Robust output-feedback finite-time regulator of systems with mismatched uncertainties bounded by positive functions

In this study, the authors investigate the problem of finite-time output regulation for a class of mismatched uncertain n-dimensional integrator, in which only the output signal is measurable and the higher derivatives of the matched and mismatched disturbances are bounded by time-varying functions. Based on a finite-time extended state observer, an output feedback controller is constructed. It is shown that even in the presence of mismatched uncertainties, whose high-order derivatives are bounded by positive functions, the output of the system can be regulated to zero in finite time without requiring the knowledge of full-state signals. An application to mass-spring mechanical systems is given to illustrate the effectiveness and attractive properties of the authors' proposed controller.

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