Automatic Offline Formulation of Robust Model Predictive Control Based on Linear Matrix Inequalities Method

Longge Zhang
2013 Abstract and Applied Analysis  
Two automatic robust model predictive control strategies are presented for uncertain polytopic linear plants with input and output constraints. A sequence of nested geometric proportion asymptotically stable ellipsoids and controllers is constructed offline first. Then the feedback controllers are automatically selected with the receding horizon online in the first strategy. Finally, a modified automatic offline robust MPC approach is constructed to improve the closed system's performance. The
more » ... ew proposed strategies not only reduce the conservatism but also decrease the online computation. Numerical examples are given to illustrate their effectiveness.
doi:10.1155/2013/380105 fatcat:lpamfhkbrff4jmfa4ze4lr4eqa