Robustness of nonlinear state feedback. A survey
type: Item
instance of: scholarly article
title: Robustness of nonlinear state feedback. A survey
zbMATH Open document ID: 0633.93051
DOI: 10.1016/0005-1098(87)90072-0
published in: Automatica
publication date: 1987-01-01T00:00:00Z
review text: 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 of 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.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93B35
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 34D10
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 49K40
Mathematics Subject Classification ID: 49L99
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93-02
zbMATH DE Number: 4031529
zbMATH Keywords: gain margin
zbMATH Keywords: Lyapunov theory
zbMATH Keywords: Hamilton-Jacobi equation
zbMATH Keywords: robustness
zbMATH Keywords: nonlinear state feedback
author: S. Torkel Glad
MaRDI profile type: Publication
full work available at URL: 0005-1098(87)90072-0
OpenAlex ID: W2070265600
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description: scientific article; zbMATH DE number 4031529