TY - GEN
T1 - Input-to-state stabilization for a 2 × 2 hyperbolic system cascaded with an ODE
AU - Zhang, Han Wen
AU - Wang, Jun Min
AU - Wang, Jing
N1 - Publisher Copyright:
© 2022 IEEE.
PY - 2022
Y1 - 2022
N2 - The paper deals with the input-to-state stabilization for the 2×2 system of first-order hyperbolic equations, which convect in opposite directions cascaded with an unstable ODE equation. First, an inverse backstepping transformation is introduced to obtain a target system. Then, by active disturbance rejection control (ADRC) method, the disturbance is estimated via a disturbance estimator with time-varying gain. When the unmatched disturbances are absent, the disturbance estimator is exponentially convergent to the matched disturbance. Furthermore, in order to reject the matched disturbance and obtain the input-to-state stability of the system, the controller is proposed by using the disturbance estimator. Finally, numerical simulations are presented to validate theoretical results.
AB - The paper deals with the input-to-state stabilization for the 2×2 system of first-order hyperbolic equations, which convect in opposite directions cascaded with an unstable ODE equation. First, an inverse backstepping transformation is introduced to obtain a target system. Then, by active disturbance rejection control (ADRC) method, the disturbance is estimated via a disturbance estimator with time-varying gain. When the unmatched disturbances are absent, the disturbance estimator is exponentially convergent to the matched disturbance. Furthermore, in order to reject the matched disturbance and obtain the input-to-state stability of the system, the controller is proposed by using the disturbance estimator. Finally, numerical simulations are presented to validate theoretical results.
KW - First-order transport equations
KW - active disturbance rejection control
KW - backstepping transformation
KW - input-to-state stabilization
UR - http://www.scopus.com/inward/record.url?scp=85147911659&partnerID=8YFLogxK
U2 - 10.1109/YAC57282.2022.10023826
DO - 10.1109/YAC57282.2022.10023826
M3 - Conference contribution
AN - SCOPUS:85147911659
T3 - Proceedings - 2022 37th Youth Academic Annual Conference of Chinese Association of Automation, YAC 2022
SP - 296
EP - 301
BT - Proceedings - 2022 37th Youth Academic Annual Conference of Chinese Association of Automation, YAC 2022
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 37th Youth Academic Annual Conference of Chinese Association of Automation, YAC 2022
Y2 - 19 November 2022 through 20 November 2022
ER -