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 486895
Title Temporal stabilizability and compensatability of time-varying linear discrete-time systems with white stochastic parameters
Author(s) Willigenburg, L.G. van; Koning, W.L. De
Source European Journal of Control 23 (2015). - ISSN 0947-3580 - p. 36 - 47.
DOI https://doi.org/10.1016/j.ejcon.2015.01.005
Department(s) Biomass Refinery and Process Dynamics
VLAG
Publication type Refereed Article in a scientific journal
Publication year 2015
Keyword(s) optimal compensation - stabilization - detectability - design - delays
Abstract This paper reveals that apart from changes of system structure vital system properties such as stabilizability and compensatability may be lost temporarily due to the stochastic nature of system parameters. To that end new system properties called temporal mean-square stabilizability (tms-stabilizability) and temporal mean-square compensatability (tms-compensatability) for time-varying linear discrete-time systems with white stochastic parameters (multiplicative white noise) are developed. When controlling such systems by means of (optimal) state feedback, tms-stabilizability identifies intervals where mean-square stability (ms-stability) is lost temporarily. This is vital knowledge to both control engineers and system scientists. Similarly, tms-compensatability identifies intervals where ms-stability is lost temporarily in case of full-order (optimal) output feedback. Tests explicit in the system matrices are provided to determine each temporal system property. These tests compute measures of the associated temporal system properties. Relations among the new system properties as well as relations with associated existing system properties are investigated and established. Examples illustrating principal applications and practical importance are provided.
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