H∞ Output Anti-Bump Control for Switched Linear Systems

This paper focuses on the
$H_{\infty}$
output anti-bump control problem for a class of switched linear systems. There exist bumps of the output signal for the switched systems at the switching instants. A novel description of the output anti-bump performance for the system is provided, which can suppress the bumps of the output. The developed strategy ensures the
$H_{\infty}$
control of the switched system while possesses output anti-bump performance. Moreover, the switching controller and a switching law are designed to solve the
$H_{\infty}$
output anti-bump control problem. An example is provided to show the validation of the proposed method.