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Adaptive prescribed performance tracking control for uncertain strict‐feedback Multiple Inputs and Multiple Outputs nonlinear systems based on generalized fuzzy hyperbolic model
Author(s) -
Yang ZhongJun,
Zong XueJun,
Wang GuoGang
Publication year - 2020
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.3182
Subject(s) - backstepping , control theory (sociology) , controller (irrigation) , nonlinear system , fuzzy logic , lyapunov function , constraint (computer aided design) , adaptive control , computer science , fuzzy control system , bounded function , stability (learning theory) , transient (computer programming) , mathematics , control (management) , artificial intelligence , machine learning , mathematical analysis , physics , geometry , quantum mechanics , agronomy , biology , operating system
Summary This article proposes an adaptive prescribed performance tracking control methodology for a class of strict‐feedback Multiple Inputs and Multiple Outputs nonlinear systems. A combination of backstepping technique and the generalized fuzzy hyperbolic model was used in recursive design of adaptive controller. A novel performance constraint function guarantees the tracking control performance. Lyapunov stability analysis proves that the designed controller can ensure the predefined transient and all signals within the closed‐loop systems are semiglobally uniformly ultimately bounded. In the end, simulation results illustrate the validity of the proposed approach.