Design of a Global Sliding Mode Controller Using Hyperbolic Functions for Nonlinear Systems and Application in Chaotic Systems

Mojtaba Hadi Barhaghtalab, Saleh Mobayen, Farshad Merrikh-Bavat
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引用次数: 4

Abstract

In this research, an LMI-based global sliding mode controller law with a novel switching function for the sliding surface using hyperbolic functions is presented and is used for stabilization and robustness of three-dimensional nonlinear systems with uncertainty. The asymptotic stability of the system's state variables is guaranteed by Linear Matrix Inequality (LMI) and furthermore, considering the uncertainty and nonlinear terms, the reaching phase of the sliding surface is deleted. Finally, the proposed control technique is implemented on Genesio-Tesi chaotic system and the results of the simulation are analyzed.
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基于双曲函数的非线性系统全局滑模控制器设计及其在混沌系统中的应用
本文提出了一种基于lmi的全局滑模控制器律,该律具有新颖的双曲函数滑模曲面切换函数,并用于具有不确定性的三维非线性系统的镇定和鲁棒性控制。利用线性矩阵不等式(LMI)保证了系统状态变量的渐近稳定性,并考虑了不确定性和非线性项,删除了滑动面到达相位。最后,将所提出的控制技术应用于Genesio-Tesi混沌系统,并对仿真结果进行了分析。
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