Object

Title: Optimal iterative learning control design for continuous-time systems with nonidentical trial lengths using alternating projections between multiple sets

Abstract:

Iterative learning control (ILC) applies to systems that repeat the same finite duration task repeatedly. Each repetition is usually termed as a trial, and the associated duration is called the trial length. Once a trial is completed, all information is available for use in updating the control input for the subsequent trial. The vast majority of the currently available designs demand a strictly identical trial length. ; This paper gives a new result on the design and analysis for continuous-time linear dynamics based on a modified alternating projection method, where the trial lengths may be nonidentical. This result employs multiple sets to represent the actual varying trial length dynamics and is developed by reformulating the problem to one that minimizes the defined distance in a Hilbert space setting. ; Compared to the standard alternating projections using two sets, the theory of alternating projections between multiple sets is employed to obtain deterministic convergence result for the nonidentical trial length problem. A numerical case study is also given to illustrate the application of the new design.

Opis:

artykuł zamieszczony w: "Journal of the Franklin Institute", Volume 360, Issue 5

Format:

application/pdf

Identyfikator zasobu:

oai:zbc.uz.zgora.pl:76400

DOI:

10.1016/j.jfranklin.2023.02.006

Strony:

3825-3848

Jezyk:

eng

Licencja:

CC 4.0

Licencja CC BY 4.0:

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Prawa do dysponowania publikacją:

Biblioteka Uniwersytetu Zielonogórskiego

Object collections:

Last modified:

23 sty 2026

In our library since:

19 paź 2023

Number of object content hits:

240

All available object's versions:

https://zbc.uz.zgora.pl/repozytorium/publication/84032

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