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摘要: 讨论了一类线性时变不确定周期广义系统的鲁棒镇定问题.基于线性时变不确定周期广义系统的鲁棒稳定的概念, 提出鲁棒稳定的充分必要条件, 并基于对偶系统的等价性得到鲁棒镇定的充分必要条件. 通过引入自由矩阵, 所得结果表示为线性矩阵不等式, 验证过程更简单、可靠.
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关键词:
- 线性不确定周期奇异系统 /
- 鲁棒镇定 /
- 线性矩阵不等式
Abstract: The problem of roust stabilization for linear time-varying uncertain periodic descriptor systems is revisited. Based on the concept of robust stability for linear time-varying uncertain periodic descriptor systems, a necessary and sufficient condition for robust stability is put forward. The robust stabilization problem is also studied and the corresponding necessary and sufficient condition is given using the notation of dual system. The obtained matrix inequality conditions can be transformed to linear matrix inequality ones with the introduction of some free matrices, which makes the analysis and design procedure simple and reliable.
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