×

Approaches to robust pole assignment. (English) Zbl 0666.93042

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

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
PDFBibTeX XMLCite
Full Text: DOI