TY - JOUR
T1 - Event-triggered robust model predictive control of continuous-time nonlinear systems
AU - Li, Huiping
AU - Shi, Yang
PY - 2014/5
Y1 - 2014/5
N2 - The event-triggered control is of compelling features in efficiently exploiting system resources, and thus has found many applications in sensor networks, networked control systems, multi-agent systems and so on. In this paper, we study the event-triggered model predictive control (MPC) problem for continuous-time nonlinear systems subject to bounded disturbances. An event-triggered mechanism is first designed by measuring the error between the system state and its optimal prediction; the event-triggered MPC algorithm that is built upon the triggering mechanism and the dual-mode approach is then designed. The rigorous analysis of the feasibility and stability is conducted, and the sufficient conditions for ensuring the feasibility and stability are developed. We show that the feasibility of the event-triggered MPC algorithm can be guaranteed if, the prediction horizon is designed properly and the disturbances are small enough. Furthermore, it is shown that the stability is related to the prediction horizon, the disturbance bound and the triggering level, and that the state trajectory converges to a robust invariant set under the proposed conditions. Finally, a case study is provided to verify the theoretical results.
AB - The event-triggered control is of compelling features in efficiently exploiting system resources, and thus has found many applications in sensor networks, networked control systems, multi-agent systems and so on. In this paper, we study the event-triggered model predictive control (MPC) problem for continuous-time nonlinear systems subject to bounded disturbances. An event-triggered mechanism is first designed by measuring the error between the system state and its optimal prediction; the event-triggered MPC algorithm that is built upon the triggering mechanism and the dual-mode approach is then designed. The rigorous analysis of the feasibility and stability is conducted, and the sufficient conditions for ensuring the feasibility and stability are developed. We show that the feasibility of the event-triggered MPC algorithm can be guaranteed if, the prediction horizon is designed properly and the disturbances are small enough. Furthermore, it is shown that the stability is related to the prediction horizon, the disturbance bound and the triggering level, and that the state trajectory converges to a robust invariant set under the proposed conditions. Finally, a case study is provided to verify the theoretical results.
KW - Continuous-time systems
KW - Disturbances
KW - Event-triggered
KW - Model predictive control (MPC)
KW - Nonlinear systems
KW - Robust control
UR - http://www.scopus.com/inward/record.url?scp=84899899149&partnerID=8YFLogxK
U2 - 10.1016/j.automatica.2014.03.015
DO - 10.1016/j.automatica.2014.03.015
M3 - 文章
AN - SCOPUS:84899899149
SN - 0005-1098
VL - 50
SP - 1507
EP - 1513
JO - Automatica
JF - Automatica
IS - 5
ER -