Output feedback model predictive control for LPV systems based on quasi-min–max algorithm

• Published in: Automatica (Oxford) Vol. 47; no. 9; pp. 2052 - 2058
• Main Authors: Park, Jee-Hun, Kim, Tae-Hyoung, Sugie, Toshiharu
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.09.2011; Elsevier
• Subjects: Algorithms; Applied sciences; Computer science; control theory; systems; Control system analysis; Control theory. Systems; Design engineering; Exact sciences and technology; Linear matrix inequality; Linear parameter varying systems; Mathematical models; Model predictive control; Modelling and identification; On-line systems; Optimal control; Output feedback; Predictive control; Stability; State observers; Linear matrix inequality; Model predictive control; Linear parameter varying systems; On line; Robust stability; Feedback regulation; Linear parameter varying system; Closed feedback; Robust control; Time varying system; Indirect method; Minimax method; Off line; Robustness; System identification; State estimation; Output feedback
• ISSN: 0005-1098; 1873-2836
• DOI: 10.1016/j.automatica.2011.06.015

This paper proposes a robust output feedback model predictive control (MPC) scheme for linear parameter varying (LPV) systems based on a quasi-min–max algorithm. This approach involves an off-line design of a robust state observer for LPV systems using linear matrix inequality (LMI) and an on-line robust output feedback MPC algorithm using the estimated state. The proposed MPC method for LPV systems is applicable for a variety of systems with constraints and guarantees the robust stability of the output feedback systems. A numerical example for an LPV system subject to input constraints is given to demonstrate its effectiveness.