Abstract
A static Luenberger observer of a system with Sturm–Liouville operator is synthesised with the aid of a boundary control formulation. To this aim, approximate observability, detectability and stability of the system is studied and design results are worked out for a typical biochemical case study.
Notes
Notes
1. The semigroup is defined as in Definition 2.1.8, Chapter 2 of Curtain and Zwart (Citation1995).
2. The definition of a Riesz spectral operator is found in Theorem 2.3.5 in Curtain and Zwart (Citation1995).
3. Operator Q is said to be positive if ⟨Az, z⟩ > 0 for all nonzero z ∈ D(Q).
4. The growth bound of a semigroup T is given by
5. The definition of a growth bound ω0 of a Riesz spectral operator is