Design of a Robust Discrete Time Sliding Mode Controller With Dynamic Switching Gain

S. R. Shiledar, G. Malwatkar
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Abstract

The discrete time sliding mode control (DTSMC) is the prominent robust control technique used in the field of control engineering. In this work, a modified adaptive switching gain for DTSMC technique is proposed. The proposed method is compared with prevalent control laws and recently designed dynamic adaptive switching gain control law. The selection of the dynamic adaptive switching gain plays an important role in stabilizing the state variables of the system. The gain adaption parameters are introduced to speed up the rate of adaption of the switching constant. The numerical simulation were performed using the second order system and simple pendulum shows the proposed control method effectively rejecting uncertainties with stabilization of the system response.
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具有动态切换增益的鲁棒离散时间滑模控制器设计
离散时间滑模控制(DTSMC)是控制工程领域中应用最广泛的鲁棒控制技术。本文提出了一种改进的DTSMC自适应开关增益。将该方法与流行的控制律和最近设计的动态自适应开关增益控制律进行了比较。动态自适应开关增益的选择对系统状态变量的稳定起着重要的作用。为了加快开关常数的自适应速度,引入了增益自适应参数。采用二阶系统和单摆进行了数值仿真,结果表明所提出的控制方法能够有效地抑制不确定性,并具有系统响应的稳定性。
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