Fractional-order autonomous circuits with order larger than one

Chaos in fractional-order autonomous nonlinear systems

We numerically investigate chaotic behavior in autonomous nonlinear models of fractional order. Linear transfer function approximations of the fractional integrator block are calculated for a set of fractional orders in ð0; 1 , based on frequency domain arguments, and the resulting equivalent models are studied. Two chaotic models are considered in this study; an electronic chaotic oscillator, ...

Analog Realization of Fractional Order Circuits

One Adaptive Synchronization Approach for Fractional-Order Chaotic System with Fractional-Order 1 < q < 2

Based on a new stability result of equilibrium point in nonlinear fractional-order systems for fractional-order lying in 1 < q < 2, one adaptive synchronization approach is established. The adaptive synchronization for the fractional-order Lorenz chaotic system with fractional-order 1 < q < 2 is considered. Numerical simulations show the validity and feasibility of the proposed scheme.

Lateral Control for Autonomous Parking System with Fractional Order Controller

Lateral control in autonomous parking system, which is always at low speed, simultaneously requiring very small following error, is a difficult problem to resolve. To address this problem, this paper introduces the Fractional order PI D λ μ controller. What’s more, to address the parameters tuning problem in design of the controller, an improved genetic algorithm is adopted. With the proposed m...

Robust stabilization of a class of three-dimensional uncertain fractional-order non-autonomous systems

  This paper concerns the problem of robust stabilization of uncertain fractional-order non-autonomous systems. In this regard, a single input active control approach is proposed for control and stabilization of three-dimensional uncertain fractional-order systems. The robust controller is designed on the basis of fractional Lyapunov stability theory. Furthermore, the effects of model uncertai...