Observability and nonlinear filtering
نویسندگان
چکیده
منابع مشابه
Observability of Nonlinear Systems
Abstract. Observability of a general nonlinear system—given in terms of an ODE ẋ = f(x) and an output map y = c(x)—is defined as in linear system theory (i.e. if f(x) = Ax and c(x) = Cx). In contrast to standard treatment of the subject we present a criterion for observability which is not a generalization of a known linear test. It is obtained by evaluation of “approximate first integrals”. Th...
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In this paper, we study the observability properties of nonlinear discrete time systems. Two types of contributions are given. First, we present observability criteria in terms of appropriate codistributions. For particular, but significant, classes of systems we provide criteria that require only a finite number of computations. Then, we consider invertible systems (which includes discrete-tim...
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We investigate observability of the nonlinear system equations describing the Hot Isostatic Pressing (HIP'ing) dynamic system. If the system is observable, then grain size may be estimated during the HIP'ing process without directly measuring it as an output of the system. Our results indicate that the system is observable. The problem of estimating the states and parameters of a nonlinear dyna...
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Observability is a very useful concept for determining whether the dynamics of complicated systems can be correctly reconstructed from a single (univariate or multivariate) time series. When the governing equations of dynamical systems are high-dimensional and/or rational, analytical computations of observability coefficients produce large polynomial functions with a number of terms that become...
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Two of the fundamental concepts appearing in the earlier studies on linear control systems are controllability and observability. In particular, it was through the work of R.E. Kalman that the notion of controllability of a linear system was shown to be of interest in itself, and not only as it was appearing in the context of optimal control. Linear controllability turns out to be of importance...
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ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2008
ISSN: 0178-8051,1432-2064
DOI: 10.1007/s00440-008-0161-y