Backstepping Design for Stabilization of Nonlinear Differential-Algebraic Systems
Backstepping Design for Stabilization of Nonlinear Differential-Algebraic Systems
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DOI：
10.11511/jacc.48.0.239.0
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发表时间：
2005
影响因子：
6.8
通讯作者：
Zhong-Ping Jiang;M. Ikeda
中科院分区：
文献类型：
--
作者：
Zhong-Ping Jiang;M. Ikeda
在本文中，它表明，非线性微分代数系统的稳定化问题可以处理，而无需将系统描述成一个标准的状态空间形式。基于原级联形式的微分代数方程，提出了一种反推设计方案，得到了一个渐近稳定的控制器。该控制器对模型不确定性具有鲁棒性。
In this paper, it is shown that a stabilization problem for nonlinear differential-algebraic systems can be treated without bringing the system description into a standard state-space form. A backstepping design scheme is proposed based on the original differential-algebraic equation of a cascade-interconnected form, which yields an asymptotically stabilizing controller. The controller is robust with respect to model uncertainties.