Double self-adaptive fuzzy PID algorithm-based control strategy was proposed to construct quasi-cascade control system to control the speed of the acid-pickling process of titanium plates and strips. It is very useful...Double self-adaptive fuzzy PID algorithm-based control strategy was proposed to construct quasi-cascade control system to control the speed of the acid-pickling process of titanium plates and strips. It is very useful in overcoming non-linear dynamic behavior, uncertain and time-varying parameters, un-modeled dynamics, and couples between the automatic turbulence control (ATC) and the automatic acid temperature control (AATC) with varying parameters during the operation process. The quasi-cascade control system of inner and outer loop self-adaptive fuzzy PID controller was built, which could effectively control the pickling speed of plates and strips. The simulated results and real application indicate that the plates and strips acid pickling speed control system has good performances of adaptively tracking the parameter variations and anti-disturbances, which ensures the match of acid pickling temperature and turbulence of flowing with acid pickling speed, improving the surface quality of plates and strips acid pickling, and energy efficiency.展开更多
This paper presents an optimization and extension program to address limitations in the FitzHugh-Nagumo(FHN)model.The traditional fixed nonlinear term is replaced with a more flexible formulation with an improved inve...This paper presents an optimization and extension program to address limitations in the FitzHugh-Nagumo(FHN)model.The traditional fixed nonlinear term is replaced with a more flexible formulation with an improved inverse N-shaped nonlinear reaction term.The proportional-integral-derivative(PID)algorithm with multivariate characteristics is designed and incorporated into the improved FHN model.The spatiotemporal excited state thresholds are derived for the uncontrolled and controlled models,respectively.The effects and sensitivities of the controller and nonlinear parameters on spatiotemporal dynamics are systematically examined.The stability and direction of spatiotemporal bifurcating periodic solutions are explored.Numerical simulations reveal that the theoretical results established can effectively predict the spatiotemporal bifurcation thresholds of the improved FHN model.The PID controller with multivariate characteristics is able to realize the precise regulation of the spatiotemporal excited state.Furthermore,compared to the only two states observed in the uncontrolled diffusive FHN model(the resting state and the completely excited state),the PID controller with multivariate characteristics enriches the model's dynamical behaviors,including the resting state,the sparsely excited pulse state,the densely excited pulse state,the sparsely excited clustered state,the densely excited clustered state,and the completely excited state.The PID controller enables precise regulation of transitions between the resting and excited states.In particular,the proportional gain effectively modulates the excitation period of the controlled model while preserving its inherent excitation waveforms.Results confirm the controller's effectiveness and underscore the advantages of the proposed control algorithm in optimizing dynamic performance.展开更多
基金Project(51090385) supported by the National Natural Science Foundation of ChinaProject(2001IB001) supported by Yunnan Provincial Science and Technology Fund, China
摘要Double self-adaptive fuzzy PID algorithm-based control strategy was proposed to construct quasi-cascade control system to control the speed of the acid-pickling process of titanium plates and strips. It is very useful in overcoming non-linear dynamic behavior, uncertain and time-varying parameters, un-modeled dynamics, and couples between the automatic turbulence control (ATC) and the automatic acid temperature control (AATC) with varying parameters during the operation process. The quasi-cascade control system of inner and outer loop self-adaptive fuzzy PID controller was built, which could effectively control the pickling speed of plates and strips. The simulated results and real application indicate that the plates and strips acid pickling speed control system has good performances of adaptively tracking the parameter variations and anti-disturbances, which ensures the match of acid pickling temperature and turbulence of flowing with acid pickling speed, improving the surface quality of plates and strips acid pickling, and energy efficiency.
基金supported by the National Natural Science Foundation of China(Grant Nos.62073172,62576098)the Key Project of Natural Science Foundation of Guangxi Province(Grant No.2025GXNSFDA069040)+3 种基金the Natural Science Foundation of Jiangsu Province of China(Grant No.BK20221329)the Postgraduate Research and Practice Innovation Program of Jiangsu Province(Grant No.KYCX231060)the program“Excellence Initiative-research University”for the AGH University of Kraków,the ARTIQ project(Grant Nos.UMO2021/01/2/ST6/00004,ARTIQ/0004/2021)the Polish Ministry of Science and Higher Education funds assigned to the AGH University of Kraków。
摘要This paper presents an optimization and extension program to address limitations in the FitzHugh-Nagumo(FHN)model.The traditional fixed nonlinear term is replaced with a more flexible formulation with an improved inverse N-shaped nonlinear reaction term.The proportional-integral-derivative(PID)algorithm with multivariate characteristics is designed and incorporated into the improved FHN model.The spatiotemporal excited state thresholds are derived for the uncontrolled and controlled models,respectively.The effects and sensitivities of the controller and nonlinear parameters on spatiotemporal dynamics are systematically examined.The stability and direction of spatiotemporal bifurcating periodic solutions are explored.Numerical simulations reveal that the theoretical results established can effectively predict the spatiotemporal bifurcation thresholds of the improved FHN model.The PID controller with multivariate characteristics is able to realize the precise regulation of the spatiotemporal excited state.Furthermore,compared to the only two states observed in the uncontrolled diffusive FHN model(the resting state and the completely excited state),the PID controller with multivariate characteristics enriches the model's dynamical behaviors,including the resting state,the sparsely excited pulse state,the densely excited pulse state,the sparsely excited clustered state,the densely excited clustered state,and the completely excited state.The PID controller enables precise regulation of transitions between the resting and excited states.In particular,the proportional gain effectively modulates the excitation period of the controlled model while preserving its inherent excitation waveforms.Results confirm the controller's effectiveness and underscore the advantages of the proposed control algorithm in optimizing dynamic performance.