...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>IEEE Transactions on Automatic Control >Losslessness, feedback equivalence, and the global stabilization of discrete-time nonlinear systems
【24h】

Losslessness, feedback equivalence, and the global stabilization of discrete-time nonlinear systems

机译：离散非线性系统的无损，反馈当量和全局稳定

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

In this paper a necessary and sufficient condition for a nonlinear system of the form /spl Sigma/, given by x(k+1)=f(x(k))+g(x(k))u(k), y(k)=h(x(k))+J(x(k))u(k), to be lossless is given, and it is shown that a lossless system can be globally asymptotically stabilized by output feedback if and only if the system is zero-state observable. Then, we investigate conditions under which /spl Sigma/ can be rendered lossless via smooth state feedback. In particular, we show that this is possible if and only if the system in question has relative degree /spl lcub/0,...,0/spl rcub/ and has lossless zero dynamics. Under suitable controllability-like rank conditions, we prove that nonlinear systems having relative degree /spl lcub/0,...,0/spl rcub/ and lossless zero dynamics can be globally stabilized by smooth state feedback. As a consequence, we obtain sufficient conditions for a class of cascaded systems to be globally stabilizable. The global stabilization problem of the nonlinear system /spl Sigma/ without output is also investigated in this paper by means of feedback equivalence. Some of the results are parallel to analogous ones in continuous-time, but in many respects the theory is substantially different and many new phenomena appear.
机译：在本文中，形式为/ spl Sigma /的非线性系统的充要条件由x（k + 1）= f（x（k））+ g（x（k））u（k），y给出（k）= h（x（k））+ J（x（k））u（k）是无损的，并且证明了当且仅当无损系统可以通过输出反馈全局渐近稳定化该系统是零状态可观察的。然后，我们研究了可以通过平滑状态反馈使/ spl Sigma /无损的条件。特别地，我们证明只有当所讨论的系统的相对度数为/ spl lcub / 0，...，0 / spl rcub /且具有无损零动力学时，才有可能。在合适的类似于可控制性的秩条件下，我们证明具有相对度/ spl lcub / 0，...，0 / spl rcub /和无损零动力学的非线性系统可以通过平滑状态反馈来全局稳定。结果，我们获得了使一类级联系统全局稳定的充分条件。本文还通过反馈等效性研究了无输出的非线性系统/ spl Sigma /的全局稳定问题。一些结果在连续时间内与类似结果平行，但在许多方面，该理论有很大不同，并且出现了许多新现象。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号