Decentralized static output feedback sliding mode control for interconnected descriptor systems via linear sliding variable

Abstract This paper investigates a linear sliding variable-based decentralized static output feedback sliding mode controller design problem of interconnected descriptor systems. A generalized regular form for interconnected descriptor systems is introduced. Based on the generalized regular form, a linear matrix inequality-based method is given to solve the designing matrix in the linear sliding variable and a decentralized static output feedback sliding mode controller is synthesized to stabilize the interconnected descriptor systems. It is shown that the proposed static output feedback sliding mode control method can still stabilize the interconnected descriptor systems even when unknown matched disturbances exist. Finally, a simulation result on the hypersonic vehicle system is given to illustrate the validity of the proposed method.

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