非最小相位不稳定对象的鲁棒最优模型匹配
Robust Optimal Model Matching for the Nonminimum Phase and Unstable Plants
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摘要: 研究了单输入单输出(SISO)线性时不变系统的鲁棒最优模型匹配问题.采用二自 由度的控制器,对于被控对象具有乘性摄动时,充分考虑控制器的自由参数,将问题转化成有 约束的H∞控制问题,使闭环系统既是H∞范数意义下的最优模型匹配,又具有更大的鲁棒稳 定性.最后,通过解两个H∞范数的最优内插问题,给出了一种新的设汁方法来确定控制器的 参数.该方法简单、直接,对非最小相位系统和不稳定系统均适用.Abstract: Robust optimal model matching problem {or the single-input and single- output linear time-variant systems is dealt with in this paper. A two- degrees- of- freedom controller is used. For the case of the non-minimum phase plants with multiplicative perturbations, the problem of robust stability of closed-loop system under the conditions of optimal model matching is transferred into a constrained H∞ optimization problem. A new method for determining parameters of the controller is given, which involves solving an H∞ interpolation problem.
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Key words:
- Model matching /
- H∞ control /
- robust stability /
- H∞interpolation
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