Byers, Ralph; Nash, Stephen G. Approaches to robust pole assignment. (English) Zbl 0666.93042 Int. J. Control 49, No. 1, 97-117 (1989). Robust pole assignment is a nonlinear optimization problem in many variables. We describe numerical methods for determining robust or well- conditioned solutions to the problem of pole assignment by state feedback. The solutions are chosen to minimize various objective functions based on the condition number of the eigenvector matrix. Careful choice of parametrization and objective function avoids singularities and artificial variable constraints; explicit formulae for the gradient and hessian permit rigorous stopping criteria and rapid local convergence. Several computational examples are included. Reviewer: St.G.Nash Cited in 18 Documents MSC: 93B55 Pole and zero placement problems 93C05 Linear systems in control theory 93B35 Sensitivity (robustness) 93C55 Discrete-time control/observation systems 90C30 Nonlinear programming Keywords:Robust pole assignment; state feedback; time-invariant; continuous-time PDFBibTeX XMLCite \textit{R. Byers} and \textit{S. G. Nash}, Int. J. Control 49, No. 1, 97--117 (1989; Zbl 0666.93042) Full Text: DOI