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Estimation and control with cubic nonlinearities (1987)

Shefer, M. ; Breakwell, J. V.

Springer

Journal of optimization theory and applications 53 (1987), S. 1-7

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ISSN: 1573-2878

Keywords: Feedback control ; nonlinearities ; estimators ; compensators

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract The nonlinearities in a dynamic system and its measurement equations are assumed to be cubic and small, i.e., all proportional to a single scalar small parameter ε. The optimal digital nonlinear feedback control law is carried through the first power of ε, taking into account the non-Gaussian character of the state conditional distribution. The optimal law involves cubic and linear terms in the state estimate, as well as higher moments of the state conditional distribution.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00938812

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