2024 : 4 : 17
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


Integral sliding mode control for robust stabilisation of uncertain stochastic time-delay systems driven by fractional Brownian motion
Robust integral sliding mode control; fractional Brownian motion; linear matrix inequalities; fractional infinitesimal operator; Lyapunov-based stability
Journal International Journal of Systems Science
Researchers Khosro Khandani ، vahid Johari Majd ، Mahdieh Tahmasebi


In this paper, the stability and controller design for fractional stochastic systems, i.e. stochastic systems driven by fractional Brownian motion (fBm) are investigated. A fractional infinitesimal operator is proposed for stability analysis of this class of stochastic systems and a Lyapunov-based stability criterion is established. Thereafter, the presented stability criterion is utilised to develop the sliding mode control scheme for fractional stochastic systems with state delay and time-varying uncertainties. By applying the proposed fractional infinitesimal operator, the sufficient robust stability conditions are derived in the form of linear matrix inequalities. The proposed method guarantees the reachability of the sliding surface in finite time, and the closed-loop system will be stable in probability for all Hurst indices of the fBm in the range (1/2 , 1). Finally, some simulation examples are given to illustrate the effectiveness of the proposed design method