2024 : 4 : 21
Amirhossein Abolmasoumi

Amirhossein Abolmasoumi

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0001-9739-1340
Education: PhD.
ScopusId: 26664422200
Faculty: Engineering
Address: Arak University


Robust Integral Sliding Mode Control for Markovian Jump Systems: A Singular System Approach
Markovian Jump Systems (MJSs), Integral Sliding Mode Control, Singular System Approach, Linear Matrix Inequalities (LMIs)
Researchers Nasibeh Zohrabi ، Amirhossein Abolmasoumi ، Hamid Reza Momeni ، Sherif Abdelvahed


In this paper, an integral-type sliding mode controller is designed for continuous-time Markovian jump systems based on a singular system approach. The system’s dynamical equations include an unknown function denoting the nonlinear uncertainty. The regularity, non-impulsiveness and stochastic stability of the resulting Markovian jump singular system are guaranteed by a new sufficient conditions in terms of strict linear matrix inequalities (LMIs). As a result, stochastic admissibility for sliding mode dynamics is assured. Then, a sliding mode control law is designed such that the closed-loop system’s trajectories converge to predefined sliding surfaces in a finite time and remain there for all subsequent times. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.