直线二级倒立摆基于LMI算法的滑模鲁棒H∞控制
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内蒙古科技大学 信息工程学院 内蒙古 包头 014010,内蒙古科技大学 信息工程学院 内蒙古 包头 014010

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TP391.9

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Sliding mode and robust H∞ control based on LMI algorithm for linear double inverted pendulum
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School of information engineering,Inner Mongolia University of Science and Technology

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    摘要:

    倒立摆系统的控制研究一直是控制领域里经久不衰的课题,倒立摆系统是高阶次、自然不稳定系统,容易受到外界干扰或者自身一些不确定性因素的影响而失去稳定。若用传统的滑模控制难以实现系统具有全程鲁棒抗干扰能力,同时存在控制输入抖振的现象。对此,提出了滑模鲁棒状态反馈 控制,即设计了带有滑模面参数和状态反馈增益的复合控制器,将问题转化为通过线性矩阵不等式求解优化值的优化问题,优化了状态反馈增益和滑模面,使得整个闭环控制系统具有全局强鲁棒性的特点,并实现了削弱抖振的目的。仿真结果表明了该控制方法的有效性和可行性,并且具有较强的鲁棒性和响应速度快的优越性,对高阶次不稳定系统具有很好的控制效果。

    Abstract:

    Research on the control of inverted pendulum system has been enduring topic in the field of control, inverted pendulum system is a high order and naturally unstable system, it is susceptible to outside interference and some uncertain factors so that it loses its stable equilibrium. It is difficult to achieve the system’s global robust anti-jamming ability using the conventional sliding mode control, at the same time, there is the chattering phenomenon. Therefore, this paper puts forward sliding mode robust state feedback H control, that is to say a composite controller is designed with sliding surface parameters and the state feedback gain. The problem is converted into the optimization problem with linear matrix inequalities for solving the optimization value, then the state feedback gain and sliding mode surface are optimized, so that the whole closed-loop control system has the characteristics of fast response of the sliding mode control and robustness of robust control, and gets the global robustness, and getting the realization of the chattering weakened. The simulation results show the effectiveness and feasibility of this method, and it has strong robustness and fast response advantages and has a good control effect for high order unstable system.

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刘慧博,蔡蕊. 直线二级倒立摆基于LMI算法的滑模鲁棒H∞控制[J]. 科学技术与工程, 2014, 14(5): .
LIU Hui-bo, CAI Rui. Sliding mode and robust H∞ control based on LMI algorithm for linear double inverted pendulum[J]. Science Technology and Engineering,2014,14(5).

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  • 收稿日期:2013-09-10
  • 最后修改日期:2014-01-16
  • 录用日期:2013-10-21
  • 在线发布日期: 2014-02-28
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