Transactions of the Institute of Systems, Control and Information Engineers
Online ISSN : 2185-811X
Print ISSN : 1342-5668
ISSN-L : 1342-5668
Local Stability Analysis of Saturating Systems via Redundant LPV Descriptor Representation
Toshiharu SUGIETakayuki FUKUI
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2003 Volume 16 Issue 10 Pages 531-538

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Abstract

This paper considers local stability analysis of the systems with input saturation based on the LPV (linear parameter varying) descriptor representation which enables us to treat a wider class of systems and were originally proposed by Takaba. First, using the ordinary quadratic Lyapunov functions, we derive a less conservative stability condition compared to the former one by adding a new descriptor variable which is related to constancy of saturated inputs. Moreover, it is shown that this method can be easily extended to the case where piecewise quadratic Lyapunov functions are adopted. Finally we demonstrate its effectiveness through numerical examples.

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