TY  - CHAP
AV  - none
TI  - Synthesis of stabilizing model predictive controllers via canonical piecewise affine approximations
CY  - Hilton Atlanta Hotel, Atlanta, December 15-17, 2010
KW  - Lyapunov functions; asymptotic stability; canonical piecewise affine approximation; closed loop system; controller synthesis; linear MPC controllers; model predictive controller stabilization; Lyapunov methods; approximation theory; asymptotic stability; closed loop systems; control system synthesis; linear systems; piecewise linear techniques; predictive control; sampling methods
Y1  - 2010/12//
UR  - http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5717868&isnumber=5716927
A1  - Bemporad, Alberto
A1  - Oliveri, Alberto
A1  - Poggi, Tomaso
A1  - Storace, Marco
SN  - 978-1-4244-7745-6 
PB  - IEEE
N2  - This paper proposes the use of canonical piecewise affine (PWA) functions for the approximation of linear MPC controllers over a regular simplicial partition of a given set of states of interest. Analysis tools based on the construction of PWA Lyapunov functions are provided for certifying the asymptotic stability of the resulting closed-loop system. The main advantage of the proposed controller synthesis approach is that the resulting stabilizing approximate MPC controller can be implemented on chip with sampling times in the order of tens of nanoseconds.
SP  - 5296 
ID  - eprints737
T2  - Decision and Control Conference
EP  - 5301
ER  -