摘要
In this paper, the global adaptive stabilization is investigated for a class of uncertain stochastic high-order nonlinear systems in which there exist serious nonlinearities and unknowns. For details, on one hand, the considered systems allow the higher system nonlinearities(i.e. the power of the function) and include the strict-feedback systems as its special case. On the other hand, the unknown parameterized system nonlinear terms and the unknown control direction(i.e. the sign of the control gain) are both considered in the control design, without a doubt, those unknowns make the system appreciably general and practical. By skillfully combining the adaptive design method and Nussbaum function based design technique, a feasible adaptive stabilizing control scheme is successfully presented, by which the obtained controller can effectively guarantee that all the closed-loop system states are bounded almost surely, and especially the original system states converge to the origin with probability one.
In this paper, the global adaptive stabilization is investigated for a class of uncertain stochastic high-order nonlinear systems in which there exist serious nonlinearities and unknowns. For details, on one hand, the considered systems allow the higher system nonlinearities(i.e. the power of the function) and include the strict-feedback systems as its special case. On the other hand, the unknown parameterized system nonlinear terms and the unknown control direction(i.e. the sign of the control gain) are both considered in the control design, without a doubt, those unknowns make the system appreciably general and practical. By skillfully combining the adaptive design method and Nussbaum function based design technique, a feasible adaptive stabilizing control scheme is successfully presented, by which the obtained controller can effectively guarantee that all the closed-loop system states are bounded almost surely, and especially the original system states converge to the origin with probability one.
引文
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