Robustness of Nonlinear State Feedback: A Survey
1987 (English)In: Automatica, ISSN 0005-1098, Vol. 23, no 4, 425-435 p.Article in journal (Refereed) Published
A survey of robustness of nonlinear state feedback is given. For series perturbations there are fairly complete results, showing that under mild restrictions an optimal controller can tolerate an infinite increase in gain. For gain reductions there are some results for systems linear in the control. In particular there is a 50% reduction tolerance if the control penalty is quadratic. Usually the optimal controller cannot be computed exactly. There are some results showing the effects of truncation on the robustness. Essentially robustness is maintained but in a reduced (computable) part of the state space.
Place, publisher, year, edition, pages
1987. Vol. 23, no 4, 425-435 p.
Robustness, Optimal feedback, Gain margin, Lyapunov theory, Hamilton-Jacobi equation, Nonlinear control
IdentifiersURN: urn:nbn:se:liu:diva-100600DOI: 10.1016/0005-1098(87)90072-0OAI: oai:DiVA.org:liu-100600DiVA: diva2:663158