An analysis and design method for systems with structural uncertainty

An analysis and design method for systems with structural uncertainty
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DOI:
10.1080/00207170600893665
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发表时间:
2006-12
影响因子:
2.1
通讯作者:
Xiushan Cai;Z. Han;X. Wang
Xiushan Cai;Z. Han;X. Wang
中科院分区:
计算机科学4区
文献类型:
--
作者:
Xiushan Cai;Z. Han;X. Wang

文献摘要

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针对具有结构不确定性的非线性系统,提出了一种新的控制李雅普诺夫函数的表征方法。在此基础上,研究了两类结构不确定性非线性系统的全局渐近镇定问题。分别得到了闭环系统全局渐近镇定的充分条件。另外,分别设计了状态反馈控制律,使闭环系统的平衡点全局渐近稳定。最后,通过仿真验证了该方法的有效性。
A new characterization of control Lyapunov functions is presented for non-linear systems with structural uncertainty. Based on this characterization, we deal with the problem of globally asymptotical stabilization of two classes of non-linear systems with structural uncertainty. Sufficient conditions for the globally asymptotical stabilization of the closed-loop system are acquired respectively. In addition, state feedback control laws are designed respectively to globally asymptotically stabilize the equilibrium of the closed-loop system. Finally, the simulations show the effectiveness of the method.