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What is the minimum function observer order
2003 European Control Conference (ECC), 1998The design of a minimal order observer estimating a given function \(Kx(t)\) of the state vector \(x(t)\) for given observer poles and \(K\) is considered. The design problem is reduced to a set of linear equations \(K= K_z\text{diag}(c_1,\dots, c_r)D\), where \(r\) is the observer order, \(D\) is determined and the other parameters are free.
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A Functional Ontology of Observation and Measurement
2009An ontology of observation and measurement is proposed, which models the relevant information processes independently of sensor technology. It is kept at a sufficiently general level to be widely applicable as well as compatible with a broad range of existing and evolving sensor and measurement standards.
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Generalized functional observer
IEEE Transactions on Automatic Control, 1990A functional observer and state feedback are proposed for singular systems in the polynomial fraction form that requires no impulsive mode elimination. The order of the compensator is determined by the newly defined generalized observability index that is associated with the McMillan degree of the system.
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Observations on weight functions
Engineering Analysis with Boundary Elements, 1989Abstract This is a synopsis of the many facets of weight functions in two and three dimensions. Some new results are given for special cracks under plane strain deformation; for planar cracks in three-space it is shown how special Boussinesq-Papkovich potentials for mode I deformation can be used to construct weight functions for the shearing modes.
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Observables in Terms of Antonymous and Observable Functions
2018In this chapter we will introduce the notions of antonymous and observable functions put forward in [18]. These are utilised to express the physical quantise \(\breve {\delta }(\hat {A})\) corresponding to the self-adjoint operators \(\hat {A}\) in a more efficient way, which does not relay on calculating the approximations of \(\breve {\delta }(\hat ...
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The Strong Functional Observers
IFAC Proceedings Volumes, 1984Abstract Necessary and sufficient conditions for the existence of strong functional observer are given. The class of all reconstructable state-input functions for linear system with unknown input is stated. An algorithm of observer matrices calculation is proposed.
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2012
Linear functional observers take advantage of a recurring theme in state feedback control. That is, frequently in feedback control applications, only a linear combination of the state variables, i.e., Kx(t), is required, rather than a complete knowledge of the entire state vector x(t).
Hieu Trinh, Tyrone Fernando
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Linear functional observers take advantage of a recurring theme in state feedback control. That is, frequently in feedback control applications, only a linear combination of the state variables, i.e., Kx(t), is required, rather than a complete knowledge of the entire state vector x(t).
Hieu Trinh, Tyrone Fernando
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Admissibility of observation functionals
International Journal of Control, 1995The concept of infinite-time admissibility of unbounded observation functionals is introduced. Under the assumption of exponential stability of the semigroup, it is equivalent to finite-time admissibility recently investigated in Weiss (1988 b, 1989). Necessary and sufficient criteria for admissibility are given.
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On Functional Observers for Descriptor Systems
2021 American Control Conference (ACC), 2021Juhi Jaiswal +2 more
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Functional observers with linear error dynamics for discrete-time nonlinear systems
Automatica, 2022Benjamin Wilhite +2 more
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