考虑了二维线性离散时间切换系统的二次可镇定问题,在子系统可镇定或者可控的前提下,通过设计切换状态反馈控制器,给出了系统二次可镇定的充要条件,从而保证了任意切换下闭环系统的二次稳定性。仿真结果验证了本文的主要结论。
The quadratic stabilization of planar discrete time switched systems is considered. Under the assumption of stabilization or controllability of the subsystems, the necessary and sufficient condition is derived through designing switching state feedback controllers, which guarantees the quadratic stability of the closed-loop switched system under arbitrary switching. The main result is validated through a numerical simulation.