Some results on adaptive nonlinear stabilization
LUO Man
GUO Lei
Abstract：Feedback control of uncertain nonlinear dynamical systems has been a central issue in control theory, and considerable progress has been made up to now. However, most of the existing works concern with either continuous-time feedback laws, or sampled-data feedback laws with sufficiently fast sampling, or with discrete-time feedback laws for parametric nonlinear systems with nonlinearities having a linear growth rate. Removing these constraints turns out to be quite difficult in general, which motivates the study of the maximum capability and fundamental limitations of the feedback mechanism. Although much effort has been made in this direction in recent years, many problems still remain open. For example, the case where there is a pure time-delay in the feedback channel or the case where the system state is of high dimension remains to be unexplored, which appears to be highly nontrivial. In this paper, we shall present some preliminary results on global adaptive nonlinear stabilization, by investigating two special classes of discrete-time uncertain nonlinear dynamical systems with delayed feedback and with two dimensional state signal, respectively.
Keywords：feedbackadaptive controluncertaintynonlinear systemsglobal stabilization
Publication Date：2014-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：7( 1671-1677 )