TY - JOUR
T1 - Global state feedback stabilisation for a class of high-order nonlinear systems with quantised input and state
AU - Li, Guangqi
AU - Lin, Yan
AU - Zhang, Xu
N1 - Publisher Copyright:
© 2016 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2017/4/4
Y1 - 2017/4/4
N2 - In this paper, we aim at addressing the problem of global state feedback stabilisation for a class of high-order nonlinear systems with quantised input and state. The nonlinear functions of the system are bounded by both low-order and high-order terms multiplied by a polynomial-type incremental rate. With the combination of homogeneous domination approach and sector bound approach, a quantised controller computed from quantised state is constructed and a guideline is derived for selecting the parameters of the quantisers. Further, it is proved that, with the proposed scheme, the closed-loop system is globally asymptotically stable.
AB - In this paper, we aim at addressing the problem of global state feedback stabilisation for a class of high-order nonlinear systems with quantised input and state. The nonlinear functions of the system are bounded by both low-order and high-order terms multiplied by a polynomial-type incremental rate. With the combination of homogeneous domination approach and sector bound approach, a quantised controller computed from quantised state is constructed and a guideline is derived for selecting the parameters of the quantisers. Further, it is proved that, with the proposed scheme, the closed-loop system is globally asymptotically stable.
KW - Homogeneous domination approach
KW - logarithmic quantiser
KW - quantised controller computed from quantised state
KW - sector bound approach
UR - https://www.scopus.com/pages/publications/84975223471
U2 - 10.1080/00207721.2016.1197981
DO - 10.1080/00207721.2016.1197981
M3 - 文章
AN - SCOPUS:84975223471
SN - 0020-7721
VL - 48
SP - 921
EP - 929
JO - International Journal of Systems Science
JF - International Journal of Systems Science
IS - 5
ER -