Abstract
We continue here with the theme of simultaneous internal and external stabilization in the presence of non-input-additive disturbances. As discussed in Chap. 13, for such non-input-additive disturbances, L p stabilization with finite gain is impossible, but L p stabilization without finite gain is always attainable via a nonlinear dynamic low-gain feedback law for all p ∈ [1, ∞) (i.e., for all disturbances whose “energy” vanishes asymptotically). In the case of open-loop neutrally stable system, this can be done via a linear state feedback law.
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Saberi, A., Stoorvogel, A.A., Sannuti, P. (2012). Simultaneous internal and external stabilization in the presence of a class of non-input-additive sustained disturbances: continuous time. In: Internal and External Stabilization of Linear Systems with Constraints. Systems & Control: Foundations & Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4787-2_15
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DOI: https://doi.org/10.1007/978-0-8176-4787-2_15
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