TY  - CHAP
SP  - 4957
PB  - IEEE
A1  - Bemporad, Alberto
A1  - Torrisi, Fabio Danilo
A1  - Morari, Manfred
Y1  - 2000///
CY  - Sydney, Australia December, 2000
T2  - Decision and Control Conference
EP  - 4962
ID  - eprints574
M1  - 5
N2  - Bemporad and Morari (1999) provided a tool for obtaining the explicit solution of constrained model predictive control (MPG) problems by showing that the control law is a continuous piecewise affine (PWA) function of the state vector. Therefore, the feedback interconnection between the MPC controller and a linear system, or a PWA system (e.g., a PWA approximation of a nonlinear system), is a PWA system. For discrete-time PWA and hybrid systems, the present authors (2000) presented an algorithm for verification/reachability analysis. In this paper, we formulate the performance analysis problem of closed-loop PWA systems (including MPC feedback loops where the prediction model and the plant model could be different) as a reachability analysis problem, and use our algorithm to obtain a tool for characterizing (i) the set of states for which the evolution is feasible, (ii) the domain of stability, (iii) the performance of the closed-loop
SN  - 0-7803-6638-7 
UR  - http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=914718&isnumber=19751
KW  - continuous piecewise affine function; feedback interconnection; feedback loops; hybrid systems; model predictive control systems; performance analysis; piecewise linear systems; plant model; prediction model; reachability analysis problem; stability domain; control system analysis; feedback; linear systems; predictive control; reachability analysis; stability
AV  - none
TI  - Performance analysis of piecewise linear systems and model predictive control systems
ER  -