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Abstract The inherent time‐lag effects, nonlinear dependencies, and dynamic coupling mechanisms in desulphurization processes pose significant challenges to precise quality prediction and proactive control. This study presents a novel collaborative optimization framework integrating causal inference with temporal feature engineering to achieve dynamic early warning and intelligent control. Methodologically, we first develop a multi‐modal time‐lag estimation approach combining dynamic time warping, Granger causality tests, and time‐delayed mutual information, resolving temporal asynchrony between process variables through dynamic programming and information‐theoretic analysis. Building upon this, a dynamic autoregressive latent variable model (DALM) with Bayesian estimation is established to capture cross‐variable interaction dynamics, enhanced by a long short‐term memory (LSTM)‐based architecture with attention mechanisms for nonlinear temporal dependency modelling. The proposed early‐warning system synergizes anomaly detection (isolation forest/one‐class SVM/autoencoder triad) with NOTEARS‐optimized causal graphs, achieving 93.1% prediction accuracy (AUC = 0.98) through multi‐feature fusion of temporal patterns, causal drivers, and multivariate anomalies. For control optimization, formulate a hybrid MPC strategy incorporating warning‐adaptive penalty terms, demonstrating 89.2% warning probability alignment with quality deviations while the concentrations of SO 2 /H 2 S are kept within a fixed range through restricted reactor feed flow adjustment. Validations confirm the framework reduces unplanned shutdowns by 37% compared to conventional PID control, with R 2 = 0.9144 for SO 2 and 0.9114 for H 2 S concentration predictions. This work provides a systematic solution addressing temporal‐causal decoupling challenges in complex chemical processes, significantly advancing intelligent optimization in pollution control systems.
Li et al. (Mon,) studied this question.