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

Research

Title
A diffusive representation approach toward H∞ sliding mode control design for fractional-order Markovian jump systems
Type
JournalPaper
Keywords
Fractional-order Markovian jump systems, H∞ sliding mode control, linear matrix inequalities
Year
2021
Journal Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering
DOI
Researchers Majid Parvizian ، Khosro Khandani

Abstract

This article proposes a new H∞ sliding mode control strategy for stabilizing controller design for fractional-order Markovian jump systems. The suggested approach is based on the diffusive representation of fractional-order Markovian jump systems which transforms the fractional-order system into an integer-order one. Using a new Lyapunov–Krasovskii functional, the problem of H∞ sliding mode control of uncertain fractional-order Markovian jump systems with exogenous noise is investigated. We propose a sliding surface and prove its reachability. Moreover, the linear matrix inequality conditions for stochastic stability of the resultant sliding motion with a given H∞ disturbance attenuation level are derived. Eventually, the theoretical results are verified through a simulation example.