The linear-quadratic optimal control approach to feedback control design for systems with delay
Automatica (Journal of IFAC)
Paper: Model predictive heuristic control
Automatica (Journal of IFAC)
Delay-dependent robust model predictive control for time-delay systems with input constraints
ACC'09 Proceedings of the 2009 conference on American Control Conference
Delay identification in linear differential difference systems
ACMOS'06 Proceedings of the 8th WSEAS international conference on Automatic control, modeling & simulation
Receding horizon control of differential difference systems with multiple delay parameters
ICS'06 Proceedings of the 10th WSEAS international conference on Systems
Adaptive predictive control of time-delay systems
Computers & Mathematics with Applications
| Hi-index | 22.14 |
A general receding horizon control (RHC), or model predictive control (MPC), for time-delay systems is proposed. The proposed RHC is obtained by minimizing a new cost function that includes two terminal weighting terms, which are closely related to the closed-loop stability. The general solution of the proposed RHC is derived using the generalized Riccati method. Furthermore, an explicit solution is obtained for the case where the horizon length is less than or equal to the delay size. A linear matrix inequality (LMI) condition on the terminal weighting matrices is proposed, under which the optimal cost is guaranteed to be monotonically non-increasing. It is shown that the monotonic condition of the optimal cost guarantees closed-loop stability of the RHC. Simulations demonstrate that the proposed RHC effectively stabilizes time-delay systems.