Abstract
In the last few years, the solution of the H ∞ (sub)optimal control problem via state-space methods was developed by several authors (see, e.g. the prize-winning paper [1], the theses [2] [3] and the recent paper [4]). In the state-space formulation, the problem of minimizing the H ∞ norm (or, equivalently, the L 2gain) of a closed loop system is viewed as a two-person, zero sum, differential game and, thus, the existence of the desired controller can be related to the existence of a solution of the algebraic Riccati equations arising in linear quadratic differential game theory (see, e.g. [5], [6] and [7]).
Work supported in part by MURST, by NSF under grant ECS-9208306 and by AFOSR under grant 91-0266
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Isidori, A. (1994). New Results on Nonlinear H∞-Control via Measurement Feedback. In: Başar, T., Haurie, A. (eds) Advances in Dynamic Games and Applications. Annals of the International Society of Dynamic Games, vol 1. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0245-5_3
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DOI: https://doi.org/10.1007/978-1-4612-0245-5_3
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