TY - GEN
T1 - An algorithm for estimating upper bound horizon in model predictive control
AU - Duan, Guangren
AU - Sun, Yong
AU - Zhang, Maorui
AU - Zhang, Ze
PY - 2011
Y1 - 2011
N2 - The upper bound horizon in model predictive control (MPC) problem is computed by a new non-iterative algorithm. The global stability of the MPC problem is guaranteed by solving the infinite horizon constrained linear quadratic regulator (LQR) problem. While the infinite horizon constrained LQR problem can be transformed into the finite horizon constrained LQR problem based on the upper bound horizon equally. There are some algorithms for estimating the upper bound horizon, however, they need expensive computation or give a big value. Then an new algorithm to estimate the upper bound horizon is presented by the linear programming. It only need to solve a linear programming problem for online application. Finally, the comparison among some methods is given by an example. The proposed algorithm has less conservative than that of other algorithms in recent literatures.
AB - The upper bound horizon in model predictive control (MPC) problem is computed by a new non-iterative algorithm. The global stability of the MPC problem is guaranteed by solving the infinite horizon constrained linear quadratic regulator (LQR) problem. While the infinite horizon constrained LQR problem can be transformed into the finite horizon constrained LQR problem based on the upper bound horizon equally. There are some algorithms for estimating the upper bound horizon, however, they need expensive computation or give a big value. Then an new algorithm to estimate the upper bound horizon is presented by the linear programming. It only need to solve a linear programming problem for online application. Finally, the comparison among some methods is given by an example. The proposed algorithm has less conservative than that of other algorithms in recent literatures.
KW - Constrained Finite Horizon
KW - Constrained Linear Quadratic Regulation
KW - Model Predictive Control
KW - Upper Bound Horizon
UR - https://www.scopus.com/pages/publications/80052213091
U2 - 10.1109/CCDC.2011.5968296
DO - 10.1109/CCDC.2011.5968296
M3 - 会议稿件
AN - SCOPUS:80052213091
SN - 9781424487363
T3 - Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011
SP - 823
EP - 827
BT - Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011
T2 - 2011 Chinese Control and Decision Conference, CCDC 2011
Y2 - 23 May 2011 through 25 May 2011
ER -