A new design method for mismatch-based anti-windup compensators: Achieving local performance and global stability in the SISO case

Ortseifen, Andreas; Adamy, Jürgen

doi:10.1109/acc.2011.5990769

Cited by 13 publications

(12 citation statements)

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“…Note that some local conditions (size of initial state) have been given in [19] but they are extremely conservative and dependent on the (unknown) adaptive gains K * x and K * r -this is not a criticism of these results but a consequence of the difficulties of anti-windup when A is unknown and has unstable eigenvalues. We re-use the hydraulic actuator example from [23], but use an adaptive control law to control the system. The nominal adaptive control law was constructed according to equation (16) with Γ x = 2I 3 , Γ r = 2 and Q = I 3 in equation (28).…”

Section: Remarkmentioning

confidence: 99%

“…However, note that the control signal is somewhat oscillatory and of high magnitude. Figure 3 shows the behaviour of the system with input constraints of magnitudē u = 10.5 volts ( [23]) are introduced. In this case, the adaptive controller takes a long time to converge to steady state behaviour and it does so in a highly oscillatory manner; clearly the saturation limits cause the performance of the adaptive controller to degrade.…”

Section: Remarkmentioning

confidence: 99%

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Positiveμmodification as an anti-windup mechanism

Turner

2017

Systems & Control Letters

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This paper proposes a simple anti-windup mechanism for a model reference adaptive control scheme subject to saturation constraints. The anti-windup compensator has, in essence, the same structure as positive µ modification for the same class of systems. It is shown how this structure can, under certain circumstances, display characteristics similar to anti-windup schemes proposed for linear control systems. In particular, it is shown that if the (unknown) ideal control signal eventually lies within the control constraints, then the response of the adaptive control system will converge to that of the reference system -provided certain conditions are satisfied. The paper illustrates the challenge of designing anti-windup compensators for model-reference adaptive control systems.

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Section: Remarkmentioning

confidence: 99%

Section: Remarkmentioning

confidence: 99%

Positiveμmodification as an anti-windup mechanism

Turner

2017

Systems & Control Letters

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“…Die Kapitel 5 bis 9 enthalten die neuen Beiträge der Arbeit, die in Auszügen bereits in den Publikationen [147][148][149][150] veröffentlicht wurden. Kapitel 5 befasst sich mit einer systematischen Entwurfsmethode für die auf Hippe zurückgehende Beobachtertechnik eines modularen Anti-WindupKonzeptes [85].…”

Section: Gliederung Der Arbeitunclassified

Entwurf von modellbasierten Anti-Windup-Methoden für Systeme mit Stellbegrenzungen

Ortseifen

2014

At – Automatisierungstechnik

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“…and q [12] q [2] = Πū [1] ,ū [2] (u) (18) Clearly this involves the operator Πū [1] ,ū [2] : (. )R m → R 2m .…”

Section: A Non-square Sector Conditionmentioning

confidence: 99%

“…whereū [2] :=ū and signals q [1] and q [12] can be considered as outputs from the nonlinear operator Υū [1] ,ū [2] (.) : R m → R 2m which is defined as…”

Section: Problemmentioning

confidence: 99%

An alternative approach to anti-windup in anticipation of actuator saturation

Turner

Sofrony

Herrmann

2016

Int. J. Robust. Nonlinear Control

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SUMMARYTraditionally, an anti-windup compensator is activated when control signal saturation occurs. An alternative approach is to activate the compensator at a level below that of the physical control constraints: the antiwindup compensator is activated in anticipation of actuator saturation. Recent studies have proposed systematic methods for the construction of such anticipatory anti-windup compensators, but a pseudo-LPV representation of the saturated system has been central to these results. This paper approaches the anticipatory anti-windup problem for open-loop stable plants using a "non-square" sector condition which is associated with a combination of deadzone nonlinearities. The advantage of this approach is that it leads to synthesis routines which bear a close resemblance to those associated with traditional immediately activated anti-windup compensators. A by-product of this approach also appears to be that the arising compensators are better numerically conditioned. Some simulation examples illustrating the effectiveness of anticipatory anti-windup compensators and some comments on their wider use complete the paper.

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A new design method for mismatch-based anti-windup compensators: Achieving local performance and global stability in the SISO case

Cited by 13 publications

References 19 publications

Positiveμmodification as an anti-windup mechanism

Positiveμmodification as an anti-windup mechanism

Entwurf von modellbasierten Anti-Windup-Methoden für Systeme mit Stellbegrenzungen

An alternative approach to anti-windup in anticipation of actuator saturation

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