We investigate the use of Hamilton-Jacobi approaches for the purpose of state reconstruction of dynamic systems. First, the classical formulation based on the minimization of an estimation functional is analyzed. Second, the structure of the resulting estimator is taken into account to study the global stability properties of the estimation...
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2020 (v1)PublicationUploaded on: April 14, 2023
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2020 (v1)Publication
Quadratic boundedness is adopted to construct state observers for linear, piecewise linear, and Lipschitz nonlinear systems subject to bounded disturbances. Upper bounds on the estimation error are derived by exploiting quadratic boundedness and a design method based on linear matrix inequalities is proposed to minimize such bounds. Simulation...
Uploaded on: April 14, 2023 -
2020 (v1)Publication
Fast moving horizon state estimation for nonlinear discrete-time systems affected by disturbances is addressed by means of imperfect optimization at each time instant based on few iterations of the gradient, conjugate gradient, and Newton algorithms. Linear constraints on the state vector are taken into account through a projection on the...
Uploaded on: April 14, 2023 -
2020 (v1)Publication
The special issue presents results of the current research on moving horizon estimation for linear and nonlinear systems. The special issue includes six papers with two main types of contributions, that is, those with new theoretical developments and those focused on practical applications such as fault diagnosis, outlier accommodation, and...
Uploaded on: April 14, 2023 -
2020 (v1)Publication
This paper deals with the problem of state estimation of dynamic systems with Lipschitz nonlinearities using a new high gain observer design. The aim of this new design procedure is to reduce the value of the tuning parameter and the observer gain compared to the standard high gain observer on the one hand without solving a set of LMIs as in...
Uploaded on: April 14, 2023 -
2020 (v1)Publication
In this study, the authors develop a new high-gain observer design method for non-linear systems. This new design provides a lower gain compared to both the high-gain and the enhanced high-gain observer. The idea is to combine the improved high-gain methodology with the linear matrix inequality based observer design technique to build a more...
Uploaded on: March 27, 2023 -
2021 (v1)Publication
This paper establishes some input-to-state stability (ISS) properties w.r.t. in-domain process and measurement disturbances for systems described by a normal flow equation governed by an observer-based control scheme without knowledge of the spatial derivatives of the viscosity solution. The approach used to achieve the "a priori"ISS estimates...
Uploaded on: February 7, 2024 -
2022 (v1)Publication
Epidemiological models play a vital role in under-standing the spread and severity of a pandemic or epidemic caused by an infectious disease in a host population. The mathematical modeling of infectious diseases in the form of compartmental models are often employed in studying the probable outbreak growth. In this paper, we study the problem...
Uploaded on: February 14, 2024 -
2022 (v1)Publication
In this paper, we investigate the problem of state estimation for a simple one-gene regulation dynamic process involving end-product activation to rebuild the non-measured concentrations of mRNA and the involved protein. We syn-thesize a convenient observer structure following the high-gain methodology by combining the observer proposed in [1]...
Uploaded on: February 14, 2024 -
2023 (v1)Publication
Dorsal closure is a morphogenetic process similar to wound healing, whereby a gap in the epithelium is closed through the coordination of the elongation of epidermal cells and contraction of Amnioserosa cells (AS). Throughout the early stages of this process, the AS cells exhibit fluctuations of their apical area which provides an ideal system...
Uploaded on: February 14, 2024 -
2023 (v1)Publication
This letter deals with the investigation of an important property that characterizes the detectability of nonlinear systems, namely the incremental Exponential Input/Output-to-State Stability (i-EIOSS). While such a property is easy to check for linear systems, for nonlinear systems it is a hard task. On the other hand, the i-EIOSS property is...
Uploaded on: July 4, 2024 -
2022 (v1)Publication
Switched-gain observers are investigated for the purpose of estimating the state of linear systems affected by bounded noises. Under mild assumptions, hybrid observers with switching gains are proposed and provided with stability analysis based on quadratic boundedness for the estimation error. Such observers are designed by solving...
Uploaded on: April 14, 2023