$H_{\infty}$ Performance Robustness Analysis of Fractional-Order Systems with Structured Perturbations

This paper considers the
$H_{\infty}$
performance robustness analysis of fractional-order systems with structured perturbations. Based on the assumption that the nominal fractional-order systems satisfies
$H_{\infty}$
performance, innovative conditions for checking whether the fractional-order systems with structured perturbations preserve the
$H_{\infty}$
performance are given. Then, the explicit robustness bounds of preserving the
$H_{\infty}$
performance of fractional-order systems with structured perturbations are established. The results are derived by using
$\mu$
-analysis. The final two numerical examples are provided to illustrate the obtained methods.