(299b) Hybrid Model-Based MPC with Guarantees on Stability and Applicability Domain: Application to Chemical, Biochemical, and Hydraulic Fracturing Systems
AIChE Annual Meeting
2022
2022 Annual Meeting
Computing and Systems Technology Division
Advances in Process Control II
Tuesday, November 15, 2022 - 12:49pm to 1:08pm
Recently, in the field of safety engineering, the concept of Control Barrier Function (CBF) was proposed which in combination with a Control Lyapunov Function (CLF) guarantees safety and stability for nonlinear systems. The proposed control method ensures the stability of the system without it entering the unsafe regions [4]. In this work, we propose to develop a Control Lyapunov-Barrier Function-based model predictive controller (CLBF-MPC) for solving the problem of guarantees on AD and stability of nonlinear systems. First, we build a DNN-based hybrid model for the nonlinear system, define its AD based on the training data, and theoretically, show that its generalization error is bounded within the AD. Second, a CLBF is calculated and then utilized to design an explicit control law which guarantees the convergence of the closed loop system to the steady state without venturing outside the AD. Next, a CLBF-MPC is developed which guarantees stability and avoidance of leaving the AD under sample-and-hold control implementation. Finally, we show the effectiveness of our approach through application to a continuous stirred tank reactor, bioreactor, and hydraulic fracturing systems.
Literature cited:
[1] Shah, P., Sheriff, M.Z., Bangi, M.S.F., Kravaris, C., Kwon, J.S.I., Botre, C., Hirota, J. Deep neural network-based hybrid modeling and experimental validation for an industry-scale fermentation process: Identification of time-varying dependencies among parameters. Chemical Engineering Journal, 135643, 2022.
[2] Alexandridis, A., Stogiannos, M., Papaioannou, N., Zois, E., Sarimveis, H. An inverse neural controller based on the applicability domain of RBF network models. Sensors, 18(1), 2018.
[3] Bangi, M.S.F., Kwon, J.S.I. Deep hybrid modeling of chemical process: application to hydraulic fracturing. Comput. Chem. Eng., 134:106696, 2020.
[4] Romdlonyab, M.Z., Jayawardhanaa, B. Stabilization with guaranteed safety using Control LyapunovâBarrier Function. Automatica, 66:39-47, 2016.