Journal of Optimization Theory and Applications
Model predictive control: theory and practice—a survey
Automatica (Journal of IFAC)
On the choice of the horizon in long-range predictive control—some simple criteria
Automatica (Journal of IFAC)
Stable redesign of predictive control
Automatica (Journal of IFAC)
Robust constrained model predictive control using linear matrix inequalities
Automatica (Journal of IFAC)
On Stability of Constrained Receding Horizon Control with Finite Terminal Weighting Matrix
Automatica (Journal of IFAC)
Survey Constrained model predictive control: Stability and optimality
Automatica (Journal of IFAC)
Quasi-Min-Max MPC algorithms for LPV systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
An efficient model predictive controller with pole placement
Information Sciences: an International Journal
Automatica (Journal of IFAC)
Observer-based robust constrained model predictive control
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Constrained linear MPC with time-varying terminal cost using convex combinations
Automatica (Journal of IFAC)
Technical Communique: A synthesis approach of on-line constrained robust model predictive control
Automatica (Journal of IFAC)
Hi-index | 22.15 |
In this paper a linear model-based predictive control (MPC) algorithm is presented, for which nominal closed-loop stability is guaranteed. The input is obtained by minimizing a quadratic performance index over a finite horizon plus an end-point state (EPS) penalty, subject to input, state and output constraints. Under certain conditions, the weighting matrix in the EPS penalty enables one to specify an invariant ellipsoid in which the input, state and output constraints are satisfied. In existing MPC algorithms this weighting matrix is calculated off-line. The main contribution of this paper is to incorporate the calculation of the EPS-weighting matrix into the on-line optimization problem of the controller. The main advantage of this approach is that a natural and automatic trade-off between feasibility and optimality is obtained. This is demonstrated in a simulation example.