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Multivariable Control and Management

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Abstract

Classical feedback control systems with functional block diagrams are represented in this chapter with virtual buses. They allow the engineering of closed control loops much simpler than it is done with classical methods. For a simple control loop with only one controller and one plant, the bus-approach has hardly any advantages. But it has many advantages against classical block diagrams for systems with three or more controlled variables known as MIMO Control (Multi Input Multi Output). This chapter begins with the classical basics of MIMO and then spreads to the MIMO applications with virtual buses according to the bus introduced in [4, 5]. The virtual bus lets easily track the signal ways of multivariable systems and to describe them with transfer functions without converting them into state space models. As a result, the easy and complete decoupling of controllers is made with a Data Stream Manager Router, which is built upon another advanced conception ASA described in [3, 4, 5].

“Dimensionality reduction techniques address the “curse of dimensionality” by extracting new features from the data, rather than removing low-information features.” (Quote: https://www.sciencedirect.com/topics/mathematics/curse-of-dimensionality accessed April 24, 2022)

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References

  1. Zacher, S. (2014). Bus-approach for feedback MIMO-control. Verlag Dr. S. Zacher.

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  2. Zacher, S. (2021). Regelungstechnik mit Data Stream Management. Verlag Springer Vieweg. https://link.springer.com/book/10.1007/978-3-658-30860-5. Accessed 20 Jan 2022

  3. Zacher, S., & Reuter, M (2022). Regelungstechnik für Ingenieure. Verlag Springer Vieweg. https://link.springer.com/book/10.1007/978-3-658-36407-6. Accessed 10 Feb 2022

  4. Zacher, S. (2019). Bus-Approach for Engineering and Design of Feedback Control. Denver, CO, USA: Proceedings of ICONEST, October 7–10, 2019, published by ISTES Publishing, pp. 26–27

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  5. Zacher, S. (2020). Bus-Approach for Engineering and Design of Feedback Control. International Journal of Engineering, Science and Technology, 1(2), 16–24. https://www.ijonest.net/index.php/ijonest/article/view/9/pdf. Accessed Jan 2022

  6. Zacher, S., Saeed, W. (2010). Design of Multivariable Control Systems using Antisystem-Approach. AALE 2010, 11th–.12th February. ISBN 9-3-902759-00-9

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  7. Zacher, S. (2003). Duale Regelungstechnik. VDE Verlag.

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Correspondence to Serge Zacher .

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Zacher, S. (2022). Multivariable Control and Management. In: Closed Loop Control and Management. Springer, Cham. https://doi.org/10.1007/978-3-031-13483-8_10

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