Abstract
One of the important recent developments in control theory has been the recognition of the close relationship that exists between H ∞-optimal control problems, (originally formulated in the frequency domain [1] [2], and then extended to state space formulations [3] [4] [5] [6] [7] [8]) and a class of linear-quadratic differential games [9] [10] [11] [12] [13], which has not only led to simpler derivations of existing results on the former, but also enabled us to develop worst-case (H ∞-optimal) controllers under various information patterns, such as (in addition to perfect and imperfect state measurements) delayed state and sampled state measurements [14] [15]. An up-to-date coverage of this relationship and the derivation of H ∞-optimal controllers under different information patterns can be found in the recent book [16], which also contains an extensive list of references on the topic.
Research supported in part by the National Science Foundation under Grant ECS 91-13153, and in part by the U.S. Department of Energy under Grant DE-FG-02-88-ER-13939.
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Pan, Z., Başar, T. (1994). H∞-Optimal Control of Singularly Perturbed Systems with Sampled-State Measurement. 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_2
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DOI: https://doi.org/10.1007/978-1-4612-0245-5_2
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