Parametrized linear matrix inequalities for nonlinear discrete H/sub /spl infin// control
Parametrized linear matrix inequalities for nonlinear discrete H/sub /spl infin// control
复制标题
非线性离散 H/sub /spl infin// 控制的参数化线性矩阵不等式
DOI：
10.1109/cdc.1999.831396
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
M. James
中科院分区：
文献类型：
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作者：
H. D. Tuan;P. Apkarian;M. James
提出了一种基于参数化线性矩阵不等式(PLMI)的求解非线性离散H/B/SPL控制问题的新方法。“维度灾难”是阻碍非线性H/SUB/SPL/INFIN//控制理论应用于实际的主要障碍之一。然而，在大多数应用中，非线性系统的非线性是由一些变量引起的，这些变量的维度远低于被控对象的维度。将这样的非线性变量作为参数，在降维空间中将系统处理为依赖于参数的一族线性系统。然后，可以使用PLMI工具来使非线性H/SUB/SPL ININ//控制问题在计算上容易处理。此外，对于给出有限维控制而不是定制的无限维控制的输出反馈问题，该方法也能很好地工作。
A new approach based on parametrized linear matrix inequalities (PLMIs) for solving nonlinear discrete H/sub /spl infin// control is proposed. The "curse of dimensionality" is one of the main obstacles preventing nonlinear H/sub /spl infin// control theory to be used in practice. However, in most applications, nonlinearity of a nonlinear system is caused by a few variables with dimension much lower than the plant dimension. Considering such nonlinear variables as parameters, the system can be handled as a family of linear systems depending on parameters in a reduced-dimension space. Then, PLMI tools can be used to render the nonlinear H/sub /spl infin// control problem computationally tractable. Moreover, this approach can work well for output feedback problem giving a finitely dimensional control instead of a customized infinitely dimensional one.