International Journal of Control

2018

DOI: 10.1080/00207179.2018.1487084

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Stabilisation of an anti-stable joint string with boundary disturbance

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□ Theorem 1 If |R| and | _1

Introduction1

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Cited by 6 publications

(2 citation statements)

References 23 publications

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“…In this section, we compute the state for the closed-loop system (39) by the finite difference method [19]. Here,…”

Section: □ Theorem 1 If |R| and | _mentioning

confidence: 99%

“…So, we are also concerned with the disturbance for the model. Sliding mode control and active disturbance rejection control (ADRC) are usually used to reject the disturbance [13][14][15][16][17][18][19]. ADRC is used in this paper.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Boundary Stabilization of Underground Multirobot System with Virtual String Constraints

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et al. 2022

Journal of Mathematics

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The manipulation of multiple physical connected objects can be described by virtual connected string system. We proposed a Lyapunov-based stabilization control approach for virtual connected string with midway discontinue vertical force. The system is with Riemannian boundary. We use the backstepping method to transform the system into a stable system with Dirichlet boundary. In this way, we get the controller to make sure the closed-loop system converge to the zero point exponentially. Then, we construct a Lyapunov function to analyze the stability for the closed-loop system. We also show the system is well-posedness. Also, we use the active disturbance rejection control (ADRC) to reject the disturbance when disturbance is present. Some numerical stimulations show that the control law is the effective.

“…In this section, we compute the state for the closed-loop system (39) by the finite difference method [19]. Here,…”

Section: □ Theorem 1 If |R| and | _mentioning

confidence: 99%

“…So, we are also concerned with the disturbance for the model. Sliding mode control and active disturbance rejection control (ADRC) are usually used to reject the disturbance [13][14][15][16][17][18][19]. ADRC is used in this paper.…”

Section: Introductionmentioning

confidence: 99%

Boundary Stabilization of Underground Multirobot System with Virtual String Constraints

¹

,

²

,

³

et al. 2022

Journal of Mathematics

Self Cite

View full text Add to dashboard Cite

The manipulation of multiple physical connected objects can be described by virtual connected string system. We proposed a Lyapunov-based stabilization control approach for virtual connected string with midway discontinue vertical force. The system is with Riemannian boundary. We use the backstepping method to transform the system into a stable system with Dirichlet boundary. In this way, we get the controller to make sure the closed-loop system converge to the zero point exponentially. Then, we construct a Lyapunov function to analyze the stability for the closed-loop system. We also show the system is well-posedness. Also, we use the active disturbance rejection control (ADRC) to reject the disturbance when disturbance is present. Some numerical stimulations show that the control law is the effective.

Modelling and stabilization of coupled vibrating metamorphotic constraints: application in underground multirobot transportation planning

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et al. 2023

J Braz. Soc. Mech. Sci. Eng.

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Stabilization of two coupled wave equations with joint anti-damping and non-collocated control

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et al. 2022

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No abstract

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