Robust pole assignment in linear state feedback

Kautsky, J., Nichols, N. ORCID: https://orcid.org/0000-0003-1133-5220 and Van Dooren, P. (1985) Robust pole assignment in linear state feedback. International Journal of Control, 41 (5). p. 1129. ISSN 0020-7179 doi: 10.1080/0020718508961188

Abstract/Summary

Numerical methods are described for determining robust, or well-conditioned, solutions to the problem of pole assignment by state feedback. The solutions obtained are such that the sensitivity of the assigned poles to perturbations in the system and gain matrices is minimized. It is shown that for these solutions, upper bounds on the norm of the feedback matrix and on the transient response are also minimized and a lower bound on the stability margin is maximized. A measure is derived which indicates the optimal conditioning that may be expected for a particular system with a given set of closed-loop poles, and hence the suitability of the given poles for assignment.