Continuous stirred tank reactor (CSTR) is the most important and widely used reaction equipment in the process industry. The use of an indirect data-driven model predictive control (MPC) plays an important role in controlling the key variable in the CSTR system. However, because of the complex nonlinear dynamics in the reaction process, the existing indirect data-driven MPC strategies are always unable to avoid the problem of unmodeled dynamics, resulting in the inability to ensure the control performance of the system. To this end, this paper designs a new direct data-driven model predictive control (DDMPC) method for the CSTR system under the prescribed performance control (PPC) framework. Using dynamic linearization technology, a converted-output-based equivalent data-driven prediction model in the input–output sense to the original CSTR system is first established to deal with the unknown system dynamics under performance constraints. Then, a prescribed performance function and the converted-output-based data-driven prediction model are directly incorporated into the criterion function to derive the constraint MPC control scheme, which achieves the prescribed performance requirements of the system. Furthermore, the stability of the tracking error and the bounded-input-bounded-output (BIBO) are rigorously proved based on the contractive mapping principle. As a result, the resulting DDMPC control scheme only requires the input and output data of the controlled CSTR system without any explicit model information. In the end, the effectiveness and superiority of the developed control method are demonstrated by a nonlinear CSTR system.
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