In this paper, a novel problem of observer-based adaptive fuzzy fractional control for fractional order dynamic systems with commensurate orders is investigated; the control scheme is constructed by using the backstepping and adaptive technique. Dynamic surface control method is used to avoid the problem of “explosion of complexity” which is caused by backstepping design process. Fuzzy logic sy...

  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...

In this paper, considering the contact transmission between heavy smokers and potential smokers, we propose a novel fractional smoking model. Moreover, introduce two intervention measures, i.e., media campaign adjuvant drug treatment, to model in order control spread of smoking. For controlled model, some important properties are discussed. Then, an optimal problem involving system. The existen...

Fractional delay filters are those that are designed to delay the input signals by a fractional amount of the sampling time. They are widely used in digital communications, speech processing, digital modeling of musical instruments, etc. Since the delay is fractional, the intersample behavior of input signals become crucial. While the conventional design bases itself on the full band-limiting a...

This paper presents a general formulation and numerical scheme for Fractional Optimal Control Problem (FOCP) of a distributed system in cylindrical coordinate and uses a hollow cylinder with axial symmetry as the example to demonstrate the method. The fractional derivatives are expressed in the Caputo-Sense. The performance index of FOCP is considered as a function of both the state and the con...