Improvement on stability bounds for singularly perturbed systems via state feedback
Improvement on stability bounds for singularly perturbed systems via state feedback
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DOI：
10.1080/00207729708929418
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发表时间：
1997-06
期刊：
影响因子：
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通讯作者：
Wanquan Liu;M. Paskota;V. Sreeram;K. Teo
中科院分区：
文献类型：
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作者：
Wanquan Liu;M. Paskota;V. Sreeram;K. Teo
本文首先给出了奇异摄动系统中寄生参数∈的上界∈* 的一个新的刻画，当0 < ∈ < ∈* 时，它保证了这类系统的稳定性。可以看出，这个上界只是矩阵对的最小正特征值，可以从系统矩阵显式构造。其次，基于稳定性上界的新刻画，给出了计算稳定性上界的算法。第三，为了通过状态反馈提高上界∈*，提出了一种算法。最后，给出了几个例子来说明本文提出的算法。
In this paper, first we give a new characterization for the upper bound ∈* of the parasitic parameter ∈ in singularly perturbed systems, which ensures stability of such systems if 0 < ∈ < ∈*. It will be shown that this upper bound is just the minimum positive eigenvalue of a matrix pair, which can be explicitly constructed from the system matrix. Secondly, based on the new characterization for the stability upper bound, an algorithm for computing this upper bound ∈* is established. Thirdly, in order to improve the upper bound ∈* via state feedback, an algorithm is developed. Finally, several examples are presented to illustrate the algorithms proposed in this paper.