On PID control of dynamic systems with hysteresis using a Prandtl-Ishlinskii model
On PID control of dynamic systems with hysteresis using a Prandtl-Ishlinskii model
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DOI：
10.1109/acc.2012.6315107
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发表时间：
2012-06
期刊：
影响因子：
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通讯作者：
L. Riccardi;D. Naso;B. Turchiano;H. Janocha;D. Palagachev
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文献类型：
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作者：
L. Riccardi;D. Naso;B. Turchiano;H. Janocha;D. Palagachev
本文研究了用改进的Prandtl-Ishlinskii模型描述输入滞后的二阶系统的PI和PID控制。将常参考点的渐近跟踪问题重新表述为多面体线性微分包含的稳定性问题。这提供了一个简单的线性矩阵不等式条件，当满足所选PI或PID控制器增益时，保证了恒定参考的跟踪，也允许设计人员建立性能指标。在磁形状记忆合金微测量定位系统上进行了实验验证。
This papers deals with PI and PID control of second order systems with an input hysteresis described by a modified Prandtl-Ishlinskii model. The problem of the asymptotic tracking of constant references is re-formulated as the stability of a polytopic linear differential inclusion. This offers a simple linear matrix inequality condition that, when satisfied with the chosen PI or PID controller gains, ensures the tracking of constant reference and also allows the designer to establish a performance index. The validation of the approach is performed experimentally on a Magnetic Shape Memory Alloy micrometric positioning system.