Institut fur Automatik
ETH - Swiss Federal Institute of Technology
ETHZ - ETL, CH 8092 Zurich, Switzerland
tel. +41-1-632 6679, fax +41-1-632 1211
bemporad@aut.ee.ethz.ch

Predictive Control of Systems Integrating Logic, Dynamics, and Constraints

(Based on the work with Prof. M. Morari, ETH, Switzerland)

We propose a framework for modeling and controlling systems described by interdependent physical laws, logic rules, and operating constraints, denoted as Mixed Logical Dynamical (MLD) systems. These are hybrid systems described by linear dynamic equations subject to linear inequalities involving real and integer variables. MLD systems include constrained linear systems, finite state machines, some classes of discrete event systems, and nonlinear systems which can be approximated by piecewise linear functions. A predictive control scheme is proposed which is able to stabilize MLD systems on desired reference trajectories while fulfilling operating constraints, and possibly take into account previous qualitative knowledge in the form of heuristic rules. Due to the presence of integer variables, the resulting on-line optimization procedures are solved through Mixed Integer Quadratic Programming (MIQP), for which efficient solvers have been recently developed. Some examples and a simulation case study on a complex gas supply system are reported.