Abstract
In this monograph, linear estimation and control problems for systems with i/o delays are investigated under both the H2 and H∞ performance criteria. The key to our development is re-organized innovation analysis in Krein spaces. The reorganized innovation analysis approach, which forms the basis of the monograph, will be presented in Chapter 2. Krein space theory including innovation analysis and projections which can be found in [30], plays an important role in dealing with the H∞ control and estimation problems as it provides a powerful tool to convert an H∞ problem into an H2 one under an appropriate Krein space. Thus, simple and intuitive techniques such as projections can be applied to derive a desired estimator or controller. For the convenience of discussions, in the rest of the monograph we shall first give a brief introduction to Krein space in this chapter.
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© 2007 Springer-Verlag Berlin Heidelberg
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(2007). Krein Space. In: Control and Estimation of Systems with Input/Output Delays. Lecture Notes in Control and Information Sciences, vol 355. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71119-3_1
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DOI: https://doi.org/10.1007/978-3-540-71119-3_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71118-6
Online ISBN: 978-3-540-71119-3
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