Modelling and vibration control for a flexible string system in three‐dimensional space

He, Wei; Qin, Hui; Liu, Jinkun

doi:10.1049/iet-cta.2015.0237

Cited by 18 publications

(11 citation statements)

References 37 publications

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“…Invoking (23) and (57)-(59), we can derive that¯ is bounded, further indicating that u b (t) and are also bounded.…”

Section: Control Designmentioning

confidence: 83%

“…In recent decades, significant development of control of infinite dimensional flexible string systems has been achieved [22]- [31]. To mention a few, in [22], [23], boundary simultaneous controllers were devised for stabilizing three-dimensional (3D) vibrations of flexible string systems. In [24], the vibration of a stretched string system was suppressed via an iterative learning control scheme (ILCS).…”

Section: Introductionmentioning

confidence: 99%

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Boundary Control of a Vibrating String Subject to Input Saturation and Output Constraint

et al. 2020

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This paper presents a control framework of a vibrating flexible string system subject to input saturation and output constraint. By integrating the backstepping technique and Lyapunov theory, a smooth function, a Nussbaum function, a barrier function, and an auxiliary system are exploited to establish a constrained boundary control for tacking the output and input constraints as well as stabilizing the system. The derived control can assure the bounded stability in controlled systems depending on Lyapunov criteria. The simulation study and analysis verify the effectiveness of the presented scheme.

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“…Invoking (23) and (57)-(59), we can derive that¯ is bounded, further indicating that u b (t) and are also bounded.…”

Section: Control Designmentioning

confidence: 83%

Section: Introductionmentioning

confidence: 99%

Boundary Control of a Vibrating String Subject to Input Saturation and Output Constraint

et al. 2020

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“…There are a lot of literatures investigating the control problems of 3D flexible system. In the work of He et al, the control design and stability analysis are presented for a 3D string system with the payload dynamics. Do and Lucey and Do have presented a novel controller for a marine riser in 3D space.…”

Section: Introductionmentioning

confidence: 99%

“…With input disturbances, the control design and stability analysis are presented in the work of Liu et al for a 3D flexible manipulator system. In reviewing the literature, the systems in other works just have single link and are easy for modeling. While in this paper, we consider a two‐link rigid‐flexible manipulator system in 3D space, which exists a strong coupling relationship between the rigid link and flexible link.…”

Section: Introductionmentioning

confidence: 99%

Partial differential equation modeling and vibration control for a nonlinear 3D rigid‐flexible manipulator system with actuator faults

Cao

Liu

2019

Intl J Robust & Nonlinear

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In this paper, modeling and controlling problem for a two-link rigid-flexible manipulator in three-dimensional (3D) space is studied under actuator faults. For modeling, the dynamics of the 3D mechanical system is represented by nonlinear partial differential equations, which is first derived in infinite dimension form. Based on the nonlinear model, the controller is proposed, which can achieve joint angle control and vibration suppression control in the presence of actuator faults. The stability analysis of the closed-loop system is given based on LaSalle invariance principle. Numerical simulations illustrate the effectiveness of the proposed controller. This study will promote the development of nonlinear flexible manipulator systems in 3D space. KEYWORDS actuator faults, nonlinear PDE model, two-link rigid-flexible manipulator, 3D space Int J Robust Nonlinear Control. 2019;29:3793-3807.wileyonlinelibrary.com/journal/rnc

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“…There exists an extensive literature on the control of flexible beams described by PDEs in which the majority of the reported work deal with the stabilization problem by means of boundary control (see, e.g., [3], [6], [7], [8], [9], [10]). Placing actuators in the domain of the system will lead to inhomogeneous PDEs [3], [11], [12].…”

Section: Introductionmentioning

confidence: 99%

Flatness‐based deformation control of an Euler–Bernoulli beam with in‐domain actuation

Badkoubeh

Zheng

Zhu

2016

IET Control Theory & Applications

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This paper addresses the problem of deformation control of an Euler-Bernoulli beam with in-domain actuation. The proposed control scheme consists in first relating the system model described by an inhomogeneous partial differential equation to a target system under a standard boundary control form. Then, a combination of closed-loop feedback control and flatness-based motion planning is used for stabilizing the closed-loop system around reference trajectories. The validity of the proposed method is assessed through well-posedness and stability analysis of the considered systems. The performance of the developed control scheme is demonstrated through numerical simulations of a representative micro-beam.

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Modelling and vibration control for a flexible string system in three‐dimensional space

Cited by 18 publications

References 37 publications

Boundary Control of a Vibrating String Subject to Input Saturation and Output Constraint

Boundary Control of a Vibrating String Subject to Input Saturation and Output Constraint

Partial differential equation modeling and vibration control for a nonlinear 3D rigid‐flexible manipulator system with actuator faults

Flatness‐based deformation control of an Euler–Bernoulli beam with in‐domain actuation

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