Nonlinear analysis for verifying closed-loop stability before inserting a new controller

Abstract

Suppose a nonlinear plant is stabilized by a nonlinear controller, and further assume that the plant is unknown but the controller is known. Suppose also that the use of a new controller appears attractive. This paper extends our results for linear time-invariant systems and proposes novel nonlinear analysis results, utilizing the kernel representation of nonlinear systems, for ensuring that the introduction of the new nonlinear controller will stabilize the plant. Show more