Multivariable PID control with set-point weighting via BMI optimisation
Multivariable PID control with set-point weighting via BMI optimisation
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DOI：
10.1016/j.automatica.2007.05.021
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发表时间：
2008-02
期刊：
影响因子：
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通讯作者：
F. Bianchi;R. Mantz;C. F. Christiansen
中科院分区：
文献类型：
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作者：
F. Bianchi;R. Mantz;C. F. Christiansen
本文主要研究具有设定值加权的多变量PID控制器的设计。这种PID结构的优点是，系统对干扰和设定点变化的响应可以分别调整。所提出的设计方法依赖于转换成一个静态输出反馈（SOF）问题的控制器增益的调整。因此，多变量PID控制器可以通过求解双线性矩阵不等式（BMI）的优化问题来设计。本文讨论了时不变和增益调度鲁棒控制器的设计。本文讨论的所有整定方法都是基于带滤波导数项的PID结构，从而保证了闭环系统的适定性。
The paper focuses on the design of multivariable PID controllers with set-point weighting. The advantage of this PID structure is that the responses of the system to disturbances and to changes in the set-point can be adjusted separately. The proposed design methods rely on the transformation of the tuning of the controller gains into a static output feedback (SOF) problem. Hence, multivariable PID controllers can be designed by solving an optimisation problem with bilinear matrix inequalities (BMIs). The paper addresses the design of both time-invariant and gain-scheduled robust controllers. All of the tuning methods discussed through the paper are based on a PID structure with filtered derivative term, thus guaranteeing the well-posedness of the closed loop system.