eprintid: 445
rev_number: 10
eprint_status: archive
userid: 7
dir: disk0/00/00/04/45
datestamp: 2011-07-27 09:19:34
lastmod: 2014-07-16 13:52:23
status_changed: 2011-07-27 09:19:34
type: article
metadata_visibility: show
item_issues_count: 0
creators_name: Bemporad, Alberto
creators_name: Casavola, Alessandro
creators_name: Mosca, Edoardo
creators_id: alberto.bemporad@imtlucca.it
creators_id: 
creators_id: 
title: Nonlinear control of constrained linear systems via predictive reference management
ispublished: pub
subjects: QA75
subjects: TJ
divisions: CSA
full_text_status: none
keywords: asymptotic stability; compensation; computational complexity; convex programming; nonlinear control systems; nonlinear programming
    predictive control
    quadratic programming
abstract: A method based on conceptual tools of predictive control is described for solving set-point tracking problems wherein pointwise-in-time input and/or state inequality constraints are present. It consists of adding to a primal compensated system a nonlinear device, called command governor (CG), whose action is based on the current state, set-point, and prescribed constraints. The CG selects at any time a virtual sequence among a family of linearly parameterized command sequences, by solving a convex constrained quadratic optimization problem, and feeds the primal system according to a receding horizon control philosophy. The overall system is proved to fulfill the constraints, be asymptotically stable, and exhibit an offset-free tracking behavior, provided that an admissibility condition on the initial state is satisfied. Though the CG can be tailored for the application at hand by appropriately choosing the available design knobs, the required online computational load for the usual case of affine constraints is well tempered by the related relatively simple convex quadratic programming problem
date: 1997-03
date_type: published
publication: IEEE Transactions on Automatic Control 
volume: 42
number: 3
publisher: IEEE 
pagerange: 340-349
id_number: 10.1109/9.557577
refereed: TRUE
issn: 0018-9286
official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=557577&isnumber=12164
funders: This work was supported in part by MURST within the National Research Project “Identificazione di modelli, controllo di sistemi, elaborazione di segnali.”
citation:   Bemporad, Alberto and Casavola, Alessandro and Mosca, Edoardo  Nonlinear control of constrained linear systems via predictive reference management.  IEEE Transactions on Automatic Control , 42 (3).  pp. 340-349.  ISSN 0018-9286      (1997)