Delay-Dependent Guaranteed Cost Control for Uncertain Neutral Systems with Distributed Delays

  • Li, Yongmin (School of Automation, Nanjing University of Science and Technology, School of Science, Huzhou Teachers College) ;
  • Xu, Shengyuan (School of Automation, Nanjing University of Science and Technology) ;
  • Zhang, Baoyong (School of Automation, Nanjing University of Science and Technology) ;
  • Chu, Yuming (School of Science, Huzhou Teachers College)
  • Published : 2008.02.28

Abstract

This paper considers the problem of delay-dependent guaranteed cost controller design for uncertain neutral systems with distributed delays. The system under consideration is subject to norm-bounded time-varying parametric uncertainty appearing in all the matrices of the state-space model. By constructing appropriate Lyapunov functionals and using matrix inequality techniques, a state feedback controller is designed such that the resulting closed-loop system is not only robustly stable but also guarantees an adequate level of performance for all admissible uncertainties. Furthermore, a convex optimization problem is introduced to minimize a specified cost bound. By matrix transformation techniques, the corresponding optimal guaranteed controller can be obtained by solving a linear matrix inequality. Finally, a simulation example is presented to demonstrate the effectiveness of the proposed approach.

Keywords

References

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