一类线性切换系统具有H_∞性能指标的二次稳定  

Quadratic stability with H-infinity performance for a class of switched linear systems

作　　者：聂宏[1] 赵军[1] 

机构地区：[1]辽宁石油化工大学理学院

出　　处：《控制理论与应用》2004年第2期189-194,共6页Control Theory & Applications

基　　金：国家自然科学基金项目(60274009);高等学校博士专项科研基金项目(20020145007);辽宁省自然科学基金项目(20032020).

摘　　要：研究了一类线性切换系统具有H∞扰动衰减度二次稳定问题.这类线性切换系统由两个子系统组成,并且每个子系统都不是具有H∞扰动衰减度二次稳定的.利用单Lyapunov函数方法,得到了线性切换系统具有H∞扰动衰减度二次稳定的充分条件,同时由凸组合系统设计出确保线性切换系统二次稳定且具有H∞扰动衰减度的切换律.进一步,还给出了线性切换系统具有H∞扰动衰减度二次稳定的必要条件.最后的仿真实例表明了结论的有效性.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.

关 键 词：线性切换系统 具有H∞扰动衰减度的二次稳定 凸组合 单LYAPUNOV函数 

分 类 号：TP11[自动化与计算机技术—控制理论与控制工程]