This paper proposes an alternative theory to the Ito calculus due to Balakrishnan: the white noise theory in Hilbert spaces. The proposed approach extends Blakrishnan's theory to a new class of nonlinear systems. The method uses the theory of differential geometry to devise a suitable map which transforms the starting system in an equivalent...
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2016 (v1)PublicationUploaded on: April 14, 2023
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2017 (v1)Publication
This paper concerns the state estimation problem for linear discrete-time non-Gaussian systems. It is known that filters based on quadratic functions of the measurements processes (Quadratic Filter) improve the estimation accuracy of the optimal linear filter. In order to enlarge the class of systems, which can be processed by a Quadratic...
Uploaded on: March 27, 2023 -
2014 (v1)Publication
This paper concerns the state estimation problem for linear discrete-time systems with non-Gaussian state and output noises. A sub-optimal quadratic filter algorithm is proposed. In order to enlarge the class of systems allowed to be processed, a novel approach based on the output injection stabilization is derived. Also a second benefit to the...
Uploaded on: May 13, 2023 -
2013 (v1)Publication
This paper concerns with the state estimation problem of nonlinear systems with sampled noisy measurements. The main idea is to exploit a result of the analysis of nonlinear systems, which considers a class of state-space nonlinear models admitting the design of a deterministic observer with linear error dynamics. Such systems are supposed to...
Uploaded on: May 13, 2023 -
2016 (v1)Publication
This paper proposes a new method to simultaneously estimate the state and the delay of a linear time delay system. The approach is based on the definition of an augmented linear time-varying model whose state is composed by both the original state vector and the delay. The estimation is then carried out by developing an appropriate observer for...
Uploaded on: March 27, 2023 -
2017 (v1)Publication
The problem of state estimation for nonlinear systems with unknown state or measurement delays is still an open problem. In this paper, we consider the case of measurement delay and propose an approach that combines a delay identifier with a suitable high-gain observer in order to achieve simultaneous estimation of state and delay. We provide...
Uploaded on: April 14, 2023 -
2016 (v1)Publication
The problem of state estimation for nonlinear systems with unknown state delays is still an open problem. In this paper, we propose to add a delay identifier to suitable high-gain observers in order to achieve simultaneous estimation of state and delay. In the case of one constant delay in the state, we provide sufficient conditions to...
Uploaded on: April 14, 2023 -
2017 (v1)Publication
This paper focuses on the development of equivalent models able to represent the dynamical behavior of active distribution networks. The availability of these models is becoming of fundamental importance for allowing the interoperability between the transmission and distribution system operators. This is due to the large deployment of...
Uploaded on: March 27, 2023