Abstract
We investigate the chaotic oscillations in a fractional order model of a portal frame with nonideal loading. The bifurcation of the fractional order portal frame system for parameters and fractional orders are investigated. Bicoherence analysis shows the existence of quadratic nonlinearities. Fractional order adaptive sliding mode controllers are designed to suppress the chaotic oscillations with uncertain parameters. Power efficiency analysis of the FPGA implemented control scheme shows the maximum power utilization in the fractional order showing the largest Lyapunov exponent.
Highlights
Many recent researches have been dealing with the study of nonideal vibration systems when the excitation has an influence from the system response
For real-time implementation of the proposed control scheme, the Fractional Order Adaptive Sliding Mode Control (FOASMC) controller can be implemented in Field Programmable Gate Arrays (FPGA) and the output voltages from the respective control pins can be configured with an active magnetorheological damper
In this paper we investigated the chaotic oscillations of a fractional order portal frame
Summary
Many recent researches have been dealing with the study of nonideal vibration systems when the excitation has an influence from the system response. Nonlinear oscillations of a portal frame excited by a nonideal motor with limited power output are considered and, with slow increase of power levels, the possibilities of occurrence of Sommerfeld effect are investigated [8]. Dynamical behavior of an elastic nonideal portal frame with fractional nonlinearities taken into account the full interactions of the vibration systems with an energy source of limited supply is investigated [9]. A nonlinear control method based on the saturation phenomenon of systems coupled with quadratic nonlinearities in a shear building portal frame is studied [10]. In this paper we investigate the fractional order model of a portal frame (FOPF) under a nonideal excitation. An adaptive sliding mode controller is designed to suppress chaotic oscillations and the proposed controller is implemented in FPGA for real-time implementation
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
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 call
