Abstract
This paper introduces a new class of controls that ensure an effect similar to that produced by conventional matching conditions between control and disturbance inputs in a linear system, but now for a broader class of such inputs. Namely, this is due to an application of piecewise-constant control functions with varying amplitudes, generated by approximations of “ideal controls,” which are linear combinations of delta functions and their higher order derivatives. Such a class allows to calculate feedback control solutions by solving problems of open-loop control, thus reducing the overall computation burden.
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Notes
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Symbol \(\mathop {\dot{-}}\) denotes the geometric (Minkowski) difference of the sets:
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Acknowledgments
This work is supported by the Russian Foundation for Basic Research (grants 12-01-00261-a, 12-01-31416-mol-a) and by the program State Support of the Leading Scientific Schools (grant NS-2239.2012.1).
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Kurzhanski, A.B., Daryin, A.N. (2016). Attenuation of Uncertain Disturbances Through Fast Control Inputs. In: Dimirovski, G. (eds) Complex Systems. Studies in Systems, Decision and Control, vol 55. Springer, Cham. https://doi.org/10.1007/978-3-319-28860-4_25
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DOI: https://doi.org/10.1007/978-3-319-28860-4_25
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