Two-stage anti-windup compensation for systems subject to actuator quantization and saturation

This paper proposes a two stage anti-windup compensation scheme for systems subject to both input saturation and input quantization. The paper makes two main contributions: (i) it proposes a new partitioning of the saturation/quantization nonlinearity; and (ii) it formulates and solves a two-stage a...

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Bibliographic Details
Published inInternational journal of control Vol. 98; no. 2; pp. 333 - 346
Main Authors Turner, M. C., Richards, C. M.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 01.02.2025
Taylor & Francis Ltd
Subjects
Actuators
Algorithms
Anti-windup compensation
Antiwindup compensators
Closed loops
Compensation
constrained control
Feedback control
Linear matrix inequalities
Nonlinearity
quantized control
Simulation
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Summary:This paper proposes a two stage anti-windup compensation scheme for systems subject to both input saturation and input quantization. The paper makes two main contributions: (i) it proposes a new partitioning of the saturation/quantization nonlinearity; and (ii) it formulates and solves a two-stage anti-windup problem on the basis of this partitioned nonlinearity. The anti-windup compensator contains two distinct elements: one to assuage the effects of quantization, the other to do the same when saturation occurs. Theoretical results provide conditions which must be satisfied in order for the two-stage anti-windup compensator to bestow stability on the resulting closed-loop system. These results are expressed as linear matrix inequalities and naturally lead to algorithms for anti-windup design. Simulation examples illustrate the effectiveness of the techniques.
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ISSN:0020-7179
1366-5820
DOI:10.1080/00207179.2024.2337228