The control of rogue wave in the mid-infrared supercontinuum with seed time delay

Liu, Shuo; He, Zhiyuan; Feng, Yi; Liu, Fengxiao; Lv, Jiaqi; Zhao, Shourong; Li, Qi; Cui, Can

doi:10.1007/s11071-022-08223-7

Cited by 2 publications

(1 citation statement)

References 50 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The stability of a system is severely limited by the nonlinear effects introduced by time delay, which can lead to unpredictable transient responses of the controlled system. Consequently, it is necessary to devise an appropriate control method to tackle the problem of time delay [4,5]. In recent decades, an adaptive backstepping control has gained significant popularity in nonlinear control systems, particularly in time delay systems.…”

Section: Introductionmentioning

confidence: 99%

Adaptive output feedback command filter controlbased on extreme learning machine for nonaffine time delay systems with input saturation

Zhu,

2024

Preprint

View full text Add to dashboard Cite

This paper is concerned with extreme learning machine (ELM)-approximation-based command filter control for nonaffine pure-feedback time delay systems with input saturation. To begin with, a mean value theorem and an implicit function theorem are exploited to transform the system under consideration into an affine form. Afterwards, a state observer is developed to estimate the state variables that cannot be measured directly. By using the approximation capability and inherent adaptive features of an ELM, the unknown functions in time delay systems are successfully solved. The outputs of the command filter are applied to approximate the virtual control signals’ derivative, thereby circumventing the problem of "explosion of complexity" that can occur due to the presence of multiple differentiation of the virtual control signals. Meanwhile, the compensation signals are introduced to eliminate the filtering errors in a dynamic surface control (DSC). The Lyapunov-Krasovskii functionals are utilized to mitigate the time delay terms. An error constraint transformation method is consumed to guarantee the fulfillment of prescribed performance for a tracking error. Combining a prescribed performance control (PPC) with a command filter control, the target of a tracking error converges to a prescribed arbitrary small interval can be realized. Additionally, the effect of input saturation is eliminated with the aid of an auxiliary system. Finally, the effectiveness of the presented control approach is further proved by taking an electromechanical system as an application object.

show abstract

Section: Introductionmentioning

confidence: 99%

Adaptive output feedback command filter controlbased on extreme learning machine for nonaffine time delay systems with input saturation

Zhu,

2024

Preprint

View full text Add to dashboard Cite

show abstract

Soliton colliding in hybrid glass photonic crystal fiber for optical transistor switching

Yang,

Zhao,

et al. 2024

Nonlinear Dyn

View full text Add to dashboard Cite

The control of rogue wave in the mid-infrared supercontinuum with seed time delay

Cited by 2 publications

References 50 publications

Adaptive output feedback command filter controlbased on extreme learning machine for nonaffine time delay systems with input saturation

Adaptive output feedback command filter controlbased on extreme learning machine for nonaffine time delay systems with input saturation

Soliton colliding in hybrid glass photonic crystal fiber for optical transistor switching

Contact Info

Product

Resources

About