Title: Robust adaptive SMC for uncertain singular delayed systems via observer

Authors: Xiaoliang Tang; Zhen Liu

Addresses: School of Automation, Qingdao University, Qingdao, 266071, China; Shandong Key Laboratory of Industrial Control Technology, Qingdao University, Qingdao, 266071, China ' School of Automation, Qingdao University, Qingdao, 266071, China; Shandong Key Laboratory of Industrial Control Technology, Qingdao University, Qingdao, 266071, China

Abstract: This article is focused on state-estimation-based adaptive control design for uncertain singular systems subject to state delay and uncertain nonlinearity by employing sliding mode technique. Firstly, the unmeasured state variables are generated by a particular observer without any inputs, and a new switching surface function of linear type is presented. In view of linear matrix inequality technique, the motion of the closed-loop system on the sliding surface is analysed, and new admissibility criteria are deduced. Then a switching controller with adaptive rules is synthesised to ensure the established sliding surface can be attained in finite moment. Finally, an illustrative example is proposed to demonstrate the feasibility of the theoretical method.

Keywords: singular delayed systems; state-estimation; adaptive sliding mode control; admissibility.

DOI: 10.1504/IJMIC.2022.124726

International Journal of Modelling, Identification and Control, 2022 Vol.40 No.2, pp.105 - 113

Received: 30 Jun 2021
Accepted: 24 Sep 2021

Published online: 08 Aug 2022 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article