Robust constrained model predictive control using linear matrix inequalities
Automatica (Journal of IFAC)
A Quasi-Infinite Horizon Nonlinear Model Predictive Control Scheme with Guaranteed Stability
Automatica (Journal of IFAC)
On Stability of Constrained Receding Horizon Control with Finite Terminal Weighting Matrix
Automatica (Journal of IFAC)
Constrained linear time-varying quadratic regulation with guaranteed optimality
International Journal of Systems Science
An efficient model predictive controller with pole placement
Information Sciences: an International Journal
Constrained RHC for LPV systems with bounded rates of parameter variations
Automatica (Journal of IFAC)
Constrained linear MPC with time-varying terminal cost using convex combinations
Automatica (Journal of IFAC)
Hi-index | 22.15 |
In this paper, a new stabilizing receding horizon control (RHC) scheme is proposed for linear discrete time-varying systems, which can be easily implemented by using linear matrix inequality (LMI) optimization. The control scheme is based on the minimization of the finite horizon cost with a finite terminal weighting matrix. The resulting stabilizing RHC scheme leads to time-varying finite terminal weighting matrices even for time-invariant systems, which is more general than in the case of using constant matrices. Based on the proposed scheme, another implementation method is also discussed for easy computation and numerical feasibility consideration of LMI optimization, although the second method does not guarantee the closed-loop stability theoretically. Through a simulation example, the effectiveness of the proposed schemes is illustrated.