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Open Access Publications from the University of California

A finite-time convergent observer with robustness to piecewise-constant measurement noise

  • Author(s): Li, Y
  • Sanfelice, RG
  • et al.

© 2015 Elsevier Ltd. Motivated by the design of observers with good performance and robustness to measurement noise, the problem of estimating the state of a linear time-invariant system in finite time and robustly with respect to measurement noise is considered. Using a hybrid systems framework, a hybrid observer producing an estimate that converges to the plant state in finite time, even under unknown piecewise-constant noise, is presented. The stability and robustness properties of the observer are shown analytically and validated numerically.

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