Approximate explicit MPC on simplicial partitions with guaranteed stability for constrained linear systems

Matteo Rubagotti; Davide Barcelli; Alberto Bemporad

doi:10.3182/20120823-5-NL-3013.00014

Approximate explicit MPC on simplicial partitions with guaranteed stability for constrained linear systems

Matteo Rubagotti, Davide Barcelli, Alberto Bemporad

Nazarbayev University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 Citations (Scopus)

Abstract

This paper proposes an approximate explicit model predictive control design approach for regulating linear time-invariant systems subject to both state and control constraints. The proposed control law is implemented as a piecewise-affine function defined on a regular simplicial partition, and has two main positive features. First, the regularity of the simplicial partition allows a very efficient implementation of the control law on digital circuits, with computation performed in tens of nanoseconds. Second, the asymptotic stability of the closed-loop system is enforced a priori by design.

Original language	English
Title of host publication	NMPC'12 - IFAC Conference on Nonlinear Model Predictive Control, Conference Program
Publisher	IFAC Secretariat
Pages	119-125
Number of pages	7
Volume	4
Edition	PART 1
ISBN (Print)	9783902823076
DOIs	https://doi.org/10.3182/20120823-5-NL-3013.00014
Publication status	Published - Oct 9 2012
Event	4th IFAC Conference on Nonlinear Model Predictive Control, NMPC'12 - Noordwijkerhout, Netherlands Duration: Aug 23 2012 → Aug 27 2012

Publication series

Name	IFAC Proceedings Volumes (IFAC-PapersOnline)
Number	PART 1
Volume	4
ISSN (Print)	1474-6670

Conference

Conference	4th IFAC Conference on Nonlinear Model Predictive Control, NMPC'12
Country/Territory	Netherlands
City	Noordwijkerhout
Period	8/23/12 → 8/27/12

ASJC Scopus subject areas

Control and Systems Engineering

Access to Document

10.3182/20120823-5-NL-3013.00014

Cite this

Rubagotti, M., Barcelli, D., & Bemporad, A. (2012). Approximate explicit MPC on simplicial partitions with guaranteed stability for constrained linear systems. In NMPC'12 - IFAC Conference on Nonlinear Model Predictive Control, Conference Program (PART 1 ed., Vol. 4, pp. 119-125). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 4, No. PART 1). IFAC Secretariat. https://doi.org/10.3182/20120823-5-NL-3013.00014

Approximate explicit MPC on simplicial partitions with guaranteed stability for constrained linear systems. / Rubagotti, Matteo; Barcelli, Davide; Bemporad, Alberto.
NMPC'12 - IFAC Conference on Nonlinear Model Predictive Control, Conference Program. Vol. 4 PART 1. ed. IFAC Secretariat, 2012. p. 119-125 (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 4, No. PART 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Rubagotti, M, Barcelli, D & Bemporad, A 2012, Approximate explicit MPC on simplicial partitions with guaranteed stability for constrained linear systems. in NMPC'12 - IFAC Conference on Nonlinear Model Predictive Control, Conference Program. PART 1 edn, vol. 4, IFAC Proceedings Volumes (IFAC-PapersOnline), no. PART 1, vol. 4, IFAC Secretariat, pp. 119-125, 4th IFAC Conference on Nonlinear Model Predictive Control, NMPC'12, Noordwijkerhout, Netherlands, 8/23/12. https://doi.org/10.3182/20120823-5-NL-3013.00014

Rubagotti M, Barcelli D, Bemporad A. Approximate explicit MPC on simplicial partitions with guaranteed stability for constrained linear systems. In NMPC'12 - IFAC Conference on Nonlinear Model Predictive Control, Conference Program. PART 1 ed. Vol. 4. IFAC Secretariat. 2012. p. 119-125. (IFAC Proceedings Volumes (IFAC-PapersOnline); PART 1). doi: 10.3182/20120823-5-NL-3013.00014

@inproceedings{a2d600ebe2a24aa398eb4c036d4b9539,

title = "Approximate explicit MPC on simplicial partitions with guaranteed stability for constrained linear systems",

abstract = "This paper proposes an approximate explicit model predictive control design approach for regulating linear time-invariant systems subject to both state and control constraints. The proposed control law is implemented as a piecewise-affine function defined on a regular simplicial partition, and has two main positive features. First, the regularity of the simplicial partition allows a very efficient implementation of the control law on digital circuits, with computation performed in tens of nanoseconds. Second, the asymptotic stability of the closed-loop system is enforced a priori by design.",

author = "Matteo Rubagotti and Davide Barcelli and Alberto Bemporad",

note = "Funding Information: ★This work was partially supported by the European Commission under project FP7-INFSO-ICT-248858 “MOBY-DIC – Model-based synthesis of digital electronic circuits for embedded control”.; 4th IFAC Conference on Nonlinear Model Predictive Control, NMPC'12 ; Conference date: 23-08-2012 Through 27-08-2012",

year = "2012",

month = oct,

day = "9",

doi = "10.3182/20120823-5-NL-3013.00014",

language = "English",

isbn = "9783902823076",

volume = "4",

series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",

publisher = "IFAC Secretariat",

number = "PART 1",

pages = "119--125",

booktitle = "NMPC'12 - IFAC Conference on Nonlinear Model Predictive Control, Conference Program",

address = "Austria",

edition = "PART 1",

}

TY - GEN

T1 - Approximate explicit MPC on simplicial partitions with guaranteed stability for constrained linear systems

AU - Rubagotti, Matteo

AU - Barcelli, Davide

AU - Bemporad, Alberto

N1 - Funding Information: ★This work was partially supported by the European Commission under project FP7-INFSO-ICT-248858 “MOBY-DIC – Model-based synthesis of digital electronic circuits for embedded control”.

PY - 2012/10/9

Y1 - 2012/10/9

N2 - This paper proposes an approximate explicit model predictive control design approach for regulating linear time-invariant systems subject to both state and control constraints. The proposed control law is implemented as a piecewise-affine function defined on a regular simplicial partition, and has two main positive features. First, the regularity of the simplicial partition allows a very efficient implementation of the control law on digital circuits, with computation performed in tens of nanoseconds. Second, the asymptotic stability of the closed-loop system is enforced a priori by design.

AB - This paper proposes an approximate explicit model predictive control design approach for regulating linear time-invariant systems subject to both state and control constraints. The proposed control law is implemented as a piecewise-affine function defined on a regular simplicial partition, and has two main positive features. First, the regularity of the simplicial partition allows a very efficient implementation of the control law on digital circuits, with computation performed in tens of nanoseconds. Second, the asymptotic stability of the closed-loop system is enforced a priori by design.

UR - http://www.scopus.com/inward/record.url?scp=84867033843&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84867033843&partnerID=8YFLogxK

U2 - 10.3182/20120823-5-NL-3013.00014

DO - 10.3182/20120823-5-NL-3013.00014

M3 - Conference contribution

AN - SCOPUS:84867033843

SN - 9783902823076

VL - 4

T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)

SP - 119

EP - 125

BT - NMPC'12 - IFAC Conference on Nonlinear Model Predictive Control, Conference Program

PB - IFAC Secretariat

T2 - 4th IFAC Conference on Nonlinear Model Predictive Control, NMPC'12

Y2 - 23 August 2012 through 27 August 2012

ER -

Approximate explicit MPC on simplicial partitions with guaranteed stability for constrained linear systems

Abstract

Publication series

Conference

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this