Abstract
At present, there is no effective controller synthesis algorithm for solving delay-dependent stabilization problems, even for the simple situation of statefeedback; for output feedback, the problem is even more difficult. It is possible to use model transformations I and II to derive an LMI-based controller synthesis algorithm. However, as mentioned in [1,2], they add eigenvalues to the system, with the result that the transformed system is not equivalent to the original one. Thus, they have been abandoned in favor of model transformations III and IV, for which an NLMI is used to design a controller in synthesis problems.
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(2010). Stabilization of Systems with Time-Varying Delay. In: Stability Analysis and Robust Control of Time-Delay Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03037-6_6
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DOI: https://doi.org/10.1007/978-3-642-03037-6_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03036-9
Online ISBN: 978-3-642-03037-6
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