A new form of a class of MIMO linear systems for a non-singular terminal sliding mode control
by Ning Zhao; Shouli Gao; Yuankai Song; Dongya Zhao
International Journal of Automation and Control (IJAAC), Vol. 16, No. 3/4, 2022

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.

Online publication date: Wed, 04-May-2022

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