What is it about?
The article shows how Ackermann’s formula for pole placement can be easily extended to not fully controllable plants for time-continuous single and multi-variable state-controlled systems. The presented method is based on a subsystem-oriented state variable transformation in conjunction with the introduction of additional fictitious manipulated variables, which can be used to formally influence the noncontrollable eigenvalues of the plant, but do not influence them because of zeroing the fictitious manipulated variables.
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Why is it important?
It is no longer necessary to perform model reduction prior to controller design for a controlled system that is not fully controllable. With the presented method, a state controller can also be designed for these paths without detours.
Perspectives
The presented method finally makes it possible to use the same design tool for controllable and non-controllable controlled systems.
Prof. Dr. Uwe Nuss
Offenburg University
Read the Original
This page is a summary of: Die Erweiterung der Ackermann-Formel auf nicht vollständig steuerbare Strecken, at - Automatisierungstechnik, October 2020, De Gruyter,
DOI: 10.1515/auto-2020-0005.
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