Khalil, Hassan K.; Saberi, Ali Adaptive stabilization of a class of nonlinear systems using high-gain feedback. (English) Zbl 0625.93040 IEEE Trans. Autom. Control 32, 1031-1035 (1987). 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. Cited in 59 Documents MSC: 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 Keywords:high-gain feedback stabilizing control algorithm; nonlinear systems; uniform rank systems; adaptive control PDFBibTeX XMLCite \textit{H. K. Khalil} and \textit{A. Saberi}, IEEE Trans. Autom. Control 32, 1031--1035 (1987; Zbl 0625.93040) Full Text: DOI