TY - GEN
T1 - Off-line formulation of robust model predictive control based on several Lyapunov functions
AU - Feng, Le
AU - Wang, Jianliang
AU - Poh, Engkee
PY - 2004
Y1 - 2004
N2 - Recently, it has been recognized that the dilation of the LMI characterizations has new potentials in dealing with such involved problems as multi-objective control, robust performance analysis or synthesis for real polytopic uncertainty and so on. In the Model Predictive Control (MPC) area, Cuzzola et al. have proposed a technique which is based on the use of several Lyapunov functions each one corresponding to a different vertex of the uncertainty polytope. The main advantage of this approach compared to the other well-known techniques is the reduced conservativeness. However, this approach also increases the on-line computational demand, which partially limits its practicality. In this paper, an off-line approach is proposed to reduce such on-line computational demand substantially. The approach is based on the concept of the asymptotically stable invariant ellipsoids and the closed-loop robust stability is guaranteed.
AB - Recently, it has been recognized that the dilation of the LMI characterizations has new potentials in dealing with such involved problems as multi-objective control, robust performance analysis or synthesis for real polytopic uncertainty and so on. In the Model Predictive Control (MPC) area, Cuzzola et al. have proposed a technique which is based on the use of several Lyapunov functions each one corresponding to a different vertex of the uncertainty polytope. The main advantage of this approach compared to the other well-known techniques is the reduced conservativeness. However, this approach also increases the on-line computational demand, which partially limits its practicality. In this paper, an off-line approach is proposed to reduce such on-line computational demand substantially. The approach is based on the concept of the asymptotically stable invariant ellipsoids and the closed-loop robust stability is guaranteed.
KW - Invariant ellipsoid
KW - Linear matrix in-equalities
KW - Model predictive control
KW - Off-line
UR - https://www.scopus.com/pages/publications/21244482232
U2 - 10.1109/ICARCV.2004.1469319
DO - 10.1109/ICARCV.2004.1469319
M3 - Conference contribution
AN - SCOPUS:21244482232
SN - 0780386531
SN - 9780780386532
T3 - 2004 8th International Conference on Control, Automation, Robotics and Vision (ICARCV)
SP - 1705
EP - 1710
BT - 2004 8th International Conference on Control, Automation, Robotics and Vision (ICARCV)
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 8th International Conference on Control, Automation, Robotics and Vision, ICARCV 2004
Y2 - 6 December 2004 through 9 December 2004
ER -