Title :
Mixed H2/H∞ model predictive control for systems with energy-bounded disturbance
Author :
Li Jiwei ; Li Dewei ; Xi Yugeng ; Lu Jianbo
Author_Institution :
Dept. of Autom., Shanghai Jiao Tong Univ., Shanghai, China
Abstract :
This paper designs a mixed H2/H∞ model predictive algorithm for systems with energy-bounded disturbance. The formulation of H2/H∞ performance in previous work is improved by introducing a slack variable. Furthermore, we decouple the formulation of H2/H∞ performance from the formulation of input and state constraints by dilated LMI technique. These two aspects are combined to develop a less conservative control algorithm. Recursive feasibility of the algorithm is able to be proved and stability of the controlled system is ensured. Numerical example shows the effectiveness of the proposed algorithm.
Keywords :
H∞ control; H2 control; control system synthesis; linear matrix inequalities; predictive control; conservative control algorithm; controlled system stability; dilated LMI technique; energy-bounded disturbance; mixed H2-H∞ model predictive control algorithm; recursive feasibility; slack variable; state constraints; Equations; Linear matrix inequalities; Prediction algorithms; Predictive control; Robustness; Trajectory; Upper bound; Mixed H2/H∞ control; constraints; dilated LMI technique; model predictive control;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an