Fixed-time stabilization control for port-Hamiltonian systems

被引：22
作者：
Liu, Xinggui [1 ,2 ,3 ]
Liao, Xiaofeng [1 ,3 ,4 ]
机构：
[1] Southwest Univ, Coll Elect & Informat Engn, Chongqing 400715, Peoples R China
[2] Yunnan Agr Univ, Dept Appl Math, Kunming 650201, Yunnan, Peoples R China
[3] Chongqing Key Lab Nonlinear Circuits & Intelligen, Chongqing 400715, Peoples R China
[4] Chongqing Univ, Coll Comp Sci, Chongqing 400715, Peoples R China
来源：
NONLINEAR DYNAMICS | 2019年 / 96卷 / 02期
关键词：
Fixed-time stability region; Port-Hamiltonian systems; Fixed-time attractivity; Stability boundary at infinity;
D O I：
10.1007/s11071-019-04867-0
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, the locally fixed-time and globally fixed-time stabilization problems for the port-Hamiltonian (PH) systems via the interconnection and damping assignment passivity-based control technique are discussed. The definitions of fixed-time stability region (or region of attraction) and fixed-time stability boundary are given in this paper. From this starting point, the sufficient condition of globally fixed-time attractivity of a prespecified locally fixed-time stability region is obtained. Combining the locally fixed-time stability and the globally fixed-time attractivity of a prespecified locally fixed-time stability region, the globally fixed-time stabilization problem for PH system is effectively solved. Furthermore, the globally fixed-time control scheme independent of locally fixed-time stability region has also been derived by constructing a novel Lyapunov function. A illustrative example shows that the results obtained in this paper work very well in fixed-time control design of PH systems.
引用
收藏
页码：1497 / 1509
页数：13
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