Title
Synthesis of stabilizing model predictive controllers via canonical piecewise affine approximations
Abstract
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.
Year
DOI
Venue
2010
10.1109/CDC.2010.5717868
Decision and Control
Keywords
Field
DocType
Lyapunov methods,approximation theory,asymptotic stability,closed loop systems,control system synthesis,linear systems,piecewise linear techniques,predictive control,sampling methods,Lyapunov functions,asymptotic stability,canonical piecewise affine approximation,closed loop system,controller synthesis,linear MPC controllers,model predictive controller stabilization
Affine transformation,Lyapunov function,Mathematical optimization,Control theory,Linear system,Computer science,Control theory,Model predictive control,Approximation theory,Exponential stability,Piecewise
Conference
ISSN
ISBN
Citations 
0743-1546
978-1-4244-7745-6
2
PageRank 
References 
Authors
0.44
16
4
Name
Order
Citations
PageRank
Alberto Bemporad14353568.62
Alberto Oliveri28412.20
Tomaso Poggi3896.38
Marco Storace431947.42