TY  - CHAP
PB  - IEEE
EP  - 1650
CY  - Orlando, Florida USA, December 2001
SP  - 1645
A1  - Bemporad, Alberto
A1  - Heemels, W.P.M.H.
A1  - De Schutter, Bart
T2  - Decision and Control Conference
AV  - none
TI  - On hybrid systems and closed-loop MPC systems
ID  - eprints584
UR  - http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=981137&isnumber=21128
KW  - bounded system variables; closed-loop system; equivalences; hybrid plants; hybrid systems; input variables; linear complementarity systems; linear constraints;linear model;linear plants; max-min-plus-scaling systems; mixed logical-dynamical systems; model predictive control; piecewise affine systems; robust stability; safety analysis; state variables; closed loop systems; predictive control; safety; stability
SN  - 0-7803-7061-9 
Y1  - 2001///
M1  - 2
N2  - The following five classes of hybrid systems were proved by W.P.M.H. Heemels et al. (2001) to be equivalent: linear complementarity (LC) systems, extended linear complementarity (ELC) systems, mixed logical-dynamical (MLD) systems, piecewise affine (PWA) systems and max-min-plus-scaling (MMPS) systems. Some of the equivalences were obtained under additional assumptions, such as boundedness of system variables. In this paper, for closed-loop linear or hybrid plants with model-predictive control (MPC) based on a linear model and fulfilling linear constraints on the input and state variables, we provide a simple and direct proof that the closed-loop system (cl-MPC) is a subclass of any of the former five classes of hybrid systems. This result opens up the use of tools developed for hybrid systems (such as stability, robust stability and safety analysis tools) to study the closed-loop properties of MPC
ER  -