New result on PID controller design of LTI systems via dominant eigenvalue assignment

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• 作者：Jianchang Liu^a ; ^b ; ^{liujianchang@ise.neu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Honghai Wang^a ; ^b ; ^{water.honghai@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Yu Zhang^a ; ^{zhangyu@ise.neu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Dominant eigenvalue assignment ; Linear time-invariant (LTI) system ; Proportional&ndash ; integral&ndash ; derivative (PID) control ; Hermite&ndash ; Biehler theorem
• 刊名：Automatica
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：62
• 期：Complete
• 页码：93-97
• 全文大小：440 K

文摘

This note considers the problem of assigning the dominant eigenvalues of a linear time-invariant (LTI) system to the desired positions by using proportional–integral–derivative (PID) controllers. The procedure is based on first setting some rightmost eigenvalues of the system at the desired positions and then guaranteeing the dominance of those rightmost eigenvalues by using the generalization of the Hermite–Biehler Theorem. It is worth pointing out that this work aims to ascertain the gains of PID controllers in a straightforwardly computational way which plays an important role in practical applications.