In industrial sites of municipal solid waste incineration (MSWI) processes in developing countries such as China, manual control modes based on domain experts' embodied intelligence are commonly used for stable operation. Flue gas oxygen content is a crucial controlled variable in the MSWI process, where traditional control methods often lack adaptability and robustness under nonlinear uncertainties. To achieve high-precision and robust oxygen content control, this study aims to develop a novel intelligent control strategy. We propose a Bayesian optimization (BO)-based interval type-3 fuzzy broad compensated control method. The core of this approach is a parallel control architecture, which integrates an interval type-3 fuzzy broad learning system (IT3FBLS) constructed from prior knowledge with a conventional proportion integration differentiation (PID) controller. Furthermore, the BO algorithm is introduced to automatically tune the numerous hyperparameters of the hybrid IT3FBLS-PID controller, ensuring optimal performance. Experimental validation using data from an actual MSWI power plant demonstrates that, compared to conventional PID and fuzzy PID controllers, the proposed method achieves smaller steady-state error, faster response speed, and exhibits superior disturbance rejection capability. This work introduces a novel parallel control paradigm that effectively combines the interpretability and adaptability of advanced fuzzy broad learning systems with the stability of classical control. It also offers a practical BO-driven solution for parameter optimization, aimed at enhancing intelligent applications in complex industrial control systems.
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