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Extended Observer Forms for Submersive Discrete-Time Systems
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DOI：10.1109/TAC.2023.3336253.png)
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摘要
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This technical note addresses the problem of transforming a single-input-single-output discrete-time system into the extended observer form, which comprise a linear time-invariant observable component, and a nonlinear injection term, which depends on the input, output, and their forward shifts up to a finite order. Intrinsic necessary and sufficient conditions are provided for obtaining the extended observer form via a parametrized state transformation. The conditions are formulated directly in terms of the state equations and do not rely on input-output equations as in the earlier papers. Further, an algorithm for obtaining the required transformation is presented. Unlike the existing results on observer forms, the results are not restricted to reversible systems but to more general submersive systems, i.e., to systems, which are reversible via static state feedback.
Keyword:
Observers
Output feedback
Nonlinear dynamical systems
Manifolds
Discrete-time systems
Transforms
Standards
Discrete-time system
extended observer form
geometric methods
nonlinear observers
期刊
IF:
7
论文数:
1.3W
被引数:
6.7W
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分享收藏Canonical observer forms for multi-output systems up to coordinate and output transformations in discrete time.png)
AUTOMATICA
AUTOMATICAIF5.9
PREAI
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