Abstract
In this chapter, the effectiveness of the Lyapunov redesign is investigated side by side for the adaptive identification of linear time-delay and distributed parameter systems using Razumikhin and Krasovskii extensions. Identifiability analysis and model reference adaptive control synthesis are proposed for linear time-delay systems with delayed states, control inputs and measured outputs and for parabolic distributed parameter systems with a scalar spatial variable. Sufficiently rich inputs, necessary to identify unknown plant parameters, are specified for both time-delay and distributed parameter systems in question. The theory is supported by numerical studies of engine transient fuel identification and that of heat process with boundary sensing and actuation.
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Orlov, Y. (2020). Lyapunov Approach to Adaptive Identification and Control in Infinite-Dimensional Setting. In: Nonsmooth Lyapunov Analysis in Finite and Infinite Dimensions. Communications and Control Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-37625-3_7
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DOI: https://doi.org/10.1007/978-3-030-37625-3_7
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