculty of Sciences, University of Dschang, Dschang, Cameroon
in secured telecommunication (Delavari and Mohadeszadeh 2016; Kammogne et al. 2020; Juan and Martinez-Guerra 2017). Specifically, motivated by the vulnerability to attacks of certain architectures, the use of chaotic systems for data scrambling has thoroughly been investigated. It is well known that some researches today are most oriented to neural network synchronization (Chen et al. 2
Data Loading...
