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Control of Systems Integrating Logic, Dynamics, and Constraints (1998)
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| Venue: | Automatica |
| Citations: | 412 - 50 self |
BibTeX
@ARTICLE{Bemporad98controlof,
author = {Alberto Bemporad and Manfred Morari},
title = {Control of Systems Integrating Logic, Dynamics, and Constraints},
journal = {Automatica},
year = {1998},
volume = {35},
pages = {407--427}
}
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Abstract
This paper proposes 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 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 e#cient solvers have been recently developed. Some examples and a simulation case s...
Keyphrases
system integrating logic mld system integer variable predictive control scheme on-line optimization procedure logic rule desired reference trajectory mixed integer quadratic programming account previous qualitative knowledge cient solver finite state machine simulation case mixed logical dynamical nonlinear system linear dynamic equation interdependent physical law piecewise linear function constrained linear system heuristic rule discrete event system
