Adaptive stabilization of a class of nonlinear systems using high-gain feedback. (English) Zbl 0625.93040

This note presents a high-gain feedback stabilizing control algorithm in which the high-gain parameter if adapted on-line. The algorithm is developed for a class of nonlinear systems which can be viewed as the nonlinear counterpart of uniform rank systems. The system can be unknown except for a number of vital pieces of information. For single-input single-output linear systems such information is usually required in the traditional adaptive control literature.


93C40 Adaptive control/observation systems
93C10 Nonlinear systems in control theory
93D15 Stabilization of systems by feedback
93B40 Computational methods in systems theory (MSC2010)
65K10 Numerical optimization and variational techniques
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