Increasing The Convergence Speed of Robust Fixed Point Transformaton-based Adaptive Control by Steffensen's Method in SISO Case
文献类型： 会议论文
第一作者： Krisztián Kósi
作者： Krisztián Kósi 1 ; Atinga Awudu 2 ;
作者机构： 1.Doctoral School of Applied Informatics and Appplied Mathematics, Institute of Biomatics and Applied Artificial Intelligence (BMI) óbuda University, Budapest, Hungary
2.Doctoral School of Applied Informatics and Appplied Mathematics, Obuda University, Budapest, Hungary
关键词： SISO communication;Numerical simulation;Stability analysis;Adaptive control;Task analysis;Nonlinear systems;Oscillators
会议名称： IEEE Jubilee International Symposium on Intelligent Systems and Informatics
主办单位：
页码： 285-290
摘要： Steffensen invented a simple method to increase the convergence speed of the “Fixed Point Iteration (FPI)“-based root finding algorithm. The “Robust Fixed Point Transformation (RFPT)”-based adaptive nonlinear controller uses a similar fixed point iteration. In this paper possible increase in the speed of this controller by Steffensen's method was investigated. Via speeding up its convergence the tracking precision and stability properties of the RFPT-based approach can be improved. In the paper the “Single Input Single Output (SISO)” control problem is considered via numerical simulations for the “Type $Phi^{6}$ van der Pol Oscillator” that is a popular paradigm to represent strongly nonlinear systems with an unstable equilibrium state and nonlinear oscillations.
分类号： tp391
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