Additional results on sub–optimal feedback control of non–linear systems†

Abstract

Convergence properties of a perturbational procedure for generating sub–optimal control laws for non–linear dynamical systems described by x = Ax + ∊φ(∊, x)+ Bu are discussed. Optimization is carried out with respect to a quadratic performance index, and an estimate of the degradation of performance resulting from truncation of the perturbational solution is presented.