This paper addresses the control of manipulation force in a piezoelectric tube actuator (piezotube) subjected to temperature variation and input constrains. To handle this problem a robust output‐feedback design is proposed using an interval state‐space model, which permits consideration of the parameter uncertainties caused by temperature variation. The design method is robust in the sense that the eigenvalues of the interval system are designed to be clustered inside desired regions. For that, an algorithm based on Set Inversion Via Interval Analysis (SIVIA) combined with interval eigenvalues computation is proposed. This recursive SIVIA‐based algorithm allows to approximate with subpaving the set solutions of the feedback gain [K] that satisfy the inclusion of the eigenvalues of the closed‐loop system in the desired region, while at the same time ensuring the control inputs amplitude is bounded by specified saturation. The effectiveness of the control strategy is illustrated by experiments on a real piezotube of which the environmental temperature is varied.

中文翻译：

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在温度变化和输入约束条件下对压电执行器的输出反馈力进行鲁棒且有保证的控制

本文讨论了温度变化和输入约束条件下压电管致动器（压电管）中操纵力的控制。为了解决这个问题，提出了一种使用间隔状态空间模型的鲁棒输出反馈设计，该模型可以考虑温度变化引起的参数不确定性。在将间隔系统的特征值设计为聚集在所需区域内的意义上，该设计方法是健壮的。为此，提出了一种基于SIVIA的集反转算法与区间特征值计算相结合的算法。这种基于SIVIA的递归算法允许通过将反馈增益[ K可以满足要求的区域中包含闭环系统特征值的要求，同时确保控制输入幅度受指定的饱和度限制。通过在环境温度变化的真实压电管上进行的实验说明了控制策略的有效性。