Feedback vector L2-gain for switched non-linear systems

In this paper, we investigate the preservation of vector L
₂
-gain property of nonlinear switched systems. The nominal switched system has not vector L
₂
-gain property, which the primary control objectives do not be obtained by the primary controllers. By using feedback control, we design the robust terms to make the systems has vector L
₂
-gain property with the same storage functions as the nominal systems and guarantee the primary control objectives. For properties of interconnected systems, small-gain theorem is maintained for switched systems with uncertainties. Finally, two examples are provided to illustrate the effectiveness of the main results.