TY - JOUR
T1 - Asynchronous observer design for switched linear systems
T2 - A tube-based approach
AU - Han, Minghao
AU - Zhang, Ruixian
AU - Zhang, Lixian
AU - Zhao, Ye
AU - Pan, Wei
PY - 2020
Y1 - 2020
N2 - This paper proposes a tube-based method for the asynchronous observation problem of discrete-Time switched linear systems in the presence of amplitude-bounded disturbances. Sufficient stability conditions of the nominal observer error system under mode-dependent persistent dwell-Time MPDT switching are first established. Taking the disturbances into account, a novel asynchronous MPDT robust positive invariant RPI set and an asynchronous MPDT generalized RPI GRPI set are determined for the difference system between the nominal and disturbed observer error systems. Further, the global uniform asymptotical stability of the observer error system is established in the sense of converging to the asynchronous MPDT GRPI set, i.e., the cross section of the tube of the observer error system. Finally, the proposed results are validated on a space robot manipulator example.
AB - This paper proposes a tube-based method for the asynchronous observation problem of discrete-Time switched linear systems in the presence of amplitude-bounded disturbances. Sufficient stability conditions of the nominal observer error system under mode-dependent persistent dwell-Time MPDT switching are first established. Taking the disturbances into account, a novel asynchronous MPDT robust positive invariant RPI set and an asynchronous MPDT generalized RPI GRPI set are determined for the difference system between the nominal and disturbed observer error systems. Further, the global uniform asymptotical stability of the observer error system is established in the sense of converging to the asynchronous MPDT GRPI set, i.e., the cross section of the tube of the observer error system. Finally, the proposed results are validated on a space robot manipulator example.
KW - Asynchronous observer design
KW - generalized robust positive invariant (GRPI) set
KW - mode-dependent persistent dwell-Time (MPDT)
KW - switched linear systems
UR - http://www.scopus.com/inward/record.url?scp=85077775943&partnerID=8YFLogxK
U2 - 10.1109/JAS.2019.1911822
DO - 10.1109/JAS.2019.1911822
M3 - Article
AN - SCOPUS:85077775943
SN - 2329-9266
VL - 7
SP - 70
EP - 81
JO - IEEE/CAA Journal of Automatica Sinica
JF - IEEE/CAA Journal of Automatica Sinica
IS - 1
ER -