2020
DOI: 10.1002/rnc.5191
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Iterative learning control for one‐sided Lipschitz nonlinear singular conformable differential equations

Abstract: This article contributes to a detailed convergence analysis of iterative learning control for singular conformable differential equations with one-sided Lipschitz nonlinearity. In order to track the desired reference trajectory in a finite time interval, a closed-loop D-type learning update law is proposed for such nonlinear systems. Here, the strict convergence analysis is derived under the condition of identical initial state. A numerical example is provided to verify the effectiveness of the proposed contro… Show more

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Cited by 7 publications
(5 citation statements)
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“…For high precision control of pointing or attitude maneuver, a series of nonlinear control methods have been studied for the nonlinear and coupled system, such as: robust control, 8 sliding mode control, 9,10 backstepping control, [11][12][13] and iterative learning control. 14,15 These control methods are efficient in addressing unbalance and uncertainties in multibody spacecraft. References 1 and 2 conducted study on the sliding mode control system.…”
Section: F I G U R E 2 Working Sequence Of Rotating Payload Optical S...mentioning
confidence: 99%
“…For high precision control of pointing or attitude maneuver, a series of nonlinear control methods have been studied for the nonlinear and coupled system, such as: robust control, 8 sliding mode control, 9,10 backstepping control, [11][12][13] and iterative learning control. 14,15 These control methods are efficient in addressing unbalance and uncertainties in multibody spacecraft. References 1 and 2 conducted study on the sliding mode control system.…”
Section: F I G U R E 2 Working Sequence Of Rotating Payload Optical S...mentioning
confidence: 99%
“…The continuous pursuit of achieving precise robotic movement with minimal error has been a central focus of research. Extensive investigations into the Seiko D-Tran RT3200 robotic manipulator [50], [53], [59], [69], [70] have paved the way for the development of ILC [40], [71], [72], and repetitive control systems (RC), aiming to minimize the RMSE within the system. This research specifically utilized the system equation of the Seiko D-Tran RT3200 robotic manipulator to formulate an effective control system.…”
Section: Introductionmentioning
confidence: 99%
“…Basic ILC implementation is typically in the form of a P-type ILC. The learning gain is applied as a 1-dimension or first-order ILC [28], [29]. A dual design iterative learning control (Dual design ILC) [30], which has an idea from the previous works.…”
Section: Introductionmentioning
confidence: 99%