Global regulation for a class of stochastic high-order nonlinear systems with multiple unknown control directions

Abstract

ABSTRACTThis paper concerns the global regulation for a class of stochastic high-order nonlinear systems which admit more general system form than the existing works. For details, except for the serious system nonlinearities which show that the considered systems are the generalisations of the strict-feedback systems, the most distinct feature of the systems is exhibited by the multiple unknown control directions, that is, all control coefficients of the virtual and actual control have unknown signs. By skillfully employing the Nussbaum function, and applying the method of adding a power integrator, an effective regulation control scheme is successfully provided for the considered systems. In particular, the presented controller can guarantee that all the closed-loop system states are bounded, and especially the original system states converge to the origin, both in the sense of probability one.