Design of Robust Adaptive Fuzzy Controller for a Class of Single-Input Single-Output (SISO) Uncertain Nonlinear Systems

In order to solve the precision and stability control problems of nonlinear uncertain systems applied in machining systems, in this paper, a robust adaptive fuzzy control technique based on Dynamic Surface Control (DSC) method is proposed for the generalized single-input single-output (SISO) uncerta...

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Bibliographic Details
Published in:Mathematical problems in engineering 2020, Vol.2020 (2020), p.1-11
Main Authors: Wang, Hao, Lu, Mingming, Zhou, Jiakang, Lin, Jieqiong, Yi, Allen
Format: Article
Language:English
Subjects:
Adaptive control
Closed loop systems
Control algorithms
Control stability
Control systems design
Control theory
Controllers
Cutting equipment
Design
Error analysis
Fuzzy control
Fuzzy logic
Fuzzy sets
Fuzzy systems
Low pass filters
Machining
Neural networks
Nonlinear control
Nonlinear systems
Robust control
SISO (control systems)
Three dimensional models
Tracking errors
Vibration
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Summary:In order to solve the precision and stability control problems of nonlinear uncertain systems applied in machining systems, in this paper, a robust adaptive fuzzy control technique based on Dynamic Surface Control (DSC) method is proposed for the generalized single-input single-output (SISO) uncertain nonlinear system. A first-order low-pass filter is introduced in each step of the traditional robust control method to overcome the “calculation expansion” problem, and Takagi–Sugeno (T-S) fuzzy logic system is applied to approximate an uncertain nonlinear function of unknown structure in the system. The designed robust adaptive fuzzy controller is applied to the 3D elliptical vibration cutting (3D EVC) device system model, and the effectiveness of the controller design is verified by analysis of position tracking, speed tracking, and tracking error. The results of studies show that the robust adaptive fuzzy controller can effectively suppress the jitter problem of the three-dimensional elliptical vibration cutting device so that the control object can be stabilized quickly even if it has a little jitter at the beginning. It can be smoothed to move along the ideal displacement and velocity signals. It is verified that the designed controller has strong robust adaptability.
ISSN:1024-123X
1563-5147
DOI:10.1155/2020/6178678