Fixed structure PID controller design for standard Hinfinity control problem
Fixed structure PID controller design for standard Hinfinity control problem
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DOI：
10.1016/j.automatica.2005.07.006
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发表时间：
2006
期刊：
影响因子：
--
通讯作者：
M. Saeki
中科院分区：
文献类型：
--
作者：
M. Saeki
提出了一种满足标准H∞控制问题性能指标和控制结构线性约束的多变量PID控制器设计方法。对每个频率，由H∞范数条件得到的非凸/凸矩阵不等式分别用线性矩阵不等式逼近.通过求解线性矩阵不等式的可行性问题，从一个稳定的PID增益开始迭代获得一个PID增益序列。PID增益收敛于局部最优解，且H∞范数界序列单调非增。
A design method of multivariable PID controllers that satisfy the performance index of the standard H∞control problem and linear constraints on the control structure is proposed. Nonconvex/convex matrix inequalities obtained from the H∞norm condition for each frequency are approximated by linear matrix inequalities, respectively. A sequence of PID gains is obtained by solving a feasibility problem of the linear matrix inequalities starting from a stabilizing PID gain iteratively. The PID gain converges to a local optimal solution and the sequence of the H∞norm bound is monotonically nonincreasing.