On the Closed-loop Sensitivity Reduction of Non-linear Systems

ABSTRACT

Expressions are derived that relate the sensitivity to parameter and disturbance variations of nominally equivalent open-loop and closed-loop non-linear and non-linear optimal systems. A numerical example is presented that demonstrates that even in a mildly non-linear optimal system, the sensitivity of the closed-loop system is not much lower than that of the nominally equivalent open-loop system.

Notes

†Communicated by the Authour.