B/sup 3/ algorithm for robust performances analysis in presence of mixed parametric and dynamic perturbations

B/sup 3/ algorithm for robust performances analysis in presence of mixed parametric and dynamic perturbations
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B/sup 3/ 在存在混合参数和动态扰动的情况下进行稳健性能分析的算法

DOI：
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发表时间：
1992
期刊：
[1992] Proceedings of the 31st IEEE Conference on Decision and Control
影响因子：
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通讯作者：
Jürgen Garloff
Jürgen Garloff
中科院分区：
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文献类型：
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作者：
S. Malan;M. Milanese;M. Taragna;Jürgen Garloff

文献摘要

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研究了同时存在参数摄动和未建模动态时控制系统的性能鲁棒性。假设多项式参数摄动和H/子无穷大/性能，问题减少到检查适当的多项式的正性。提出了一种基于伯恩斯坦多项式展开的新算法。利用参数空间中关于细分的伯恩斯坦系数公式，实现了一个伯恩斯坦分支定界（B/sup 3/）算法.从文献中的非线性扰动控制系统的鲁棒性分析的一些例子证明了算法的效率。&lt;<ETX>&gt;
The performance robustness of control systems in the presence of both parametric perturbations and unmodeled dynamics is investigated. Assuming polynomial parametric perturbations and H/sub infinity / performances, the problem is reduced to checking the positivity of suitable polynomials. A novel algorithm based on the Bernstein polynomial expansion is proposed. A Bernstein branch and bound (B/sup 3/) algorithm has been implemented using the formulas of Bernstein coefficients on subdivisions in the parameter space. The efficiency of the algorithm is demonstrated on some examples taken from the literature on the robustness analysis of nonlinearity perturbed control systems.<<ETX>>