Title :
Robust model predictive control of singular systems
Author :
Zhang, Liqian ; Huang, Biao
Author_Institution :
Dept. of Chem. & Mater. Eng., Univ. of Alberta, Edmonton, Alta., Canada
fDate :
6/1/2004 12:00:00 AM
Abstract :
This note is concerned with model predictive control for linear singular systems with time-varying uncertainties. 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 control are derived and expressed as linear matrix inequalities. The robust stability of the closed-loop systems is guaranteed by the proposed design method.
Keywords :
closed loop systems; linear matrix inequalities; linear quadratic control; linear systems; piecewise constant techniques; predictive control; robust control; time-varying systems; uncertain systems; closed loop systems; linear matrix inequalities; linear quadratic objective function; linear singular systems; model predictive control; piecewise constant control sequence; robust control; robust stability; time-varying uncertainties; Linear matrix inequalities; Linear systems; Power system modeling; Predictive control; Predictive models; Robust control; Robust stability; Robustness; Sufficient conditions; Time varying systems; LMI; Linear matrix inequality; MPC; model predictive control; robust control; singular systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2004.829634