Mixed-sensitivity optimization for a class of unstable infinite-dimensional systems
Mixed-sensitivity optimization for a class of unstable infinite-dimensional systems
复制标题
一类不稳定无限维系统的混合灵敏度优化
DOI：
10.1016/0024-3795(93)90337-n
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发表时间：
1993
影响因子：
1.1
通讯作者：
A. Tannenbaum
中科院分区：
文献类型：
--
作者：
H. Özbay;Malcolm C. Smith;A. Tannenbaum
本文研究了一类不稳定分布式系统的h∞混合灵敏度最小化问题。该解决方案是基于倾斜Toeplitz方法的扩展。使用的关键数学事实是，在不稳定情况下产生的偏态Toeplitz算子是由有理函数的压缩得到的经典偏态Toeplitz算子的有限秩扰动。对于这类算子，我们推导出一个线性方程组（奇异方程组），从中我们可以计算出相关的奇异值和向量。文中还包括一个示例来说明结果。
In this paper we solve theH∞mixed-sensitivity minimization problem for a class of unstable distributed systems. The solution is based on an extension of the skew Toeplitz methodology. The key mathematical fact used is that the skew Toeplitz operators arising in the unstable case are finite-rank perturbations of the classical skew Toeplitz operators obtained from compressions of rational functions. A system of linear equations (thesingular system) is derived for this class of operators, from which one can compute the associated singular values and vectors. An example is included to illustrate the results.