Discrete-time H2 and H∞ low-gain theory

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Wang, Xu and Stoorvogel, Anton A. and Saberi, Ali and Sannuti, Peddapullaiah (2011) Discrete-time H2 and H∞ low-gain theory. In: 18th IFAC World Congress 2011, 28 Aug - 2 Sep 2011, Milan, Italy (pp. pp. 11411-11416).

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Abstract:For stabilization of linear systems subject to input saturation, there exist four different approaches of low-gain design all of which are independently proposed in the literature, namely direct eigenstructure assignment, H2 and Hoo algebraic Riccati equation (ARE) based methods, and parametric Lyapunov equation based method. It is shown in Wang et al. [2010b] that for continuous-time linear systems, all these methods are rooted in and can be unified under two fundamental control theories, H2 and H∞ theory. In this paper, we extend such a result to a discrete-time setting. Both the H2 and Hoo ARE based methods are generalized to consider systems where all input channels are not necessarily subject to saturation, and explicit design methods are developed.
Item Type:Conference or Workshop Item
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Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/78316
Official URL:http://dx.doi.org/10.3182/20110828-6-IT-1002.03663
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