Finite‐Time Observer‐Based Adaptive Control of Switched System with Unknown Backlash‐Like Hysteresis

Sun, Guang; Xu, Yaming

doi:10.1155/2019/3760401

Cited by 3 publications

(1 citation statement)

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Remark 4. Taking inspiration from [45], the vector β * i , i = 1, • • • , n is estimated at every step of the controller design in the aforementioned design process, rather than the weight vector…”

Section: State Observer Designmentioning

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: State Observer Designmentioning

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

Adaptive command filtered control for a class of nonlinear time delay systems with extreme learning machine

Zhu,

2024

Asian Journal of Control

View full text Add to dashboard Cite

In this paper, an extreme learning machine (ELM)‐based adaptive command filtered control method is investigated for a class of strict feedback nonlinear systems with unknown external disturbances and time delay. To begin with, the original system state equation is transformed into a new form on account of coordinate transformation. Subsequently, an ELM is adopted to approximate unknown functions which exist in the whole system states, without any prior knowledges of the ideal weight vectors and approximation errors. Secondly, a command filter is developed for the system under consideration, which can avoid the probem of “explosion of complexity” caused by repeated derivation of virtual control signals in traditional backstepping control. Meanwhile, error compensation signals are designed to conquer the shortcoming of a dynamic surface control (DSC) method. The combination of ELM and command filter technique has been used to construct corresponding controllers and adaptive laws. Effective handling of the impact of time delay terms is ensured through designing a novel Lyapunov–Krasovskii functional. The proposed strategy guarantees boundedness of all signals in the closed‐loop system and the tracking error asymptotically converges to a compact set around the origin. In the end, two continuous stirred tank reactors (CSTRs) are taken as example to further verify the efficiency of the put forward control method.

show abstract

Data-driven adaptive control of wide-area non-linear systems with input and output saturation: A power system application

Asadi

Farsangi

Bijami

et al. 2021

International Journal of Electrical Power & Energy Systems

View full text Add to dashboard Cite

Finite‐Time Observer‐Based Adaptive Control of Switched System with Unknown Backlash‐Like Hysteresis

Cited by 3 publications

References 39 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

Adaptive command filtered control for a class of nonlinear time delay systems with extreme learning machine

Data-driven adaptive control of wide-area non-linear systems with input and output saturation: A power system application

Contact Info

Product

Resources

About