基于LMI的一类混合H2/H∞控制问题的降价控制器设计--离散情形
The LMI Based Reduced-Order Controllers for Mixed H2/H∞ Control Problems:Discrete-Time Case
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摘要: 考虑离散系统的一类混合H2/H∞问题,引入线性矩阵不等式(LMI)方法,研究了广义对 象存在无穷远零点和单位圆上零点时的降价控制器存在判据和设计准则.对于上述问题证明了: 若混合H2/H∞控制问题可解,则它必须在降价控制器,并给出可行的降价控制设计方法.Abstract: This note considers reduced-order controllers for a class of mixed HZ/H∞ control problems in discrete-time case. For singular plants with infinite zeros, we prove the existence of reduced-order controllers via LMI approach. And we give feasible and explicit design procedures for constructing the reduced-orders controller, which only involve simple transformations and convex optimization of LMI.
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Key words:
- Discrete system /
- H∞ control /
- mixed H2/H∞ control /
- matrix inequality
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