Robust Predictive Control for Polytopic Time Singular System with Input Constraints

For polytopic time singular system with inputs constraints, the paper addresses a robust predictive control law using linear matrix inequality (LMI). A piecewise constant control sequence is calculated by minimizing the worst-case linear quadratic objective function. At each sample time, the sufficient conditions on the existence of the model predictive controllers are derived and expressed as linear matrix inequalities. The resulting predictive control law leads to regular, impulse-free and robust stable system, and the performance of this closed-loop system is guaranteed. Finally the numerical imitation shows the effectiveness of the proposed method.