TY - GEN
T1 - Practical stability of integral-based event-triggered control systems
AU - Yu, Hao
AU - Hao, Fei
N1 - Publisher Copyright:
© 2017 Technical Committee on Control Theory, CAA.
PY - 2017/9/7
Y1 - 2017/9/7
N2 - This paper studies the practical stabilization of nonlinear event-triggered control systems in the presence of bounded disturbance. An integral-based triggering condition is employed to generate the events. The event is triggered when the integral of the absolute measurement error, between the latest sampled and the current states, violates a time-varying threshold. It is proved that the closed-loop nonlinear system is practically stable, i.e., the state of the system is bounded with a bound depending on the initial state, the bound of the disturbances, and the parameters in the triggering conditions. Then, a positive estimate of minimum inter-event time is provided to exclude the Zeno behaviors. Moreover, for the integral-based event-triggered control, it is shown that a pre-specified upper bound of inter-event times is necessary to ensure the practical stability. Finally, a numerical example is provided to illustrate the efficiency and the feasibility of the obtained results.
AB - This paper studies the practical stabilization of nonlinear event-triggered control systems in the presence of bounded disturbance. An integral-based triggering condition is employed to generate the events. The event is triggered when the integral of the absolute measurement error, between the latest sampled and the current states, violates a time-varying threshold. It is proved that the closed-loop nonlinear system is practically stable, i.e., the state of the system is bounded with a bound depending on the initial state, the bound of the disturbances, and the parameters in the triggering conditions. Then, a positive estimate of minimum inter-event time is provided to exclude the Zeno behaviors. Moreover, for the integral-based event-triggered control, it is shown that a pre-specified upper bound of inter-event times is necessary to ensure the practical stability. Finally, a numerical example is provided to illustrate the efficiency and the feasibility of the obtained results.
KW - Event-triggered control
KW - Integral-based triggering condition
KW - Nonlinear systems
KW - Practical stability
UR - http://www.scopus.com/inward/record.url?scp=85032180480&partnerID=8YFLogxK
U2 - 10.23919/ChiCC.2017.8028600
DO - 10.23919/ChiCC.2017.8028600
M3 - Conference contribution
AN - SCOPUS:85032180480
T3 - Chinese Control Conference, CCC
SP - 7874
EP - 7879
BT - Proceedings of the 36th Chinese Control Conference, CCC 2017
A2 - Liu, Tao
A2 - Zhao, Qianchuan
PB - IEEE Computer Society
T2 - 36th Chinese Control Conference, CCC 2017
Y2 - 26 July 2017 through 28 July 2017
ER -