Output-input stability and feedback stabilization of multivariable nonlinear control systems
نویسنده
چکیده
Abstract— We study the recently introduced notion of outputinput stability, which is a robust variant of the minimumphase property for general smooth nonlinear control systems. This paper develops the theory of output-input stability in the multi-input, multi-output setting. We show that output-input stability is a combination of two system properties, one related to detectability and the other to left-invertibility. For systems affine in controls, we derive a necessary and sufficient condition for output-input stability, which relies on a global version of the nonlinear structure algorithm. This condition leads naturally to a globally asymptotically stabilizing state feedback strategy for affine output-input stable systems.
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