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- Title
Novel Delay-Dependent [InlineEquation not available: see fulltext.] Stabilization Criterion for Lur'e Systems with Sector-Restricted Nonlinearities and External Disturbances via PD Feedback Approach.
- Authors
Yin, Chun; Zhong, Shouming; Liu, Xiaoyun; Liu, Zijian
- Abstract
In this paper, the effects of time delay on [InlineEquation not available: see fulltext.] control of Lur'e systems are considered. Using a convex representation of the nonlinearity, a novel delay-dependent [InlineEquation not available: see fulltext.] stability criterion is derived for the Lur'e systems via proportional-derivative (PD) feedback law. The Lyapunov-Krasovskii functional based on the delay discretization approach is used for the purpose of obtaining the [InlineEquation not available: see fulltext.] stability condition by utilizing Projection Lemma. The criterion is utilized to not only guarantee stability of systems but also reduce the effect of external disturbance to an [InlineEquation not available: see fulltext.] norm constraint. Finally, two numerical examples show the effectiveness of the proposed method.
- Subjects
TIME delay systems; FEEDBACK control systems; MATRIX inequalities; MATHEMATICAL optimization; RANDOM dynamical systems
- Publication
Journal of Optimization Theory & Applications, 2011, Vol 151, Issue 1, p81
- ISSN
0022-3239
- Publication type
Article
- DOI
10.1007/s10957-011-9857-8