A New Robust Adaptive Control Method for Complex Nontriangular Nonlinear Systems

The existing research studies on adaptive control frequently introduce many parameter estimations and lead to a complicated controller. This paper investigates the robust regulation issue for high-order system and plants to raise a new approach for adaptive control. Specifically, the considered syst...

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Bibliographic Details
Published in:Complexity (New York, N.Y.) N.Y.), 2023, Vol.2023, p.1-10
Main Authors: Xue, Lingrong, Liu, Zhen-Guo
Format: Article
Language:English
Subjects:
Adaptive control
Algorithms
Closed loops
Control algorithms
Control methods
Controllers
Design
Dynamical systems
Feedback control
Fuzzy systems
Methods
Nonlinear systems
Parameter estimation
Robust control
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Summary:The existing research studies on adaptive control frequently introduce many parameter estimations and lead to a complicated controller. This paper investigates the robust regulation issue for high-order system and plants to raise a new approach for adaptive control. Specifically, the considered system has odd system power, nontriangular form, and external disturbance. By introducing the transformations of a parameter estimation, the studied system is transformed into a new dynamic system. By employing fuzzy systems and some inequality skills, the appropriate bounds of nonlinear terms are established. Based on the adaptive method and homogeneous control, a recursive control design algorithm is provided to construct a new adaptive controller, which dominates those uncertain bounds and guarantees that the closed-loop system is semiglobally uniformly ultimately bounded (SUUB). The constructed controller employs only one adaptive law and has a much simpler form. Simulation examples verify the validness of the presented method.
ISSN:1076-2787
1099-0526
DOI:10.1155/2023/6628901