Bilevel optimization based multi-model modeling method for nonlinear systems
基于双层优化的非线性系统多模型建模方法

With reference to the multi-species partition and the hierarchy evolutionary, a bilevel optimization based multiple-model modeling method was introduced to deal with the modeling problem of nonlinear systems. The multiple-model modeling problem was transformed to a bilevel optimization problem, with the optimal partition being realized by means of the multi-species at the upper levels, and the parameters of each local model in the species being optimized at the lower levels, which effectively avoided the local minimum problem caused by the simultaneous optimization of multiple parameters. Finally, the Particle Swarm Optimization (PSO) algorithm was employed to solve the problem, and a simulation example indicated the effectiveness of the proposed modeling method.