An improved stability criterion for a class of Lur'e systems

Li, Guang; Heath, W.P.; Lennox, B.
Date: 21 January 2008
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Publisher DOI
https://doi.org/10.1109/CDC.2007.4434600
Abstract
We consider the stability of the feedback connection of a linear time invariant (LTI) plant with a static nonlinearity expressed by a certain class of quadratic program. By generalizing the class of candidate Lyapunov functions we improve on existing results in the literature. A Lyapunov function is constructed via the S-procedure from ...
We consider the stability of the feedback connection of a linear time invariant (LTI) plant with a static nonlinearity expressed by a certain class of quadratic program. By generalizing the class of candidate Lyapunov functions we improve on existing results in the literature. A Lyapunov function is constructed via the S-procedure from quadratic constraints established using the Karush-Kuhn-Tucker (KKT) conditions. The stability criterion can be expressed as a linear matrix inequality (LMI) condition. We discuss some simple examples that demonstrate the improved results.
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Engineering

Faculty of Environment, Science and Economy

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