Multilevel Lattice Piecewise Linear Representation and Its Application in Explicit Predictive Control

This paper presents an simple and easy to implement representation for the piecewise linear model. To accomplish this, an optimized lattice piecewise-linear representation is proposed. The optimization process is based on irredundant simplification and multilevel logic optimization. A heuristic algorithm is used to obtain the multilevel form of lattice piecewise linear representations. Besides, a multi-layer network structure is proposed for the implementation of lattice piecewise linear representations. The proposed strategy is applied to explicit model predictive control and the simulation result shows the effectiveness of the multilevel optimization method.