State-estimation-based adaptive sliding mode control for a class of uncertain time-delay systems: a new design

Abstract

In this article, state estimation-based adaptive control problem for a class of uncertain systems subject to time-delay and external disturbance is investigated within sliding mode framework. A simplified state observer without any inputs is designed to reconstruct the unmeasured state variables, from which a novel linear switching surface is provided. By applying a novel adaptive reaching motion controller, the existence and arrival of the defined switching surface are established. It is shown that in the framework of Lyapunov stability theory and linear matrix inequality technique, the proposed control scheme achieves the desirable performance for the closed-loop system. Two illustrative examples are given to substantiate the effectiveness of the proposed method.

Keywords:

• Uncertain time-delay systems
• sliding mode control
• state estimation

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This paper is funded by the Natural Science Foundation of Shandong Province (Grant No. ZR2017MF055, ZR2017QF011), the Shandong Province Higher Educational Science and Technology Program (Grant No. J17KB148), the National Natural Science Foundation of China (Grant No. 61803217), and the Science and Technology Support Plan for Youth Innovation of Universities in Shandong Province (Grant No. 2019KJN033).

Notes on contributors

Ruiping Xu

Ruiping Xu was born in Shandong, China. She received her MS degree in Applied Mathematics from Shandong University of Science and Technology, Qingdao, China, in 2002 and the PhD degree in Control Theory and Applications from Ocean University of China, Qingdao, China, in 2015. Since 2002, she has been working in Qingdao University, where she is an Associate Professor. Her current research interests include sliding mode control, chaotic systems, Markovian jump systems, time-delay systems and control.

Zhen Liu

Zhen Liu was born in Shandong, China. He received his MS degree and PhD degree from Ocean University of China, Qingdao, China, in 2013 and 2017, respectively; and from 2015 to 2017, he was a Joint PhD candidate at the Department of Engineering, Design and Mathematics, University of the West of England, UK, and the College of Engineering, University of Kentucky, USA. Since 2017, he has been working in Qingdao University, where he is an Associate Professor. His current research interests include intelligent control, switched hybrid systems, and nonlinear control.

Yunlong Liu

Yunlong Liu was born in Shandong, China. He received the MS and the PhD degrees from Ocean University of China in 2009 and 2012, respectively. He joined in the College of Information and Control Engineering at Weifang University, since 2021, he has been working in Qufu Normal University, where he is currently an Associate Professor. He has published and authored more than 50 papers on academic journals and conferences. His research interests include variable structure control, intelligent control, and singular systems.