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Finite-time Peak-to-peak Gain Minimization

  • Honghai Wang
  • Chunling Wang
  • Yang Zheng
  • Zihong Chen
  • Shuping HeEmail author
Regular Papers Control Theory and Applications
  • 3 Downloads

Abstract

The finite-time peak-to-peak filtering problem is studied for a class of linear dynamic systems. By reconstructing the system, the dynamic filtering error system is obtained. Our aim is to design a peak-to-peak filter such that the induced L gain from the unknown disturbance to the estimated errors is minimized with respect to the finite-time interval. By using a proper Lyapunov function, sufficient conditions are established on the existence of peak-to-peak filter which also guarantees the finite-time boundedness of the filtering error dynamic systems. The design criteria are presented in the form of linear matrix inequalities and then described as an optimization problem. Simulation results are given to illustrate the validity of the proposed approaches.

Keywords

Finite-time boundedness linear matrix inequalities L gain peak-to-peak filtering 

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Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Honghai Wang
    • 1
  • Chunling Wang
    • 1
  • Yang Zheng
    • 1
  • Zihong Chen
    • 1
  • Shuping He
    • 2
    Email author
  1. 1.School of Robot EngineeringAnhui Sanlian UniversityHefeiChina
  2. 2.School of Electrical Engineering and AutomationAnhui UniversityHefeiChina

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