基于LMI的一类混合H2/H∞控制问题的降价控制器设计--连续情形
The LMI Based Reduced-Order Controllers for Mixed H2/H∞ Control Problems:Continuous-Time Case
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摘要: 考虑连续系统的一类混合H2/H∞控制问题,对于含无穷远零点和有限虚轴零点的奇异 广义对象,引入线性矩阵不等式(LMI)方法研究了降价控制器存在判据和设计准则.文中指出,对 于所述对象,若混合H2/H∞控制问题可解,则它必存在降价控制器.存在准则和设计方法分别归 结到LMI的可解性及其凸优法解法.Abstract: This paper considers reduced-order controllers for a class of mixed H2/H∞ control problems in continuous systems. For singular plants with infinite zeros, we obtain the following important result via the method of linear matrix ineuquality. If the mixed HZ/H∞ problem is solvable, then there must exist reduced order controllers. We can also give feasible design methods for constructing the reduced-order controller because of the constructive proof,which only involve simple system transformations and convex optimization of LMI.
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Key words:
- Continuous system /
- H∞ control /
- mixed H2/H∞ control /
- matrix inequality /
- reduced-order controller
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