Introduction
In this chapter, a design method based on the resolution of equation XA + XBX = HX is proposed. Controllers working in a linear region of behavior are obtained. This region, which is asymmetric and polyhedral, is the largest one. A new topic, using the same approach, presented for the first time in this book, concerns the study of saturated singular linear systems. The controller design is developed upon the resolution of the algebraic equation XA + XBXE = HE also presented in this book. Two other techniques, allowing the design of unsaturating and saturating controllers by means of LMIs, are proposed. The corresponding regions of stability are only symmetric and of ellipsoid form.
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© 2012 Springer-Verlag London Limited
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Benzaouia, A. (2012). Saturated Linear Systems: Controller Design. In: Saturated Switching Systems. Lecture Notes in Control and Information Sciences, vol 426. Springer, London. https://doi.org/10.1007/978-1-4471-2900-4_2
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DOI: https://doi.org/10.1007/978-1-4471-2900-4_2
Publisher Name: Springer, London
Print ISBN: 978-1-4471-2899-1
Online ISBN: 978-1-4471-2900-4
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