Hk. Tam et J. Lam, An optimal differential sensitivity approach to pole assignment for structurally perturbed systems, J DYN SYST, 121(3), 1999, pp. 410-417
Citations number
26
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME
This paper introduces a mathematical formula for calculating the eigenvalue
differential sensitivities of the closed-loop state matrix with respect to
a disturbance matrix when the closed-loop system is subjected to an additi
ve structured perturbation. The robust pale assignment problem is then form
ulated as an optimization task in which the differential sensitivities of t
he closed-loop poles are minimized. The case of "multi-perturbations" can b
e considered naturally in our problem formulation. The gradient of the obje
ctive function to be minimized is then derived which permits the minimizati
on to be proceeded effectively. Numerical examples are then employed to ill
ustrate the design technique.