Simple globally stabilising anti-windup designs for systems with rate-limits

Sofrony, Jorge, Turner, Matthew C. and O'Brien, Richard T. (2018) Simple globally stabilising anti-windup designs for systems with rate-limits. In 2018 UKACC 12th International Conference on Control, CONTROL 2018. IEEE. pp. 7-12 . (doi:10.1109/CONTROL.2018.8516867).

Abstract

This paper develops an anti-windup scheme for stable linear systems subject to rate-limited control inputs. The main contribution of the paper is a simple condition that guarantees the existence of a family of globally stabilising anti-windup compensators. The approach is a natural development of an existing, tried-and-tested scheme, with the supplemental property of global asymptotic stability. It is also shown that IMC-like anti-windup compensators appear as special cases of the more general design procedure and, moreover, that these compensators guarantee external, as well as internal, stability. An example illustrates the results.

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