Relatively optimal control: A static piecewise-affine solution

SIAM Journal on Control and Optimization

Volumn 46, Issue 2, 2007, Pages 585-603

  Blanchini, Franco ^a   Pellegrino, Felice Andrea ^b  

^a UNIVERSITY OF UDINE   (Italy)

^b UNIVERSITY OF TRIESTE   (Italy)

Author keywords

Discrete time systems; Invariance; Linear systems; Optimal control

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; INVARIANCE; LINEAR SYSTEMS;

DISCRETE-TIME LINEAR SYSTEMS; LINEAR DYNAMICS; POLYHEDRAL SETS; ZERO TERMINAL CONSTRAINT;

OPTIMAL CONTROL SYSTEMS;

EID: 39549093909     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/050643180     Document Type: Article

References (13)

1. A. BEMPORAD, M. MORARI, V. DUA, AND E. N. PISTIKOPOULOS, The explicit linear quadratic regulator for constrained systems, Automatica J. IFAC, 38 (2002), pp. 3-20.
2. A. BEMPORAD, F. BORRELLI, AND M. MORARI, Model predictive control based on linear programming-the explicit solution, IEEE Trans. Automat. Control, 47 (2002), pp. 1974-1985.
3. F. BLANCHINI, Nonquadratic Lyapunov functions for robust control, Automatica J. IFAC, 31 (1995), pp. 451-561.
4. F. BLANCHINI, Set invariance in control, Automatica J. IFAC, 35 (1999), pp. 1747-1767.
5. F. BLANCHINI AND F. A. PELLEGRINO, Relatively optimal control and its linear implementation, IEEE Trans. Automat. Control, 48 (2003), pp. 2151-2162.
6. F. BLANCHINI AND F. A. PELLEGRINO, Relatively optimal control with characteristic polynomial assignment and output feedback, IEEE Trans. Automat. Control, 51 (2006), pp. 183-191.
7. D. S. BURNETT, Finite Element Analysis, Addison-Wesley, Reading, MA, 1987.
8. J. A. DELOERA, J. RAMBAU, AND F. SANTOS, Triangulations of Point Sets, in preparation.
9. P. O. GUTMAN AND M. CWIKEL, An algorithm to find maximal state constraint sets for discrete-time linear dynamical systems with bounded control and states, IEEE Trans. Automat. Control, 32 (1987), pp. 251-254.
10. D. Q. MAYNE, Control of constrained dynamic systems, European J. Control, 7 (2001), pp. 87-99.
11. A. RANTZER AND M. JOHANSSON, Piecewise linear quadratic optimal control, IEEE Trans. Automat. Control, 45 (2000), pp. 629-637.
12. K. IMAI, Structures of triangulations of points, IEICE Trans. Inform. Systems, E83-D (2000), pp. 428-437.
13. G. M. ZIEGLER, Lectures on Polytopes, Springer-Verlag, New York, 1995.