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Khosro Khandani

Khosro Khandani

Academic rank: Associate Professor
ORCID: https://orcid.org/0000000217623541
Education: PhD.
ScopusId: 35753283400
Faculty: Engineering
Address: Arak University
Phone: 086-32625324

Research

Title
Observer-based robust controller design for fractional-order systems with stochastic perturbations: a diffusive representation approach
Type
JournalPaper
Keywords
Stochastic fractional-order systems, sliding mode control, diffusive representation, LMIs
Year
2022
Journal Transactions of the Institute of Measurement and Control
DOI
Researchers Majid Parvizian ، Khosro Khandani

Abstract

We investigate the fractional-order systems which are perturbed by stochastic input to achieve stabilization via sliding mode control (SMC) approach. It is assumed that the system states are unknown and there is uncertainty and time-delay in the system. We utilize the diffusive representation of the stochastic fractional-order dynamics to transform the system into an integer-order system perturbed by Brownian motion. Provided that some linear matrix inequalities (LMIs) are feasible, it is proven that the estimation error system is stochastically stabilized and the overall closed-loop system is stable in probability. A numerical simulation shows the effectiveness of the results.