Advances in Fractional Order Systems and Robust Control

Dear Colleagues,

Recently, fractional differential calculus has been applied to the study of dynamic systems. Fractional calculus is a generalization of the classical integration and differentiation operators to non-integer order. Because of the unique characteristics of historical memory, the dynamic process of a real problem can be described more accurately by fractional order systems. Meanwhile, most systems in reality are highly coupled linear or nonlinear systems and there are always dynamic uncertainties in the modeling. These uncertainties reduce the performance of controllers designed based on the accurate mathematical models. Therefore, it is necessary to study the robust control of uncertain linear or nonlinear fractional order systems.

The focus of this Special Issue is on continuing to advance research on topics relating to the theory, design, implementation, and application of fractional order systems and robust control. Topics that are invited for submission include (but are not limited to):

• Stability analysis and robust control of linear fractional order systems;
• Stability analysis and robust control of linear time-varying periodic fractional order systems;
• Stability and robust control of fractional order T-S fuzzy systems；
• Robust control methods for interval uncertain fractional order systems;
• Robust control for uncertain linear fractional order systems with external uncertain perturbations;
• Robust controller design method for nonlinear uncertain fractional order systems;
• Robust control for nonlinear fractional order systems with parametric uncertainties;
• Robust control for uncertain nonlinear fractional order systems with time-varying uncertainties;
• Robust control method for uncertain nonlinear fractional order systems with stochastic perturbations.

Prof. Dr. Feng Liu
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 250 words) can be sent to the Editorial Office for assessment.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Fractal and Fractional is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2700 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.