Title :
A Stabilizing Model Predictive Control for Linear Systems with Input Saturation
Author :
Li, Zhi-jun ; Tan, Wen ; Nian, Si-Cheng ; Liu, Ji-zhen
Author_Institution :
Coll. of Electromech. Eng., North China Electr. Power Univ., Beijing
Abstract :
A stabilizing model predictive control (MPC) strategy is proposed for linear systems with input saturation. A saturated linear feedback controller is selected as the local stabilizing controller. The terminal constraint set and terminal cost function can be computed by solving a corresponding semi-definite programming (SDP) problem. Then the control action is obtained by solving a second order cone programming (SOCP) problem on-line. Feasibility of SOCP problem implies the stability of the closed-loop system. Simulation shows that the proposed algorithm has a larger region of attraction than existed stabilizing MPC algorithms
Keywords :
closed loop systems; control nonlinearities; control system synthesis; feedback; linear systems; mathematical programming; optimal control; predictive control; stability; closed-loop system stability; input saturation; linear system; saturated linear feedback controller; second order cone programming problem; semidefinite programming problem; stabilizing model predictive control strategy; terminal constraint set; terminal cost function; Closed loop systems; Control systems; Cost function; Industrial control; Linear systems; Machine learning; Power system modeling; Predictive control; Predictive models; Sampling methods; Stability; Input saturation; Model predictive control; Set invariance; Stability;
Conference_Titel :
Machine Learning and Cybernetics, 2006 International Conference on
Conference_Location :
Dalian, China
Print_ISBN :
1-4244-0061-9
DOI :
10.1109/ICMLC.2006.258397
