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Anti-windup Compensator Synthesis

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Book cover Stability and Stabilization of Linear Systems with Saturating Actuators

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Abstract

This chapter is concerned with the presentation of several constructive linear, and possibly nonlinear anti-windup techniques. This chapter is mainly devoted to anti-windup techniques based on LMI conditions, sometimes named direct linear anti-windup (DLAW) in the literature. Another approach, namely model recovery anti-windup (MRAW), is also evoked. Both approaches are described from an algorithmic point of view, in order to illustrate their main features. In this way, theoretical conditions ensuring stability and performance, their applicability, their accompanying guarantees, and their merits and deficiencies are briefly discussed. The associated possible extensions to less standard problem settings are also discussed.

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Notes

  1. 1.

    For simplicity, the time dependence in the vector will be omitted.

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Authors and Affiliations

  1. Laboratoire Analyse et Architecture des Systèmes (LAAS), CNRS, av. du Colonel Roche 7, 31077, Toulouse CX 4, France

    Sophie Tarbouriech & Isabelle Queinnec

  2. Laboratoire Analyse et Architecture des Systèmes (LAAS), CNRS, av. du Colonel Roche, 31077, Toulouse CX 4, France

    Germain Garcia

  3. Departamento de Engenharia Elétrica, Universidade Federal do Rio Grande do Sul, av. Osvaldo Aranha 103, 90035-190, Porto Alegre, Rio Grande do Sul, Brazil

    João Manoel Gomes da Silva Jr.

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  1. Sophie Tarbouriech
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Tarbouriech, S., Garcia, G., Gomes da Silva, J.M., Queinnec, I. (2011). Anti-windup Compensator Synthesis. In: Stability and Stabilization of Linear Systems with Saturating Actuators. Springer, London. https://doi.org/10.1007/978-0-85729-941-3_7

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