An Efficient Design Procedure to Implement the Fractional-Order Chaotic Jerk Systems with the Programmable Analog Platform
نویسندگان
چکیده
An effective design procedure has been introduced for implementing the fractional order integrator structures with a modified low pass filters (LPFs) and its functionality is verified by realizing fractional-order chaotic system. In these applications, state variables of Sprott’s Jerk system are emulated first LPFs. Since discrete device based designs have hard adjustment features circuit complexities; realizations LPFs carried out Field Programmable Analog Arrays (FPAAs), sensitively. Hence, LPF method applied to systems systems, which built several nonlinear functions, implemented programmable analog device. this context, minimum fractional-orders calculated considering stability systems. After that, simulated employing Grünwald-Letnikov (G-L) derivative using common fractional-order. Thus, analyses supported numerical simulation results. stage, procedures FPAA implementations dealt in detail. Finally, thanks first-order method, hardware achieved successfully single
منابع مشابه
Fractional order robust adaptive intelligent controller design for fractional-order chaotic systems with unknown input delay, uncertainty and external disturbances
In this paper, a fractional-order robust adaptive intelligent controller (FRAIC) is designed for a class of chaotic fractional order systems with uncertainty, external disturbances and unknown time-varying input time delay. The time delay is considered both constant and time varying. Due to changes in the equilibrium point, adaptive control is used to update the system's momentary information a...
متن کاملFinite Time Mix Synchronization of Delay Fractional-Order Chaotic Systems
Chaos synchronization of coupled fractional order differential equation is receiving increasing attention because of its potential applications in secure communications and control processing. The aim of this paper is synchronization between two identical or different delay fractional-order chaotic systems in finite time. At first, the predictor-corrector method is used to obtain the solutions ...
متن کاملSynchronization of Chaotic Fractional-Order Lu-Lu Systems with Active Sliding Mode Control
Synchronization of chaotic and Lu system has been done using the active sliding mode control strategy. Regarding the synchronization task as a control problem, fractional order mathematics is used to express the system and active sliding mode for synchronization. It has been shown that, not only the performance of the proposed method is satisfying with an acceptable level of control signal, but...
متن کاملA numerical approach for variable-order fractional unified chaotic systems with time-delay
This paper proposes a new computational scheme for approximating variable-order fractional integral operators by means of finite element scheme. This strategy is extended to approximate the solution of a class of variable-order fractional nonlinear systems with time-delay. Numerical simulations are analyzed in the perspective of the mean absolute error and experimental convergence order. To ill...
متن کاملan lmi approach to resilient fractional order observer design for lipschitz fractional order nonlinear systems using continuous frequency distribution
non-fragile observer design is the main problem of this paper. using continuous frequency distribution, the stability conditions based on integer order lyapunov theorem are derived for lipschitz class of nonlinear fractional order systems. the proposed observer is stable beside the existence of both gain perturbation and input disturbance. for the first time, in this paper a systematic method i...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Chaos theory and applications
سال: 2021
ISSN: ['2687-4539']
DOI: https://doi.org/10.51537/chaos.971441