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arXiv · 2011.01093

Predicting the future state of disturbed LTI systems: A solution based on high-order observers

Alberto Castillo·Pedro Garcia
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Abstract

Predicting the state of a system in a relatively near future time instant is often needed for control purposes. However, when the system is affected by external disturbances, its future state is dependent on the forthcoming disturbance; which is, in most of the cases, unknown and impossible to measure. In this scenario, making predictions of the future system-state is not straightforward and, indeed, there are scarce contributions provided to this issue. This paper treats the following problem: given a LTI system affected by continuously differentiable unknown disturbances, how its future state can be predicted in a sufficiently small time-horizon by high-order observers. Observer design methodologies in order to reduce the prediction errors are given. Comparisons with other solutions are also established.

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Alberto Castillo, Pedro Garcia. 2020-11-02. Predicting the future state of disturbed LTI systems: A solution based on high-order observers. https://arxiv.org/abs/2011.01093

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