A Parametric Approach to the Design of Reduced-Order Linear Functional Observers
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).
KeywordsParametric Approach Unknown Input Tional Observer Sylvester Equation Coprime Factorization
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