一类不确定非线性切换系统的鲁棒稳定性

充分利用结构特点,通过标称系统各部分的稳定性获得一类不确定非线性切换系统的鲁棒稳定性.当标称系统的线性部分及零动态均存在共同Lyapunov函数时,通过构造依赖于不确定参数的共同Lyapunov函数得到整个系统在任意切换下的鲁棒稳定性.进一步,当标称系统的线性部分及零动态的各子系统都不渐近稳定时,通过设计切换律得到了该切换系统鲁棒稳定性的充分条件.

Robust Stability of a Class of Uncertain Nonlinear Switched Systems

Making full use of the structural properties,the robust stability of a class of uncertain nonlinear switched systems is derived from the stability of every part of their nominal systems.When there are common Lyapunov functions found in both the linear parts and zero dynamics of the nominal systems,the robust stability of the systems available to arbitrary switching can be obtained by way of constructing a common Lyapunov function relying on uncertain parameters.Furthermore,when no subsystems of linear parts and zero dynamics are asymptotically stable in the nominal systems,the sufficient conditions ensuring the robust stability of such systems are given by designing a certain switching law through convex combination.