Quadratic stability with H-infinity performance for a class of switched linear systems
一类线性切换系统具有H∞性能指标的二次稳定

The problem of quadratic stability with H-infinity disturbance attenuation for a class of switched linear systems is addressed in this paper. The systems under consideration consist of two subsystems, and neither of which needs to be quadrati-cally stable with H-infinity disturbance attenuation. Based on single Lyapunov function techniques, a sufficient condition for the switched linear system in this class to be quadratically stable with H-infinity disturbance attenuation is derived, and the quadrati-cally stable switching law is designed in terms of the convex combination system. Furthermore, a necessary condition for the problem to be solvable is also derived. Finally, a simulation example is employed to illustrate the validity of the results.