Robust constrained model predictive control using linear matrix inequalities
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)
Constrained RHC for LPV systems with bounded rates of parameter variations
Automatica (Journal of IFAC)
Robust constrained predictive control of uncertain norm-bounded linear systems
Automatica (Journal of IFAC)
Technical Communique: A synthesis approach of on-line constrained robust model predictive control
Automatica (Journal of IFAC)
An output feedback robust model predictive controller design based on quasi-min max algorithm
ACC'09 Proceedings of the 2009 conference on American Control Conference
Improving control performance of robust MPC by iterative optimization
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
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This article addresses robust model predictive control (MPC) for systems with polytopic description. An existing off-line robust MPC enables the on-line computation as simple as searching a state feedback gain among the look-up table. We consider enlarging the region of attraction of the off-line MPC by incorporating free perturbation items. First, a larger ellipsoidal region of attraction is off-line constructed, in which a simple optimization problem is solved on-line. Then, outside of this larger ellipsoid, a standard robust MPC is solved on-line such that the overall region of attraction can be rendered as a much larger nonellipsoidal one. The proposed approach possesses all the merits of the off-line MPC and greatly enlarges the region of attraction. A simulation example is given to demonstrate the effectiveness.