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Observability and Observers for Nonlinear Systems

SIAM Journal on Control and Optimization, 1994
Summary: This paper deals with observability and observers for general nonlinear systems. In the non-control-affine case, we characterize systems that are observable independently of the inputs. An exponential observer for these systems is also exhibited.
Gauthier, J. P., Kupka, I. A. K.
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Observability for hybrid systems

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004
The notion of generic final-state asymptotically determinable hybrid system is introduced. Then, sufficient conditions for a linear hybrid system to be generic final-state asymptotically determinable are given. These conditions show that generic final-state asymptotic determinability can be verified even if each of the continuous subsystems of the ...
A. Balluchi   +3 more
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Observers for Interconnected Systems

IFAC Proceedings Volumes, 1982
Abstract The problem of constructing local state estimators for an interconnected system is formulated and is constructively resolved. It is shown that the 'interconnection zeros' play a central role in the development. The main results include the design of observers for multivariable systems with unmeasurable arbitrary disturbances as well as a ...
N. Viswanadham, A. Ramakrishna
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Semilinear observation systems

Systems & Control Letters, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mahmoud Baroun   +3 more
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Observation for the perspective system

2001 European Control Conference (ECC), 2001
We consider the problem of estimating the position of an object moving in the space by observing its image with the aid of a CCD camera. The problem can be converted into the observation of a dynamical system with nonlinearities. A new method is proposed to identify the obtained dynamical system.
Xinkai Chen, Hiroyuki Kano
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Observability and Observer for Dynamical Systems

2021
Before dealing with the observer design for dynamical systems, we need firstly to analyze whether the states of the studied dynamical system can be observable or not. This property is named as observability in the literature. Therefore, this chapter aims at recalling the existing results on observability analysis approaches and observer design ...
Driss Boutat, Gang Zheng
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Observability of Nonlinear Systems

IMA Journal of Mathematical Control and Information, 1984
We consider the observability of systems of the form \(\dot x=Ax+Nx,y=Fx\), where A is a linear operator and N and F are nonlinear. We show that if the system is linearized about an equilibrium point \(x_ e\) and the linearized system is continuously initially observable, then the nonlinear system is continuously initially observable in some ...
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Interval observer composed of observers for nonlinear systems

2014 European Control Conference (ECC), 2014
For a family of continuous-time nonlinear systems with input, output and uncertain terms, a new interval observer design is proposed. The main feature of the constructed interval observer is that it is composed of two copies of a classical observer whose corresponding error equations are, in general, not cooperative.
Dinh, Thach Ngoc   +2 more
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A “practical” observer for nonlinear systems

2017 IEEE 56th Annual Conference on Decision and Control (CDC), 2017
In this paper, a 'practical' observer for nonlinear systems is given. Namely, it is shown that if the output and its time derivatives up to a sufficiently high finite order are bounded and the initial estimation error is sufficiently small, then the proposed observer is such that the estimation error can be made arbitrarily small for all sufficiently ...
Menini, Laura   +2 more
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