A New Robust Adaptive Control Method for Complex Nontriangular Nonlinear Systems

Lingrong Xue and Zhen-Guo Liu

Complexity, 2023, vol. 2023, 1-10

Abstract:

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.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:6628901

DOI: 10.1155/2023/6628901

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