Use of dynamic programming for the analytical solution of input-constrained LQR problems

2004 5th Asian Control Conference

Volumn 1, Issue , 2004, Pages 442-448

  Mare, José B ^a   De Doná, José A ^a  

^a UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMIC PROGRAMMING; ELECTRIC POTENTIAL; LINEAR SYSTEMS; LINEARIZATION; MATRIX ALGEBRA; OPTIMIZATION; PROBLEM SOLVING; QUADRATIC PROGRAMMING; THEOREM PROVING;

INERTIAL LOADS; INPUT-CONSTRAINED LQR PROBLEMS; LINEAR INEQUALITIES; MULTI-PARAMETRIC QUADRATIC PROGRAMMING;

CONSTRAINT THEORY;

EID: 16244372080     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (6)

1. R. Bellman. Dynamic Programming. Princeton University Press, Princeton, New Jersey, USA, 1957.
2. A. Bemporad, M. Morari, V. Dua, and E. Pistikopoulos. The explicit linear quadratic regulator for constrained systems. Automatica, Vol. 38:pp. 3-20, 2002.
3. J. De Doná and G. Goodwin. Elucidation of the state-space regions wherein model predictive control and anti-windup strategies achieve identical control policies. In Proceedings of the 2000 American Control Conference, Chicago, Illinois, USA, 2000.
4. J. De Doná, G. Goodwin, and M. Seron. Antiwindup and model predictive control: Reflections and connections. European Journal of Control, Vol.6, No.5:pp.467-477, 2000.
5. J. Rawlings and K. Muske. Stability of constrained receding horizon control. IEEE Trans. on Automatic Control, Vol. 38, No. 10:pp. 1512-1516, 1993.
6. M. Seron, G. Goodwin, and J. De Doná. Characterisation of receding horizon control for constrained linear systems. Asian Journal of Control, Vol. 5:pp. 271-286, 2003.