Nonlinear integral-type sliding surface for both matched and unmatched uncertain systems

By Wen-jun Cao, Jian-xin Xu. Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148), 2001

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Sliding-Mode Control for Systems With Mismatched Uncertainties via a Disturbance Observer (2013, unknown): “Compared with the first category SMC for mismatched uncertainties, the I-SMC method is more practical due to its simplicity and robustness and has been reported to be applied to various systems [7], [27]–[29].”
Fractional order sliding mode control via disturbance observer for a class of fractional order systems with mismatched disturbance, (2018, methodology): “It is reported that the I-SMC method is applied to various systems [17,18].”
LMI-Based Sliding Surface Design for Integral Sliding Mode Control of Mismatched Uncertain Systems (2007, background): “At this point, we remark that the traditional sliding surface design methods of [1]–[3] and all the integral SMC methods given in [10]–[12] require the restrictive matching assumption of rank([B; A(t); B(t)]) = rank(B) or rank([B; B(t)]) = rank(B), thus none of them are directly applicable to the un”