Ensuring nominal asymptotic stability of the Nonlinear Model Predictive Control controller is not trivial. Stabilizing ingredients such as terminal penalty term and terminal region are crucial in establishing the asymptotic stability. Current work presents alternate approaches namely arbitrary controller based approach and linear quadratic regulator based approach, which provide larger degrees of freedom for enlarging the terminal region as against conservative approaches from the literature. Efficacy of the proposed approaches is demonstrated using benchmark two state continuous stirrer tank reactor system around an unstable operating point. Terminal regions obtained using the arbitrary controller based approach and linear quadratic regulator based approach are approximately 45 and 412 times larger by area measure when compared to the largest terminal region obtained using the approach from the literature. As a result, there is significant reduction in the prediction and control horizon time.

确保非线性模型预测控制控制器的标称渐近稳定性并非易事。终端惩罚项和终端区域等稳定成分对于建立渐近稳定性至关重要。当前的工作提出了替代方法，即基于任意控制器的方法和基于线性二次调节器的方法，与文献中的保守方法相比，它们为扩大终端区域提供了更大的自由度。使用在不稳定操作点附近的基准两态连续搅拌罐反应器系统证明了所提出方法的有效性。与使用文献中的方法获得的最大终端区域相比，使用基于任意控制器的方法和基于线性二次调节器的方法获得的终端区域大约是面积测量的 45 和 412 倍。结果，预测和控制范围时间显着减少。