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

†Communicated by the Author. This research was supported by National Science Foundation Grant GK-3273.

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.

Notes

†Communicated by the Author. This research was supported by National Science Foundation Grant GK-3273.

‡The results on convergence closely follow the work of Lukes (1967).