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.
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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 -