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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 561197
Title Theoretical and numerical issues concerning temporal stabilisability and detectability
Author(s) Willigenburg, Gerard Van; Koning, Willem L. De
Source In: IFAC Proceedings Volumes. - Elsevier (IFAC Proceedings Volumes (IFAC-PapersOnline) ) - p. 368 - 375.
Event 3rd International Conference on Advances in Control and Optimization of Dynamical Systems, ACODS 2014, Kanpur, 2014-03-13/2014-03-15
DOI https://doi.org/10.3182/20140313-3-IN-3024.00117
Department(s) VLAG
Biomass Refinery and Process Dynamics
Publication type Contribution in proceedings
Publication year 2014
Keyword(s) Linear Systems - Optimal Control - Temporal Detectability - Temporal Stabilisability - Temporal Stability - Time-varying Systems
Abstract

Motivated by the design of perturbation (output) feedback controllers for nonlinear systems, temporal system properties have been developed by the authors, for time-varying linear continuous-time systems. In particular temporal controllability/reachability, temporal stabilisability, temporal reconstructability/observability and temporal detectability. As opposed to their ordinary counterparts, these temporal properties identify the temporal loss of stabilisability and detectability that may occur for time-varying linear continuous-time systems obtained e.g. by linearising around state and control trajectories of a non-linear system. One contribution of this paper is to show that temporal stabilisability and temporal detectability require a measure of state decay that cannot be independent of the state representation and state vector norm. This raises the issue of how to select the state representation or norm. The second contribution of this paper is to deal with this selection. Thirdly this paper presents two new, alternative ways to compute temporal stabilisability and detectability and their associated measures. They are compared with computations proposed earlier that rely on LQ control. Finally, through simple illustrative examples, numerical aspects concerning computation of temporal stabilisability and detectability and their associated measures are investigated.

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