A Discrete-Time Integral Sliding Mode Control Law for Systems With Matched and Unmatched Disturbances


Rubagotti M. Incremona G.P. Ferrara A.
2024Institute of Electrical and Electronics Engineers Inc.

IEEE Control Systems Letters
2024#8448 - 453 pp.

This letter proposes a discrete-time integral sliding mode (DT-ISM) control strategy for linear time-invariant systems subject to matched and unmatched disturbances. The DT-ISM strategy is defined based on a discrete-time model of the system obtained from its continuous-time counterpart, providing numerical procedures to determine the sets in which the disturbances are contained, starting from the corresponding sets in the continuous-time domain. The DT-ISM law is based on disturbance estimation to ideally steer the sliding variable to zero in one discrete step, and achieves a quasi-DT-ISM in the presence of bounded estimation errors. The effectiveness of the proposed control law is tested in simulation combined with a robust model predictive control law.

discrete-time systems , Integral sliding mode control , linear systems , uncertain systems

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Nazarbayev University, School of Engineering and Digital Sciences, Department of Robotics and Mechatronics, Astana, 010000, Kazakhstan
Politecnico di Milano, Dipartimento di Elettronica, Informazione e Bioingegneria, Milan, 20133, Italy
University of Pavia, Dipartimento di Ingegneria Industriale e dellInformazione, Pavia, 27100, Italy

Nazarbayev University
Politecnico di Milano
University of Pavia

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