|A Multi-step Output Feedback Robust MPC Approach for LPV Systems with Bounded Parameter Changes and Disturbance
Xu-Bin Ping*, Peng Wang, and Jia-Feng Zhang
International Journal of Control, Automation, and Systems, vol. 16, no. 5, pp.2157-2168, 2018
Abstract : "This paper considers a multi-step output feedback robust model predictive control (OFRMPC) approach
for the linear parameter varying (LPV) systems with bounded changes of scheduling parameters and bounded
disturbance. Less conservative bounds of future estimation error sets and system parametric uncertain sets are
predicted by considering bounded changes of scheduling parameters in LPV systems. In the multi-step OFRMPC
approach, an optimization problem is solved to obtain a sequence of controller gains, which considers predictions of
future bounds of estimation error sets and system parametric uncertain sets. The optimized sequence of controller
gains corresponding to a sequence of Lyaponov matrices have less constraint conditions and also introduce more
degree of freedom for the optimization. The proposed multi-step OFRMPC guarantees robust uniform ultimately
bounded of the estimation error and robust stability of the observer system. A numerical example is given to
demonstrate the effectiveness of the approach."
Model predictive control, multi-step control, output feedback, uncertain system.