nd or “direct” method in the adaptive control of nonlinear systems as an alternative approach the use'/>
Robust Fixed Point Transformations in Chaos synchronization
Due to the technical difficulties related to the practical application of Lyapunov''s 2nd or “direct” method in the adaptive control of nonlinear systems as an alternative approach the use of “Robust Fixed Point Transformations (RFPT)” were suggested on the basis of recent researches. Various application possibilities were revealed for the new controller and design for imprecisely and partially modeled fully and underactuated Classical Mechanical Systems, Electromechanical Systems by direct utilization and within the frames if the “Model Reference Controllers (MRAC)”. In the present paper a novel application, the synchronization of coupled, chaotic systems is considered. It is shown that besides the “traditional” problem tackling normally based on the use of Lyapunov functions the RFPT based approach can be successful, too. This statement is illustrated via simulation results for the synchronization of the Fitz-Hugh-Nagumo (FHN) neuron model.
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机译：由于与Lyapunov的2 n d或“直接”方法在非线性系统的自适应控制中的实际应用相关的技术难题，因此使用“鲁棒不动点变换（在最近的研究基础上提出了“ RFPT”）。对于新的控制器和设计，通过直接利用以及在框架内使用“模型参考控制器（MRAC）”，为不精确和部分建模的完全和欠驱动的古典机械系统，机电系统提供了各种应用可能性。在本文中，一种新颖的应用是考虑耦合混沌系统的同步。结果表明，除了通常基于使用Lyapunov函数来解决“传统”问题之外，基于RFPT的方法也可以成功。通过Fitz-Hugh-Nagumo（FHN）神经元模型同步的仿真结果可以说明这一说法。
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