A systematic method for optimally partitioning operating range of each linear subsystem in output space under the criterion of closed-loop performance is initiated, when a multiple model approach is applied to nonlinear systems. As a result, an integrated output space partition and optimal control method is proposed. Firstly, linear input-output models are identified at given operating points and then reformulated as a hybrid model underlying each state having the same physical meaning. Secondly, the optimal state space partition is obtained according to a closed-loop control index. Finally, based on the obtained optimal state space partition, an optimal output space partition is achieved with the projection technique. Furthermore, a hybrid model-MPC strategy is designed according to the obtained multiple-model associated with its optimal output space partition. The integrated output space partition and optimal control method can improve the nonlinear system overall control performance and results of numerical simulation are provided.

当将多模型方法应用于非线性系统时，就提出了一种在闭环性能准则下优化分配每个线性子系统在输出空间中的工作范围的系统方法。因此，提出了一种集成的输出空间划分和最优控制方法。首先，在给定的工作点识别线性输入输出模型，然后将其重新构造为具有相同物理含义的每种状态的基础的混合模型。其次，根据闭环控制指标获得最优状态空间划分。最后，基于获得的最佳状态空间分区，使用投影技术获得了最佳输出空间分区。此外，根据获得的与其最优输出空间分区相关的多模型，设计了一种混合模型-MPC策略。集成的输出空间划分和最优控制方法可以改善非线性系统的整体控制性能，并提供了数值模拟的结果。