Robust model predictive control for descriptor systems with time-delay via dynamic output feedback
Dongwen Zhang1, Wei Zhang2, Chenxi Zhang3
COMPUTER MODELLING & NEW TECHNOLOGIES 2014 18(12A) 17-24
1School of Information Science & Engineering, Hebei University of Science &Technology, No.70 Yu Hua East Road, Shijiazhuang, China
2School of Electrical Engineering, Hebei University of Science &Technology, No.70 Yu Hua East Road, Shijiazhuang, China
3School of Sciences, Hebei University of Science &Technology, No.70 Yu Hua East Road, Shijiazhuang, China
The robust model predictive control was investigated for a class of descriptor systems with time-delay and uncertainty, and the dynamic output feedback control law was considered. The systems were transferred to the piecewise continuous descriptor systems and a piecewise constant control sequence was calculated by minimizing a quadratic optimal objective function. At each sampling period, by means of Lyapunov theory and variable transformation, the optimal problem with infinite horizon objective function was reduced to a convex optimization problem involving linear matrix inequalities. The sufficient conditions on the existence of the dynamic output feedback control were derived. Further, an iterative model predictive control algorithm was proposed for the on-line synthesis of dynamic output feedback controllers with the conditions guaranteeing that the closed-loop descriptor systems were regular, impulse-free and robust stable. Finally, a numerical example was presented to show the effectiveness of the proposed approach.