Staff Publications

Staff Publications

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    'Staff publications' is the digital repository of Wageningen University & Research

    'Staff publications' contains references to publications authored by Wageningen University staff from 1976 onward.

    Publications authored by the staff of the Research Institutes are available from 1995 onwards.

    Full text documents are added when available. The database is updated daily and currently holds about 240,000 items, of which 72,000 in open access.

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Record number 427836
Title Equivalent optimal compensation problem in the delta domain for systems with white stochastic parameters
Author(s) Willigenburg, L.G. van; Koning, W.L. de
Source International Journal of Systems Science 45 (2014)3. - ISSN 0020-7721 - p. 509 - 522.
DOI https://doi.org/10.1080/00207721.2012.724102
Department(s) Biomass Refinery and Process Dynamics
PE&RC
Publication type Refereed Article in a scientific journal
Publication year 2014
Keyword(s) continuous-time systems - compensatability - design
Abstract The equivalent representation in the delta domain of the digital optimal compensation problem is provided and computed in this article. This problem concerns finding digital optimal full and reduced-order output feedback controllers for linear time-varying and time-invariant systems with white stochastic parameters. It can subsequently be solved in the delta domain using the strengthened optimal projection equations that we recently formulated in this domain as well. If the sampling rate becomes high, stating and solving the problem in the delta domain becomes necessary because the conventional discrete-time problem formulation and solution become illconditioned. In this article, by means of several numerical examples and compensator implementations, we demonstrate this phenomenon. To compute and quantify the improved performance when the sampling rate becomes high, a new delta-domain algorithm is developed. This algorithm computes the performance of arbitrary digital compensators for linear systems with white stochastic parameters. The principle application concerns nonconservative robust digital perturbation feedback control of nonlinear systems with high sampling rates. Keywords: optimal output feedback; perturbation feedback; delta operator; multiplicative white noise; digital optimal control
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