Integral sliding mode control for interconnected descriptor systems based on a reduced-order observer

Rui Gao, Qingling Zhang, Jinghao Li and Ding Zhai

International Journal of Systems Science, 2019, vol. 50, issue 10, 1947-1960

Abstract: In this paper, a reduced-order observer-based integral sliding mode controller is designed for a class of interconnected descriptor systems. First, the observer matching condition is used to transform the interconnected descriptor system into an interconnected normal system. Based on the canonical form, a reduced-order observer is then designed to estimate the state variables of the interconnected descriptor system. In terms of the measurable output variables and the state variables of the proposed reduced-order observer, a sliding mode control scheme is developed to drive the state trajectories of the system to the sliding surface in a finite time and maintain a sliding motion thereafter. It is shown that at the existence of unknown matched disturbances, the proposed observer-based integral sliding mode control scheme can still ensure the asymptotic stability of the resultant closed-loop system. This is an obvious improvement of the existing observer-based sliding mode control methods in descriptor systems fields. Finally, an example is given to verify the effectiveness of the proposed method.

Date: 2019
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DOI: 10.1080/00207721.2019.1645916

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