A "fundamental lemma" for continuous-time systems, with applications to data-driven simulation

被引：8
|
作者：
Rapisarda, P. [1 ]
Camlibel, M. K. [2 ]
van Waarde, H. J. [2 ]
机构：
[1] Univ Southampton, Sch Elect & Comp Sci, Southampton, England
[2] Univ Groningen, Bernoulli Inst Math Comp Sci & Artificial Intellig, Groningen, Netherlands
来源：
SYSTEMS & CONTROL LETTERS | 2023年 / 179卷
关键词：
Persistency of excitation; Continuous-time linear time-invariant; systems; Chebyshev polynomials; Data-driven simulation; PERSISTENCY;
D O I：
10.1016/j.sysconle.2023.105603
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We are given one input-output (i-o) trajectory (u, y) produced by a linear, continuous time-invariant system, and we compute its Chebyshev polynomial series representation. We show that if the input trajectory u is sufficiently persistently exciting according to the definition in Rapisarda et al. (2023), then the Chebyshev polynomial series representation of every i-o trajectory can be computed from that of (u, y). We apply this result to data-driven simulation of continuous-time systems.& COPY; 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
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页数：9
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