Integral sliding mode control for robust stabilisation of uncertain stochastic time-delay systems driven by fractional Brownian motion

K Khandani, VJ Majd, M Tahmasebi - International Journal of …, 2017 - Taylor & Francis
In this paper, the stability and controller design for fractional stochastic systems, ie stochastic
systems driven by fractional Brownian motion (fBm) are investigated. A fractional …

Mean square exponential stabilization of uncertain time‐delay stochastic systems with fractional Brownian motion

M Parvizian, K Khandani - International Journal of Robust and …, 2021 - Wiley Online Library
This article is concerned with exponential mean square stabilization of stochastic systems
driven by fractional Brownian motion subject to state‐delay and uncertainties by sliding …

Robust H∞ sliding mode control scheme for uncertain fractional stochastic systems: Nonlinear analysis and design

M Parvizian, K Khandani - Asian Journal of Control, 2023 - Wiley Online Library
This paper investigates the H∞ sliding mode control (SMC) design for fractional stochastic
systems. We study a very general category of stochastic systems that are nonlinear and …

[PDF][PDF] Observer-based SMC for stochastic systems with disturbance driven by fractional Brownian motion.

X Meng, C Gao, B Jiang, HR Karimi - Discrete & Continuous …, 2022 - researchgate.net
This paper investigates the problem of disturbance-observer-based sliding mode control for
stabilization of stochastic systems driven by fractional Brownian motion (fBm). By proposing …

Fractional terminal sliding mode control design for a class of dynamical systems with uncertainty

S Dadras, HR Momeni - … in Nonlinear Science and Numerical Simulation, 2012 - Elsevier
A novel type of control strategy combining the fractional calculus with terminal sliding mode
control called fractional terminal sliding mode control is introduced for a class of dynamical …

Robust stabilization of uncertain time-delay systems with fractional stochastic noise using the novel fractional stochastic sliding approach and its application to stream …

K Khandani, VJ Majd… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
In this paper, stochastic systems with fractional Gaussian noise (fGn) are stochastically
stabilized using a new robust sliding mode control scheme. The system is assumed to have …

A non-fragile robust observer design for uncertain time-delay fractional Itô stochastic systems with input nonlinearity: An SMC approach

K Khandani, M Parvizian… - Proceedings of the …, 2022 - journals.sagepub.com
This article considers the problem of non-fragile observer design for uncertain fractional Itô
stochastic systems. The design is based on a sliding surface whose reachability in finite time …

A Lyapunov-based control scheme for robust stabilization of fractional chaotic systems

MP Aghababa - Nonlinear Dynamics, 2014 - Springer
This paper concerns the problem of robust stabilization of autonomous and non-
autonomous fractional-order chaotic systems with uncertain parameters and external noises …

Finite time stability and sliding mode control for uncertain variable fractional order nonlinear systems

J Jiang, H Li, K Zhao, D Cao, JLG Guirao - Advances in Difference …, 2021 - Springer
This paper deals with the finite time stability and control for a class of uncertain variable
fractional order nonlinear systems. The variable fractional Lyapunov direct method is …

Observer-based control for nonlinear neutral type stochastic model with fractional Gaussian noise and input saturation

S Sweetha, V Panneerselvam, N Tatar… - Chaos, Solitons & …, 2023 - Elsevier
This paper discusses the stabilization issue for a class of nonlinear neutral-type stochastic
systems subject to time-varying delays, linear fractional uncertainties, actuator faults, input …