Tools for Semiglobal Stabilization by Partial State and Output Feedback
Tools for Semiglobal Stabilization by Partial State and Output Feedback
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DOI：
10.1137/s0363012992241430
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发表时间：
1995-09
影响因子：
2.2
通讯作者：
A. Teel;L. Praly
中科院分区：
文献类型：
--
作者：
A. Teel;L. Praly
我们开发的工具，部分状态和输出反馈的一致半稳定。我们表明，通过例子，这些工具是有用的解决各种问题。一个应用是一般的结果，半连续的输出反馈镇定时，全局状态反馈镇定的控制功能，是一致完全可观察的。我们还提供了半混沌输出反馈镇定的更一般的结果。全局最小相位输入输出可线性化系统被认为是一种特殊情况。在我们的讨论中，我们证明了考虑局部收敛的有用性从有界性的解决方案。对于前者，我们采用一个足够小的增益条件，保证收敛。对于后者，我们依赖于李雅普诺夫技术。
We develop tools for uniform semiglobal stabilization by partial state and output feedback. We show, by means of examples, that these tools are useful for solving a variety of problems. One application is a general result on semiglobal output feedback stabilizability when global state feedback stabilizability is achievable by a control function that is uniformly completely observable. We provide more general results on semiglobal output feedback stabilization as well. Globally minimum phase input--output linearizable systems are considered as a special case. Throughout our discussion we demonstrate the usefulness of considering local convergence separate from boundedness of solutions. For the former we employ a sufficient small gain condition guaranteeing convergence. For the latter we rely on Lyapunov techniques.