Stability analysis for a class of linear controllers under control constraints

The authors present a method for analyzing a system for stability when control magnitude constraints are introduced. They start with a given linear full state feedback controller of a certain form which stabilizes the unconstrained system. For the constrained system, where the control is obtained by...

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Bibliographic Details
Published inIEEE Decision and Control, 1991 pp. 77 - 80 vol.1
Main Authors Dolphus, R.M., Schmitendorf, W.E.
Format Conference Proceeding
LanguageEnglish
Published IEEE 1991
Subjects
Aerospace engineering
Control systems
Linear feedback control systems
Lyapunov method
Optimal control
Riccati equations
Size control
Stability analysis
State feedback
Strain control
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ISBN0780304500
9780780304505
DOI10.1109/CDC.1991.261258

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Summary:The authors present a method for analyzing a system for stability when control magnitude constraints are introduced. They start with a given linear full state feedback controller of a certain form which stabilizes the unconstrained system. For the constrained system, where the control is obtained by saturating the linear control, stability is shown as a tradeoff between the size of the initial condition set and the size of the control constraints. As an example the linearized equations of motion for a satellite in a circular equatorial orbit are considered.< >
ISBN:0780304500
9780780304505
DOI:10.1109/CDC.1991.261258