zbMATH — the first resource for mathematics

A small-gain control method for nonlinear cascaded systems with dynamic uncertainties. (English) Zbl 0869.93004
The authors consider robust control problems for a class of time-varying nonlinear cascaded systems in the presence of unstructured static uncertainties and stable dynamic uncertainties. There has been little previous work in the literature on robust global stabilization of nonlinear systems in the presence of dynamic uncertainties. The authors’ approach uses a stepwise constructive control methodology which relies on the recently established nonlinear small-gain theorem. Their framework for dealing with dynamic uncertainties is broad and flexible enough to establish (as special cases) several results for special classes of cascaded systems which were considered previously in the literature.

93A99 General systems theory
93D21 Adaptive or robust stabilization
93C10 Nonlinear systems in control theory
Full Text: DOI