Homogeneous Output-Feedback Control

被引:1
作者
Hanan, Avi [1 ]
Jbara, Adam [1 ]
Levant, Arie [1 ]
机构
[1] Tel Aviv Univ, Sch Math Sci, Tel Aviv, Israel
关键词
Nonlinear output-feedback control; filtering; sliding mode control; robustness; TIME STABILIZATION; DESIGN; SYSTEMS;
D O I
10.1016/j.ifacol.2020.12.1119
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
New types of homogeneous and homogeneous-in-bilimit filtering observers and differentiators are proposed and applied for the global robust homogeneous asymptotic output-feedback stabilization of disturbed integrator chains. The type of convergence (finite-time, fixed-time to any ball or just asymptotic) is determined by the chosen system homogeneity degree (HD). Output-feedback sliding-mode control is an important particular case. Stabilization accuracy is calculated in the presence of possibly unbounded noises having a bounded multiple integral. Successful stabilization is demonstrated for very large noises and different HDs. Copyright (C) 2020 The Authors.
引用
收藏
页码:5081 / 5086
页数:6
相关论文
共 28 条
[1]   Homogeneous approximation, recursive observer design, and output feedback [J].
Andrieu, Vincent ;
Praly, Laurent ;
Astolfi, Alessandro .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2008, 47 (04) :1814-1850
[2]  
[Anonymous], 1989, Nonlinear Control Systems
[3]  
[Anonymous], 1988, Differential Equations With Discontinuous Right-Hand Side
[4]   Separation results for the stabilization of nonlinear systems using different high-gain observer designs [J].
Atassi, AN ;
Khalil, HK .
SYSTEMS & CONTROL LETTERS, 2000, 39 (03) :183-191
[5]  
Bacciotti A., 2005, Liapunov Functions and Stability in Control Theory
[6]   A survey of applications of second-order sliding mode control to mechanical systems [J].
Bartolini, G ;
Pisano, A ;
Punta, E ;
Usai, E .
INTERNATIONAL JOURNAL OF CONTROL, 2003, 76 (9-10) :875-892
[7]  
Bernuau E, 2013, 2013 EUROPEAN CONTROL CONFERENCE (ECC), P2204
[8]   Levant's Arbitrary-Order Exact Differentiator: A Lyapunov Approach [J].
Cruz-Zavala, Emmanuel ;
Moreno, Jaime A. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 64 (07) :3034-3039
[9]   Lyapunov Functions for Continuous and Discontinuous Differentiators [J].
Cruz-Zavala, Emmanuel ;
Moreno, Jaime A. .
IFAC PAPERSONLINE, 2016, 49 (18) :660-665
[10]  
Cruz-Zavala E, 2016, IET CONTR ROBOT SENS, V102, P3, DOI 10.1049/PBCE102E_ch1.1