Normalised quadratic controls for a class of bilinear systems
Resource
Control Theory and Applications, IEE Proceedings-
Journal
Control Theory and Applications, IEE Proceedings-
Pages
-
Date Issued
2002-11
Date
2002-11
Author(s)
Chen, M.-S.
Chen, Y.-Z.
DOI
1350-2379
Abstract
Normalised quadratic control, a modification of the conventional quadratic control method, has recently been proposed to exponentially stabilise a homogeneous bilinear system whose open-loop eigenvalues all fall on the imaginary axis. The normalised quadratic control method is now extended to a broader class of bilinear systems whose open-loop eigenvalues may fall to the left or right of the imaginary axis. It is shown that for bilinear systems that are already open-loop stable, the normalised quadratic control can add to the system an extra exponential decay rate. For open-loop unstable bilinear systems, the normalised quadratic control can stabilise the system if the extra exponential decay rate provided by the control is larger than the open-loop system's growth rate.
Type
journal article
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