Stability Analysis For Uncertain Chains Of Integrators Driven By Nested Nonlinear Feedbacks
2019 AMERICAN CONTROL CONFERENCE (ACC)（2019）
摘要
It is proved that the linear uncertain systems described by chains of integrators with unknown positive parameters can be stabilized by a kind of nested nonlinear feedback controllers with any positive gains. A Lyapunov/Chetaev function is constructed for the stability analysis of the closed-loop system, and a necessary and sufficient condition for the asymptotic stability is derived by using the technique of homogeneous domination.
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关键词
positive gains,stability analysis,closed-loop system,asymptotic stability,nested nonlinear feedbacks,linear uncertain systems,unknown positive parameters,nested nonlinear feedback controllers,integrators,stabilization,Lyapunov function,Chetaev function,necessary condition,sufficient condition,homogeneous domination
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