Novel Delay-Dependent H-infinity Stabilization Criterion for Lur'e Systems with Sector-Restricted Nonlinearities and External Disturbances via PD Feedback Approach

作者：Yin, Chun^*; Zhong, Shouming; Liu, Xiaoyun; Liu, Zijian

来源：Journal of Optimization Theory and Applications, 2011, 151(1): 81-99.

DOI：10.1007/s10957-011-9857-8

• Lur'e systems
• H infinity stabilization
• PD feedback controller
• Linear matrix inequalities (LMIs)
• Convex optimization

In this paper, the effects of time delay on H-infinity control of Lur'e systems are considered. Using a convex representation of the nonlinearity, a novel delaydependent H-infinity stability criterion is derived for the Lur'e systems via proportionalderivative (PD) feedback law. The Lyapunov-Krasovskii functional based on the delay discretization approach is used for the purpose of obtaining the H-infinity 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 H-infinity norm constraint. Finally, two numerical examples show the effectiveness of the proposed method.

• 出版日期2011-10
• 单位电子科技大学