Delay-dependent H∞ controller design for linear neutral systems with discrete and distributed delays

  • Authors:

  • Baoyong Zhang;Shaosheng Zhou;Shengyuan Xu

  • Affiliations:

  • School of Automation, Nanjing University of Science and Tecnology, Nanjing, Jiangsu, P. R. China;Institute of Information and Control, School of Automation, Hangzhou Dianzi University, Hangzhou, Zhejiang, P. R. China;School of Automation, Nanjing University of Science and Tecnology, Nanjing, Jiangsu, P. R. China

  • Venue:
  • International Journal of Systems Science
  • Year:
  • 2007

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Abstract

This article considers the delay-dependent H∞ control problem for linear neutral systems with both discrete and distributed delays. The problem we address is to design a state feedback controller such that the resulting closed-loop system is asymptotically stable and satisfies a prescribed H∞ performance level. First, a delay-dependent sufficient condition for the solvability of the problem is obtained in terms of matrix inequalities. Then, by using the cone complementarity linearization approach, an H∞ controller is developed based on the solvability condition. Finally, numerical examples are provided to demonstrate the effectiveness of the proposed method.