Sequential predictors for delay-compensating feedback stabilization of bilinear systems with uncertainties

Abstract

We construct delay-compensating input-to-state stabilizing feedback controllers for a class of nonlinear control systems that include bilinear systems that have pointwise delays in their inputs. Our new approach for delay compensation does not require constructing or estimating distributed terms in the formulas for the stabilizing control laws. We allow arbitrarily long constant input delays. We illustrate our findings in a power system example.