Improved asymptotic stability analysis for Lur’e systems with sector and slope restricted nonlinearities
نویسندگان
چکیده
In this Letter, we propose new criteria for asymptotic stability of Lur’e systems with sector and slope restrictions. The criteria are expressed in terms of linear matrix inequality which has full block scaling matrix. By interpreting the criteria in the frequency domain using KYP lemma, the less conservativeness of the proposed analysis method is investigated. Furthermore, we analyze the dynamic system with input saturation using sector and slop properties of the saturation nonlinearity. A numerical example shows the effectiveness of the proposed method. © 2006 Elsevier B.V. All rights reserved.
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Stability Analysis of Discrete-time Lure Systems with Slope-restricted Odd Monotonic Nonlinearities
Abstract— Many nonlinear dynamical systems can be written as Lur’e systems, which are described by a linear time-invariant system interconnected with a diagonal static sector-bounded nonlinearity. Sufficient conditions are derived for the global asymptotic stability analysis of discrete-time Lur’e systems in which the nonlinearities have restricted slope and/or are odd, which is the usual case ...
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Article history: Received 17 October 2008 Received in revised form 12 December 2008 Accepted 21 January 2009 Available online 24 January 2009 Communicated by A.R. Bishop
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