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The Application of Grey Prediction Method in Multi-order Nonlinear Control System

机译:灰色预测方法在多阶非线性控制系统中的应用

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摘要

The system with partial unknown structure, parameters, and characteristics is called a grey system. The grey system theory can be employed to improve the control performance of a system without sufficient information or with highly nonlinear property. In this paper, grey system theory is introduced into sliding mode control of high order nonlinear system and a novel grey fuzzy sliding mode controller is developed. In this controller design, grey prediction model combined with fuzzy reasoning is proposed to obtain sliding mode control strategy. The controller can drive the state from an arbitrary initial point of state to the origin along a sliding mode hyper plane quickly an reduce the vibration phenomenon that is caused by switching delay brought by system inertia. Grey system theory is the efficient tool in the analysis an control of nonlinear, uncertain systems.
机译:具有部分未知结构,参数和特性的系统称为灰色系统。灰色系统理论可用于在没有足够信息或具有高度非线性特性的情况下改善系统的控制性能。本文将灰色系统理论引入到高阶非线性系统的滑模控制中,并开发了一种新型的灰色模糊滑模控制器。在该控制器设计中,提出了结合模糊推理的灰色预测模型以获得滑模控制策略。控制器可以沿着滑动模式超平面将状态从任意初始状态驱动到原点,从而减少了由系统惯性带来的切换延迟引起的振动现象。灰色系统理论是分析非线性不确定系统控制的有效工具。

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