Flexible Robust Control Strategy for Synchronization of Uncertain Non-Linear Systems with Control Input Non-Linearity

Vannick Fopa Mawamba, A. S. T. Kammogne, Jacques Kengne, Martin Siewe Siewe
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Abstract

A robust global fuzzy sliding mode controller is designed in this paper for the synchronization of non-linear systems with control input non-linearities (CIN) and uncertainties. A consistent global fuzzy sliding mode control (GFSMC) law is developed, which guarantees the suppression of the reaching phase and the presence of the sliding phase from the initial time. Chattering phenomenon, which is characteristic of customary sliding mode control (SMC), avoided by the on-line fuzzy regulation of the sliding surface in the controller, when the system is subject to disturbances and CIN. Finite-time boundedness (FTB) properties are designed with adequate conditions, which are entrenched in terms of linear matrix inequalities (LMIs) with the help of cost and Lyapunov functions. Numerical simulations for the synchronization problem of the chaotic modified Colpitt’s system and Duffing system clearly show the good performance of the proposed control scheme. The present work provides a regular procedure to design GFSMC for a class of non-linear systems with CIN.
具有控制输入非线性的不确定非线性系统同步化的灵活鲁棒控制策略
本文为具有控制输入非线性(CIN)和不确定性的非线性系统的同步设计了一种稳健的全局模糊滑模控制器。本文开发了一种一致的全局模糊滑动模态控制(GFSMC)法则,它能保证从初始时间起就抑制到达阶段和存在滑动阶段。当系统受到干扰和 CIN 影响时,通过对控制器中的滑动面进行在线模糊调节,避免了传统滑模控制(SMC)所特有的颤振现象。在成本和 Lyapunov 函数的帮助下,有限时间有界性(FTB)特性的设计具有充分的条件,这些条件通过线性矩阵不等式(LMI)得到了巩固。对混沌修正科尔皮特系统和达芬系统同步问题的数值模拟清楚地表明了所提控制方案的良好性能。本研究为一类具有 CIN 的非线性系统提供了设计 GFSMC 的常规程序。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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