引用本文:聂宏, 赵军.一类线性切换系统具有H∞性能指标的二次稳定[J].控制理论与应用,2004,21(2):189~194.[点击复制]
NIE Hong, ZHAO Jun.Quadratic stability with H-infinity performance for a class of switched linear systems[J].Control Theory and Technology,2004,21(2):189~194.[点击复制]
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
摘要点击 1609  全文点击 1142  投稿时间：2002-04-29  修订日期：2003-07-14
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DOI编号  10.7641/j.issn.1000-8152.2004.2.008
  2004,21(2):189-194
中文关键词  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
英文关键词  switched linear system  quadratic stability with H-infinity disturbance attenuation  convex combination  single Lyapunov function
基金项目  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).
作者单位
聂宏, 赵军 辽宁石油化工大学 理学院,辽宁 抚顺 113001
东北大学 信息科学与工程学院,辽宁 沈阳 110004 
中文摘要
      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.
英文摘要
      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.