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Stabilization with eigenvalues placement of a norm bounded uncertain system by bounded inputs

✍ Scribed by Germain Garcia; Sophie Tarbouriech

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
158 KB
Volume
9
Category
Article
ISSN
1049-8923

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✦ Synopsis

In this paper, a method to design a bounded feedback control function which stabilizes a norm bounded uncertain linear system is proposed. The aim is to ensure a certain performance level in a neighbourhood (ellipsoid) of the origin, through pole placement and guaranteed cost feedback control. Outside this neighbourhood, a linear-like control with state dependent gains is derived from the solutions of a family of parameter dependent algebraic Riccati equations. The proposed method can be used for continuous-time as well as discrete-time systems.

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