Predictor-Feedback Prescribed-Time Stabilization of LTI Systems With Input Delay

نویسندگان

چکیده

This article first deals with the problem of prescribed-time stability linear systems without delay. The analysis and design involve Bell polynomials, the generalized Laguerre Lah numbers, a suitable polynomial-based Vandermonde matrix. results can be used to new controller—with time-varying gains—ensuring stabilization controllable time-invariant (LTI) systems. approach leads similar compared Holloway et al. 2019, but offers an alternative compact control (especially for choice gains). Based on preliminary delay-free case, we then study LTI single input subject constant We predictor feedback gains. To achieve this, model delay as transport partial differential equation (PDE) build cascade PDE–ordinary setting (inspired by Krstic 2009) so is carried out based backstepping approach, which makes use time-varying kernels. guarantee bounded invertibility transformation, prove that closed-loop solution converges equilibrium in prescribed time. A simulation example illustrates results.

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ژورنال

عنوان ژورنال: IEEE Transactions on Automatic Control

سال: 2022

ISSN: ['0018-9286', '1558-2523', '2334-3303']

DOI: https://doi.org/10.1109/tac.2021.3093527