NDLI: Adaptive gains of dual level to super-twisting algorithm for sliding mode design

Content Provider	IET Digital Library
Author	Luo, Dong Xiong, Xiaogang Jin, Shanghai Kamal, Shyam
Abstract	A gain-adaption mechanism of a dual level to the super-twisting algorithm (STA) for adaptive sliding mode design is studied. The proposed dual level method first tunes a third-order sliding mode observer to exactly estimate the magnitude level of external disturbances, and then adjusts the two gains ( α , β ) of STA online simultaneously such that a second-order sliding mode can take place with small rectifying gains. The gains of the third-order sliding mode observer are adjusted by exploring the homogeneous property such that only one auxiliary parameter L is needed to be tuned. The magnitude of this parameter L increases until the error between the observer output and actual disturbance disappears. While driving the sliding variable to the sliding mode surface of STA, one gain β of the STA automatically converges to an adjacent area of the perturbation magnitude in finite time. The other gain α is adjusted by the gain β to guarantee the robustness of the STA. This method requires no intervention during adaptation. The usefulness is illustrated by an example of designing an equivalent control-based sliding mode control with the proposed adaptive STA for a perturbed linear time-invariant system.
Starting Page	2347
Ending Page	2356
Page Count	10
ISSN	17518644
Volume Number	12
e-ISSN	17518652
Issue Number	Issue 17, Nov (2018)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/12/17
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2018.5380
Journal	IET Control Theory & Applications
Publisher Date	2018-09-04
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Adaptive Control Adaptive Gain Adaptive STA Control System Analysis Control System Synthesis Dual Level Method External Disturbances Gain-adaption Mechanism Interpolation And Function Approximation Magnitude Level Mode Control Mode Design Multivariable Control System Numerical Analysis Observers Rectifying Gain Second-order Sliding Mode Sliding Mode Surface Sliding Variable STA Online Simultaneously Stability in Control Theory Super-twisting Algorithm Synthesis Method Third-order Sliding Mode Variable Structure System
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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