Functional Unknown Input Observers: Further Results and Applications

  • Hieu Trinh
  • Tyrone Fernando
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 420)

Introduction

In Section 4.4 of Chapter 4, the design of reduced-order scalar functional observers for linear systems with unknown inputs has been discussed. The existence conditions have been presented in Proposition 4.3. It has been shown that the design of scalar functional observers for linear systems with unknown inputs is related to solving the following three coupled matrix equations

NL2 − L1A12 − L2A22 = 0, N is Hurwitz (5.1)

F2 = DL2 (5.2)

L1W1 + L2W2 = 0 (5.3)

where F2 ∈ ℝ1×(n − p) is a row matrix, W1 ∈ ℝp×l and W2 ∈ ℝ(n − pl are known constant matrices and the pair (A12,A22) is observable. Matrices L1 ∈ ℝq×p, L2 ∈ ℝq×(n − p), D ∈ ℝq and N ∈ ℝq×q (N must be a stable matrix) are unknown. A solution method based on the parametric approach has been presented in Chapter 4 for solving the above three coupled matrix equations.

Keywords

Existence Condition Unknown Input Rank Matrix Unknown Input Observer Order Observer 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Hieu Trinh
    • Tyrone Fernando

      There are no affiliations available

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