Abstract
This article proposes a linear dynamic anti-windup strategy for the alleviation of performance and stability problems in systems which are linear apart from saturating sensors. Unlike anti-windup compensation for systems subject to actuator saturation, there is no agreed architecture for applying anti-windup to systems with sensor saturation and therefore attention is devoted to the discussion of various candidate configurations which can be interpreted as a particular choice of a static non-linear map. The main results of the article give existence conditions for compensators which yield global exponential stability and finite ℒ2 gain of the overall non-linear closed-loop system. The existence conditions are different to those which have appeared hitherto in the literature.
Highlights
The stability and performance problems associated with actuator saturation are well known to control engineers and have been responsible for a broad, sustained study in this area by the research community
The study of systems in which saturation of the sensor is the chief concern is less developed, with only a few papers devoted to this topic [22, 14, 11, 13, 2, 10]. This frugal treatment in the literature is perhaps due to the less frequent occurrence of sensor saturation, as it too introduces a nonlinearity into largely linear control loops, it is easy to see that it poses similar performance and stability issues
When the anti-windup compensator is chosen to be of order np or zero, Theorem 1 gives matrix inequalities which can be checked for existence
Summary
The stability and performance problems associated with actuator saturation are well known to control engineers and have been responsible for a broad, sustained study in this area by the research community. The study of systems in which saturation of the sensor is the chief concern is less developed, with only a few papers devoted to this topic [22, 14, 11, 13, 2, 10]. This frugal treatment in the literature is perhaps due to the less frequent occurrence of sensor saturation, as it too introduces a nonlinearity into largely linear control loops, it is easy to see that it poses similar performance and stability issues. One interesting feature in [14] was that the existence of a (one-step) controller ensuring global stability of the (nonlinear) closed-loop
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