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首页> 外文期刊>Automatic Control, IEEE Transactions on >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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Sliding Mode and Active Disturbance Rejection Control to Stabilization of One-Dimensional Anti-Stable Wave Equations Subject to Disturbance in Boundary Input

机译：滑模和主动扰动抑制控制用于稳定一维反稳定波动方程的边界输入

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摘要

In this technical note, we are concerned with the boundary stabilization of a one-dimensional anti-stable wave equation subject to boundary disturbance. We propose two strategies, namely, sliding mode control (SMC) and the active disturbance rejection control (ADRC). The reaching condition, and the existence and uniqueness of the solution for all states in the state space in SMC are established. The continuity and monotonicity of the sliding surface are proved. Considering the SMC usually requires the large control gain and may exhibit chattering behavior, we then develop an ADRC to attenuate the disturbance. We show that this strategy works well when the derivative of the disturbance is also bounded. Simulation examples are presented for both control strategies.
机译：在本技术说明中，我们关注一维抗边界波动方程的边界稳定问题。我们提出了两种策略，即滑模控制（SMC）和主动干扰抑制控制（ADRC）。建立了SMC状态空间中所有状态的到达条件，解的存在唯一性。证明了滑动面的连续性和单调性。考虑到SMC通常需要较大的控制增益，并且可能会出现抖动现象，因此我们开发了ADRC来减弱干扰。我们证明，当扰动的导数也有界时，该策略效果很好。给出了两种控制策略的仿真示例。

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