Finite-Time Input-to-State Stability and Applications to Finite-Time Control Design
Finite-Time Input-to-State Stability and Applications to Finite-Time Control Design
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DOI：
10.1137/070712043
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发表时间：
2010-06
期刊：
影响因子：
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通讯作者：
Yiguang Hong;Zhong-Ping Jiang;G. Feng
中科院分区：
文献类型：
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作者：
Yiguang Hong;Zhong-Ping Jiang;G. Feng
本文将著名的Sontag输入状态稳定性（ISS）概念推广到有限时间控制问题。换句话说，一个新的概念，有限时间输入状态稳定性（FTISS），然后被应用到有限时间稳定性的分析和有限时间稳定的反馈律的设计。对于有限时间稳定性，必须考虑非光滑性，这给有限时间控制器的设计和闭环系统的稳定性分析带来了严峻的技术挑战。结果表明，FTISS在渐近稳定性分析和光滑反馈镇定方面与传统ISS一样具有重要的作用。此外，一个鲁棒自适应控制器，提出了处理非线性系统的参数和动态不确定性凭借FTISS和相关参数。
This paper extends the well-known concept, Sontag's input-to-state stability (ISS), to finite-time control problems. In other words, a new concept, finite-time input-to-state stability (FTISS), is proposed and then is applied to both the analysis of finite-time stability and the design of finite-time stabilizing feedback laws of control systems. With finite-time stability, nonsmoothness has to be considered, and serious technical challenges arise in the design of finite-time controllers and the stability analysis of the closed-loop system. It is found that FTISS plays an important role as the conventional ISS in the context of asymptotic stability analysis and smooth feedback stabilization. Moreover, a robust adaptive controller is proposed to handle nonlinear systems with parametric and dynamic uncertainties by virtue of FTISS and related arguments.