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Designing of proportional sliding mode controller for linear one stage inverted pendulum

机译:线性一级倒立摆的比例滑模控制器设计。

摘要

The control of Inverted Pendulum (IP) is a hugely complex task. A great deal of nonlinearity is present inherently and as well as affected by the surrounding external conditions. The sliding mode controller (SMC) is very robust inherently. It is used in this paper to control the IP. This paper examines the designing of sliding mode controller (SMC) for a linear inverted pendulum (IP). The paper highlights the important features of the sliding mode and also throws ample lights on the designing guidelines. The paper puts special impetus on the mathematical modeling of the controller. The robustness of the design of SMC with proportional control is amply displayed with the help of simple mathematics. It gives rise to a controller which can control a highly nonlinear system like IP quite efficiently. The performance of the SMC is compared with fuzzy and PID controller. The edge this controller poses is the key aspect of this paper. External disturbances and internal inaccuracies are also introduced to the system to bring out the robustness of the controller to the fore. Background on sliding mode and the pendulum are provided. Simulation results are displayed in a vivid manner and explained suitably.
机译:倒立摆(IP)的控制是一项非常复杂的任务。固有地存在大量非线性,并且受周围外部条件的影响。滑模控制器(SMC)本质上非常强大。本文使用它来控制IP。本文研究了线性倒立摆(IP)的滑模控制器(SMC)的设计。本文重点介绍了滑动模式的重要功能,并在设计准则上提供了很多建议。本文对控制器的数学建模给予了特殊的推动。借助简单的数学原理,可以充分显示具有比例控制的SMC设计的稳健性。这就产生了一种控制器,该控制器可以非常有效地控制IP等高度非线性的系统。将SMC的性能与模糊和PID控制器进行比较。该控制器构成的边缘是本文的重点。系统还引入了外部干扰和内部误差,以突出控制器的坚固性。提供了滑动模式和摆的背景。模拟结果以生动的方式显示并适当地说明。

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