结构不确定性系统的敏感性分析
Sensitivity Analysis of Systems Under Stable Feedback Structured Uncertainty
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摘要: 讨论了控制对象和控制器同时存在稳定反馈结构不确定性的鲁棒稳定性和性能敏 感性问题,给出了摄动系统鲁棒稳定的充分条件,得到了敏感函数矩阵和闭环传递函数矩阵 H∞的摄动上界.这里控制器并不要求是真稳定的,因此得到的结果较有一般性.Abstract: In this paper, the problem of the stability robustness and the performance sensitivity is investigated for systems under stable feedback structured uncertainties both on the plant G and the feedback controller K simultaneously. Sufficient conditions for the robust stability and the upper bounds for the sensitivity function matrix and the closed-loop transfer function matrix are given in terms of H∞-norms. The controller K does not need to be proper and stable, therefore the results obtained here is of general sense.
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