参数自适应Sontag控制器在双模EMPC中的应用

Application of Parametric Adaptive Sontag Controller in Dual-model EMPC

介绍了双模经济模型预测控制(EMPC)方法,并从理论上分析了双模EMPC模式下采用Sontag控制器进行状态驱动的可行性。针对双模EMPC在状态驱动过程中出现的经济次优问题,提出了Sontag控制器参数自适应更新方案。该方案在状态驱动期间根据最有经济性能指标实时修正控制器参数,从而兼顾经济效益和稳定性。从代价函数的角度进行理论推导,确定了参数自适应更新方案的实施步骤。通过一个二阶振荡器实例展示了该方法的有效性和可行性。

In this work, a dual-model EMPC strategy is firstly introduced, followed by stability analysis on Sontag controller driving is- sue. The parametric adaptive Sontag controller is then proposed to solve the economic performance suboptimum problem during the driv- ing process. The parameter of Sontag controller is updated according to optimal economic performance to balance the economic perform- ance as well as stability. Theoretical derivation based on stability cost function is carried out to estiblish the implementing steps. The performance and feasibility of this strategy are illustrated through a second order oscillator example.