Prescribed Performance Synchronization Control of Chaotic Systems with Unknown Control Gain Signs
Author(s) -
Ma Xin,
Fang Zhu
Publication year - 2021
Publication title -
journal of control science and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.208
H-Index - 18
eISSN - 1687-5257
pISSN - 1687-5249
DOI - 10.1155/2021/5160768
Subject(s) - control theory (sociology) , synchronization (alternating current) , chaotic , control (management) , nonlinear system , lyapunov function , computer science , fuzzy logic , function (biology) , range (aeronautics) , chaotic systems , fuzzy control system , mathematics , engineering , artificial intelligence , computer network , channel (broadcasting) , physics , quantum mechanics , evolutionary biology , biology , aerospace engineering
For a class of uncertain nonlinear chaotic systems with unknown control gain signs and saturated input, by means of Nussbaum function, a scheme of finite-time prescribed performance synchronization control is proposed. Here, Nussbaum function is used to eliminate the influence of unknown control gain signs, and fuzzy logic systems are used to estimate unknown functions. Lyapunov theory is used to prove that all synchronization errors converge to a predefined small performance range under the designed control method. Finally, simulation results are provided to illustrate the feasibility of the proposed method.
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