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 |
| Pages | 119-125 |
| Number of pages | 7 |
| Volume | 4 |
| Edition | PART 1 |
| DOIs | |
| 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 |
Conference
| Conference | 4th IFAC Conference on Nonlinear Model Predictive Control, NMPC'12 |
|---|---|
| Country | Netherlands |
| City | Noordwijkerhout |
| Period | 8/23/12 → 8/27/12 |
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ASJC Scopus subject areas
- Control and Systems Engineering
Cite this
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. 2012. p. 119-125.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
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
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.
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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
SN - 9783902823076
VL - 4
SP - 119
EP - 125
BT - NMPC'12 - IFAC Conference on Nonlinear Model Predictive Control, Conference Program
ER -