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- W2119759697 abstract "In many cases an adaptive control must be implemented in discrete-time rather than continuous-time, aerospace applications. In the case of infinite-dimensional systems, the adaptive control theoretic problem becomes substantially different; we will emphasize those anomalies here. Given a linear discrete-time infinite dimensional plant on a Hilbert space and disturbances of known waveform but unknown amplitude and phase, we show that there exists a stabilizing discerete-time direct model reference adaptive control law with certain disturbance rejection and robustness properties. Our central result is a discrete-time version of Barbalat-Lyapunov result for infinite-dimensional Hilbert spaces. This is used to determine conditions under which a linear infinite-dimensional system can be directly adaptively regulated. Our results are illustrated on a system described by a compact self-adjoint operator; such a description fits many discrete-time applications." @default.
- W2119759697 created "2016-06-24" @default.
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- W2119759697 date "2013-06-01" @default.
- W2119759697 modified "2023-09-23" @default.
- W2119759697 title "Discrete-time infinite-dimensional adaptive control and rejection of persistent disturbances: To D or not to D?" @default.
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- W2119759697 doi "https://doi.org/10.1109/med.2013.6608849" @default.
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