Sliding mode and active disturbance rejection control to stabilization of one-dimensional anti-stable wave equations subject to disturbance in boundary input
Sliding mode and active disturbance rejection control to stabilization of one-dimensional anti-stable wave equations subject to disturbance in boundary input
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DOI：
10.1109/cdc.2012.6427033
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
B. Guo;Feng-Fei Jin;Cui-Zhen Yao
中科院分区：
文献类型：
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作者：
B. Guo;Feng-Fei Jin;Cui-Zhen Yao
我们提出两种策略来稳定受边界扰动的一维反稳定波动方程，即滑模控制（SMC）和自抗扰控制（ADRC）。建立了SMC中的有限“到达条件”以及状态空间中所有状态解的存在性和唯一性。我们还开发了一种ADRC来减弱扰动，并表明当扰动的导数也有界时，该策略效果良好。对这两种控制策略都给出了仿真示例。
We propose two strategies to stabilize a one-dimensional anti-stable wave equation subject to boundary disturbance, namely, sliding mode control (SMC) and the active disturbance rejection control (ADRC). The finite “reaching condition”, and the existence and uniqueness of the solution for all states in the state space in SMC are established. We also develop an ADRC to attenuate the disturbance and show that this strategy works well when the derivative of the disturbance is also bounded. Simulation examples are presented for both control strategies.