Technical Communique: An improvement on multivariable PID controller design via iterative LMI approach
Technical Communique: An improvement on multivariable PID controller design via iterative LMI approach
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DOI：
10.1016/j.automatica.2003.10.008
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发表时间：
2004-03
期刊：
影响因子：
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通讯作者：
Chong Lin;Qing‐Guo Wang;Tong-heng Lee
中科院分区：
文献类型：
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作者：
Chong Lin;Qing‐Guo Wang;Tong-heng Lee
本文改进了 Cheng、Wang 和 Lee (Automatica 38 (2002) 517) 通过 LMI 方法设计多变量 PID 控制器的结果。改进的思想是将PID控制器设计问题转化为描述符形式的系统静态输出反馈（SOF）控制器设计问题。目前结果的优点是：（1）目前的条件消除了Zheng等人对控制器的可逆性约束。 （2002）并将其合并到要求解的矩阵不等式中。 (2) 一旦获得了SOF矩阵，PID增益就已经准备好了，不需要额外的计算。 (3)本方法可以处理某些系统参数受到扰动的情况。
This note improves the results of Zheng, Wang, and Lee (Automatica 38 (2002) 517) on the design of multivariable PID controllers via LMI approach. The idea of the improvement is to transform the problem of PID controller design to that of static output feedback (SOF) controller design for a system in descriptor form. The merits of the present result are: (1) The present condition removes the invertibility constraint on the controllers in Zheng et al. (2002) and incorporates it to the matrix inequality to be solved. (2) Once the SOF matrix is obtained, the PID gains are ready in hand and no additional computation is needed. (3) The present approach can deal with the case of some system parameters subject to perturbations.