| 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] |
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| 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 1607 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). |
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| 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. |