Windup Prevention in the Joint Presence of Input and Output Saturation—The MIMO Case

Hippe P (2021)


Publication Type: Book chapter / Article in edited volumes

Publication year: 2021

Publisher: Springer Science and Business Media Deutschland GmbH

Edited Volumes: SpringerBriefs in Applied Sciences and Technology

Series: SpringerBriefs in Applied Sciences and Technology

Pages Range: 61-90

DOI: 10.1007/978-3-030-73133-5_5

Abstract

The problems discussed in Chap. 4 for SISO systems also apply to MIMO systems, of course. For MIMO systems, an additional problem occurs, namely, that of deadlock. If disturbances drive all inputs and outputs past their saturation limits, it can happen that all or some of the inputs and outputs remain saturated even after the disturbances have vanished. The danger of deadlock depends on the static gain of the system. There are systems with a slight and a strong tendency for deadlock. If the system has only a slight tendency for deadlock, a stabilizing control can often be constructed, though the achievable dynamics are not as good as in systems without this tendency. A strong tendency for deadlock can prevent the existence of a stabilizing control. A collection of examples demonstrates this tendency. Deadlock, especially in systems with only a slight tendency for it, only occurs for very specific relative values of the input and output saturation limits. Therefore, a method is suggested how these values can be obtained in a systematic manner.

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How to cite

APA:

Hippe, P. (2021). Windup Prevention in the Joint Presence of Input and Output Saturation—The MIMO Case. In SpringerBriefs in Applied Sciences and Technology. (pp. 61-90). Springer Science and Business Media Deutschland GmbH.

MLA:

Hippe, Peter. "Windup Prevention in the Joint Presence of Input and Output Saturation—The MIMO Case." SpringerBriefs in Applied Sciences and Technology. Springer Science and Business Media Deutschland GmbH, 2021. 61-90.

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