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Ton Duc Thang University (TDTU) is a public university with the main campus located in vibrant Ho Chi Minh City, Vietnam’s economic and educational hub. Founded in 1997, TDTU has developed into one of the largest and fastest growing universities in Vietnam with more than 22,000 students, enrolled in undergraduate and graduate programs ranging from science, engineering to business management, law, and humanities. To foster the country’s human resources and best serve the nation in the knowledge based economy of the 21st century, TDTU is combining vocational training with high-level research. The establishment of JAEC is one of TDTU’s efforts in this direction. More

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  • Vol 6, No 2 (2022)
  • Nguyen

Single Phase Second Order Sliding Mode Controller for Mismatched Uncertain Systems with Extended Disturbances and Unknown Time-Varying Delays

Trang Cong Nguyen, Chiem Trong Hien, Duc Van Phan

Abstract


In this paper, a novel single phase second order sliding mode controller (SPSOSMC) is proposed for the mismatched uncertain systems with extended disturbances and unknown time-varying delays. The main achievements of this study consist of three tasks: 1) a reaching phase in conventional sliding mode control (CSMC) technique is removed to ensure the global stability of the system; 2) an influence of the undesired high-frequency oscillation phenomenon in control input is vanished; 3) an exogenous perturbation is generally extended to the k-order disturbance of state variable. Firstly, a single phase switching manifold function is defined to eliminate the reaching phase in CSMC. Secondly, an unmeasurable state variable is estimated by using the proposed reduced-order sliding mode observer (ROSMO) tool. Next, a SPSOSMC is built based on the help of ROSMO tool and output information only. Then, a sufficient condition is established by employing the linear matrix inequality (LMI) technique and Lyapunov function theory such that the resulting sliding mode dynamics is asymptotically stable. Finally, a numerical example is simulated via the well-known MATLAB software to validate the effectiveness of the proposed technique.

Creative Commons License

This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium provided the original work is properly cited.

 



Keywords


Second order sliding mode control, chattering removal, exogenous disturbance, without reaching phase.

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DOI: http://dx.doi.org/10.55579/jaec.202262.353

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Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.