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A Parametric Approach to the Design of Reduced-Order Linear Functional Observers

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

Introduction

In Chapter 3, the design of linear functional observers of the form (3.6)-(3.7) has been discussed. It has been shown in Chapter 3 that the design of linear functional observers is related to solving the following reduced-order, coupled matrix equations

NL2 − L1A12 − L2A22 = 0 (4.1)

F2 = DL2 (4.2)

where F2 ∈ ℝr×(n − p) is a known full-row rank matrix and the pair (A12,A22) is observable. Matrices L1 ∈ ℝq×p, L2 ∈ ℝq×(n − p), D ∈ ℝr×q and N ∈ ℝq×q (N must be a stable matrix) are unknown and need to be determined to satisfy (4.1)-(4.2).

Keywords

Parametric Approach Unknown Input Tional Observer Sylvester Equation Coprime Factorization 
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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