Title: A new form of a class of MIMO linear systems for a non-singular terminal sliding mode control

Authors: Ning Zhao; Shouli Gao; Yuankai Song; Dongya Zhao

Addresses: College of New Energy, China University of Petroleum, Qingdao, 266580, China ' College of New Energy, China University of Petroleum, Qingdao, 266580, China ' College of New Energy, China University of Petroleum, Qingdao, 266580, China ' College of New Energy, China University of Petroleum, Qingdao, 266580, China

Abstract: In this study, a novel method is proposed for a class of MIMO linear systems non-singular terminal sliding mode control to solve singularity problem. A state transformation matrix is designed properly to transfer a class of MIMO linear systems into a new form without changing its controllability and observability, the design method and application conditions are given. Based on it, the traditional non-singular method of second-order nonlinear systems can be used in the new form of MIMO linear systems by adjusting the dimension of coefficients appropriately. Then an example is given to validate the effectiveness of the proposed form. Stability analysis and numerical simulations show that the proposed method can guarantee system states to converge to equilibrium point with strong robustness in finite time, and the singularity problem can also be avoided appropriately.

Keywords: terminal sliding mode; TSM; non-singular; MIMO linear system; state transformation matrix.

DOI: 10.1504/IJAAC.2022.122606

International Journal of Automation and Control, 2022 Vol.16 No.3/4, pp.350 - 370

Received: 22 Jul 2020
Accepted: 31 Oct 2020
Published online: 04 May 2022 *

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