H∞ Composite Anti-Bump Switching Control for Switched Systems

Abstract

This article studies the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> composite anti-bump switching control problem for switched systems. First, a more general description on the anti-bump switching performance is presented, including the definition on the existing input anti-bump switching performance and that on the rate anti-bump switching performance as special cases. Then, by virtue of determining a group of controllers combined with a switching logic, a control design program is steered for handling the problem of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> composite anti-bump switching control for the switched systems. Further, a criterion is attained to capture the composite anti-bump switching performance and disturbance restrain performance, conquering the conflicts in the requirements of the input anti-bump switching, rate anti-bump switching, and disturbance attenuation. Also, this condition admits that each of the composite anti-bump switching performance and disturbance restrain performance may not be held by subsystems. In the end, a practical model example is provided to display how the formed control design scheme effectively works.