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Certainty equivalence-based robust sliding mode control strategy and its application to uncertain PMSG-WECS

Chand, Annas; Khan, Qudrat; Alam, Waqar; Khan, Laiq; Iqbal, Jamshed


Annas Chand

Qudrat Khan

Waqar Alam

Laiq Khan


This work focuses on maximum power extraction via certainty equivalence-based robust sliding mode control protocols for an uncertain Permanent Magnet Synchronous Generator-based Wind Energy Conversion System (PMSG-WECS). The considered system is subjected to both structured and unstructured disturbances, which may occur through the input channel. Initially, the PMSG-WECS system is transformed into a Bronwsky form, i.e., controllable canonical form, which is composed of both internal and visible dynamics. The internal dynamics are proved stable, i.e., the system is in the minimum phase. However, the control of visible dynamics, to track the desired trajectory, is the main concern. To carry out this task, the certainty equivalence-based control strategies, i.e., conventional sliding mode control, terminal sliding mode control and integral sliding mode control are designed. Consequently, a chattering phenomenon is suppressed by the employment of equivalent estimated disturbances, which also enhance the robustness of the proposed control strategies. Eventually, a comprehensive stability analysis of the proposed control techniques is presented. All the theoretical claims are verified via computer simulations, which are performed in MATLAB/Simulink.


Chand, A., Khan, Q., Alam, W., Khan, L., & Iqbal, J. (2023). Certainty equivalence-based robust sliding mode control strategy and its application to uncertain PMSG-WECS. PLoS ONE, 18(2), Article e0281116.

Journal Article Type Article
Acceptance Date Jan 15, 2023
Online Publication Date Feb 27, 2023
Publication Date Feb 27, 2023
Deposit Date Mar 10, 2023
Publicly Available Date Mar 13, 2023
Journal PloS one
Print ISSN 1932-6203
Electronic ISSN 1932-6203
Publisher Public Library of Science
Peer Reviewed Peer Reviewed
Volume 18
Issue 2
Article Number e0281116
Public URL


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Copyright Statement
Copyright: © 2023 Chand et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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