4.5 Article

A finite frequency approach to filter design for uncertain discrete-time systems

Publisher

WILEY
DOI: 10.1002/acs.998

Keywords

filter design; finite frequency; linear matrix inequality (LMI); generalized Kalman-Yakubovich-Popov (GKYF) lemma

Funding

  1. Publishing Arts Research Council
  2. Program for New Century Excellent Talents in University [NCET-04-0283]
  3. Funds for Creative Research Groups of China [60521003]
  4. Program for Changjiang Scholars and Innovative Rescarch Team in University [IRT0421]
  5. National Natural Science of China [60534010]
  6. National Science of China [60674021]
  7. MOE, China [20060145019]

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This paper studies the problem of finite frequency filter design for linear time-invariant discrete-time systems with polytopic uncertainties. Generalized Kalman-Yakubovich-Popov lemma is exploited to formulate the filter design problem in finite frequency domain. A design method is presented in terms of solutions to a set of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the proposed method. Copyright (c) 2007 John Wiley & Sons, Ltd.

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