Controllability of Singular Distributed Parameter Systems in the Sense of Mild Solution

Ge, Zhaoqiang; Ge, Xiao

doi:10.1007/s11424-020-9012-4

Cited by 3 publications

(1 citation statement)

References 7 publications

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“…At the same time, the system has static and dynamic characteristics, so the control problem of the system has complexity [30]. At present, there are few theoretical achievements on singular distributed parameter systems, which mainly involve studying the properties of the system itself [31][32] and the study on the control of the system as a controlled object [33][34][35].…”

Section: Introductionmentioning

confidence: 99%

D-Type Iterative Learning Control for Open Container Motion System With Sloshing Constraints

Li¹,

Hou

Yong³

2021

IEEE Access

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In this paper, the iterative learning control (ILC) problem is investigated for the motion system of an open container with sloshing constraints in industrial fluid packaging. Initially, a broader class of second-order in space and first-order in time linear time-invariant singular distributed parameter system is decomposed by analyzing the motion system of an open container with sloshing constraints. Meanwhile, to eliminate the influence of singular terms on the system, a closed-loop D-type ILC algorithm is designed, and the corresponding convergence conditions are manifested. Then the convergence of the control algorithm is proved strictly. The resulting tracking error of systems can converge to any small tracking accuracy. Finally, a numerical example is given to verify the convergence and effectiveness of the closed-loop D-type ILC algorithm.

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