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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。
The dual mode economic model predictive control (EMPC) method is introduced and the feasibility of using Sontag controller for state driving in dual mode EMPC mode is analyzed theoretically. Aiming at the economic suboptimal problem of dual-mode EMPC in state-driven process, an adaptive updating scheme of Sontag controller parameters is proposed. During the state-driven period, the program real-time corrects the controller parameters according to the most economical performance index so as to balance economic benefits and stability. From the perspective of cost function, the theoretical derivation is made, and the implementation steps of parameter adaptive updating scheme are determined. An example of a second-order oscillator shows the effectiveness and feasibility of this method.