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Robustness of Nonlinear State Feedback: A Survey
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1987 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 23, no 4, 425-435 p.Article in journal (Refereed) Published
Abstract [en]

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.
Keyword [en]
Robustness, Optimal feedback, Gain margin, Lyapunov theory, Hamilton-Jacobi equation, Nonlinear control
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-100600DOI: 10.1016/0005-1098(87)90072-0OAI: oai:DiVA.org:liu-100600DiVA: diva2:663158
Available from: 2013-11-10 Created: 2013-11-10 Last updated: 2017-12-06

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Glad, Torkel

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