(42a) Distributed Lyapunov-Based Model Predictive Control with Safety-Based Constraints
In this work, we propose the integration of a distributed model predictive control architecture with Lyapunov-based model predictive control (LMPC) and Lyapunov-based economic model predictive control (LEMPC) formulated with safety-based constraints. We consider both iterative and sequential distributed control architectures, and the partitioning of inputs between the various optimization problems in the distributed structure based on their impact on process safety. In addition, we investigate the conditions required for guaranteed feasibility and closed-loop stability of the algorithm, and discuss the termination of the algorithm and computation time benefits. Through a chemical process example, we demonstrate the proposed controller design and the effects of the control architecture on process safety considerations, and compare the time required to reach the safety level set and the computation time of the algorithm with that which can be achieved under a centralized safety-based model predictive control scheme.
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