Abstract
This paper investigates the problem of a decoupled disturbance compensator (DDC) based stochastic sliding mode control (SMC) design for discrete linear time-invariant systems. In the developed method, the actual disturbance is estimated using the DDC method to design the control input and stabilize the system. The proposed method allows the disturbance compensation to be modified separately from the control input, since the two inputs of system are completely decoupled. To demonstrate the effectiveness of the DDC based discrete-time stochastic SMC, its performance is compared with that of the existing methods using the simulation results. Finally, experimental results are presented to demonstrate the effectiveness of the proposed method.
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Recommended by Associate Editor Yueying Wang under the direction of Editor Hamid Reza Karimi.
This research was funded by the World Class 300 Project(R&D)(S2563339) of the Ministry of SMEs and Startups (Korea). The first author was also supported by Brain Korea 21 Plus Project funded by National Research Foundation (NRF) of Korea.
Satnesh Singh received his B.Tech degree in the Department of Electrical & Electronics Engineering from Uttar Pradesh Technical University Lucknow, India (2009), and an M.Tech degree in signal processing & control, Electrical Engineering Department from National Institute of Technology Hamirpur, India (2011). Subsequently, he obtained a Ph.D. degree in control & automation from the Department of Electrical Engineering, Indian Institute of Technology (IIT) Delhi, India in 2019. After a brief stint at IIT Delhi as a Postdoctoral fellow from May 2019 to December 2019, he moved to South Korea where he worked as a postdoctoral fellow at Seoul National University from January 2020 to August 2020. Currently, he is working as a research professor at Kyungpook National University, Daegu, Korea. He is the main author of the book Discrete-time stochastic sliding mode control using functional observation (Springer, 2020). He has authored and coauthored more than 20 international publications which include monograph, book chapter, journal articles, and conference papers. His research interests include linear and non-linear systems in sliding mode control, functional observers, time-delay and stochastic system.
Dong-il “Dan” Cho has been a Professor of Electrical and Information Engineering at Seoul National University (SNU) since 1993. He received his B.S. degree from Carnegie Mellon University and his M.S. and Ph.D. degrees from Massachusetts Institute of Technology in 1980, 1984, 1988, respectively. He was an Assistant Professor at Princeton University 1987-1993. He is an elected member of National Academy of Engineering of Korea since 2009. He has authored and coauthored more than 140 international journal articles and more than 140 US and Korean patents. He was the President of ICROS and a BOG Member of IEEE CSS. He is currently the President-Elect of IFAC. He has served on the editorial board of many international journals, including those published by IFAC (Elsevier), IEEE, ASME, MDPI, and IOP. He received the Korean Minister of Communications Award (2006), the ICROS Academic Award (2015), and the Korean Prime Minister’s Award (2018).
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Singh, S., Cho, Di. Decoupled Disturbance Compensator Based Discrete-time Stochastic Sliding Mode Control with Experimental Results. Int. J. Control Autom. Syst. 19, 3688–3697 (2021). https://doi.org/10.1007/s12555-020-0608-1
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DOI: https://doi.org/10.1007/s12555-020-0608-1