A High-Gain Observer for Embedded Polynomial Dynamical Systems

被引：5

作者：

Gerbet, Daniel ^{[1
]}

Roebenack, Klaus ^{[1
]}

机构：

[1] Tech Univ Dresden, Inst Control Theory, Fac Elect & Comp Engn, D-01062 Dresden, Germany

来源：

MACHINES | 2023年 / 11卷 / 02期

关键词：

observer design; observability; embedding observer; polynomial dynamical systems; algebraic methods; LOCAL OBSERVABILITY; NONLINEAR OBSERVER; IMMERSION; DESIGN; TIME;

D O I：

10.3390/machines11020190

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This article deals with the construction of high-gain observers for autonomous polynomial dynamical systems. In contrast to the usual approach, the system's state is embedded into a higher dimensional Euclidean space. The observer state will be contained in said Euclidean space, which has usually higher dimension than the system's state space. Due to this embedding it is possible to avoid singularities in the observation matrix. For some systems this even allows constructing global observers in a structured way, which would not be possible in the lower-dimensional case. Finally, the state estimate in the original coordinates can be obtained by a projection. The proposed method is applied on some example systems.

引用

页数：21

共 47 条

[11] Improved high gain observer design for a class of disturbed nonlinear systems
Farza, M.
Ragoubi, A.
Said, S. Hadj
M'Saad, M.
[J]. NONLINEAR DYNAMICS, 2021, 106 (01) : 631 - 655
[12] A SIMPLE OBSERVER FOR NONLINEAR-SYSTEMS APPLICATIONS TO BIOREACTORS
GAUTHIER, JP
HAMMOURI, H
OTHMAN, S
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (06) : 875 - 880
[13] GAUTHIER JP, 1991, PROCEEDINGS OF THE 30TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-3, P1483, DOI 10.1109/CDC.1991.261648
[14] An Algebraic Approach to Identifiability
Gerbet, Daniel
Robenack, Klaus
[J]. ALGORITHMS, 2021, 14 (09)
[15] Gerbet D, 2020, INT CONF SYST THEO, P425, DOI [10.1109/ICSTCC50638.2020.9259639, 10.1109/icstcc50638.2020.9259639]
[16] On global and local observability of nonlinear polynomial systems: a decidable criterion
Gerbet, Daniel
Roebenack, Klaus
[J]. AT-AUTOMATISIERUNGSTECHNIK, 2020, 68 (06) : 395 - 409
[17] Glad S.T., 1989, NEW TRENDS NONLINEAR, P182, DOI [10.1007/BFb0043027, DOI 10.1007/BFB0043027]
[18] The ordinary differential equations and automatic differentiation unified
Gofen, Alexander M.
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2009, 54 (09) : 825 - 854
[19] Guckenheimer J., 1983, NONLINEAR OSCILLATIO
[20] Guernez C., 1997, Proc. of IFAC Sympo. on Fault Detection, Supervision and Safety for Technical Process: SAFEPROCESS'97, Univ. of Hull, P857, DOI [10.1016/S1474-6670(17)42507-9, DOI 10.1016/S1474-6670(17)42507-9]

← 1 2 3 4 5 →