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摘要: 研究连续广义系统的标准H2最优控制器的设计问题.利用线性分式变换方法给出该 系统的所有稳定化控制器的参数化形式,从而借助于两个广义H2代数Riccati方程和两个广义 Lyapunov方程,分别给出该系统的一个标准H2最优控制器的设计及最优H2范数的计算.最 后用一个算例进一步说明设计方法.
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关键词:
- 广义系统 /
- H2最优控制 /
- H2代数Riccati方程 /
- H2范数
Abstract: The problem of design of standard H2 optimal controller for continous-time descriptor systems is studied. Parameterization of all stabilizing controller of the system is given using the method of linear fractional transformation. Furthermore, By means of two H2 generalized algebraic Riccati equations and two generalized Lyapunov equations respectively, a design of standard H2 optimal controller and the calculation of optimal H2 norm are presented. Finally, a numerical example is given to illustrate the design method.-
Key words:
- Descriptor system /
- H2 optimal control /
- H2 algebraic Riccati equation /
- H2 norm
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