In this paper,an adaptive disturbance-rejection proportional–integral–differential(PID)control method is proposed for a class of nonlinear systems.First,PID-type criterion is introduced in a model-free adaptive cont...In this paper,an adaptive disturbance-rejection proportional–integral–differential(PID)control method is proposed for a class of nonlinear systems.First,PID-type criterion is introduced in a model-free adaptive control(MFAC)framework,which gives an optimal control interpretation for PID controller.Then,the design of adaptive disturbance rejection PID is proposed based on this new interpretation to realize controller gain auto-tuning.Due to the ingenious integration of active disturbance rejection and adaptive mechanism,the proposed adaptive disturbance rejection PID control scheme exhibits better control performance than MFAC case.Furthermore,the boundedness of controller gain,the convergence of tracking error and the bounded-input–bounded-output stability are proved for the proposed control system.Finally,the effectiveness of the proposed method is verified by numerical simulation.展开更多
In this paper, a new analysis and design method for proportional-integrative-derivative(PID) tuning is proposed based on controller scaling analysis. Integral of time absolute error(ITAE) index is minimized for specif...In this paper, a new analysis and design method for proportional-integrative-derivative(PID) tuning is proposed based on controller scaling analysis. Integral of time absolute error(ITAE) index is minimized for specified gain and phase margins(GPM)constraints, so that the transient performance and robustness are both satisfied. The requirements on gain and phase margins are ingeniously formulated by real part constraints(RPC) and imaginary part constraints(IPC). This set of new constraints is simply related with three parameters and decoupling of the remaining four unknowns, including three controller parameters and the gain margin, in the nonlinear and coupled characteristic equation simultaneously. The formulas of the optimal GPM-PID are derived based on controller scaling analysis. Finally, this method is applied to liquid level control of coke fractionation tower, which demonstrate that the proposed method provides better disturbance rejection and robust tracking performance than some commonly used PID tuning methods.展开更多
基金This work was supported in part by Huaqiao University(Z14Y0002)in part by the Natural Science Foundation of Fujian Province(2019J01053)+4 种基金Qing-Guo Wang acknowledges the financial support of BNU Talent seed fund,UIC Start-up Fund(R72021115)Guangdong Key Lab of AI and Multi-modal Data Processing(2020KSYS007)the Guangdong Provincial Key Laboratory of Interdisciplinary Research and Application for Data Science(2022B1212010006)Guangdong Higher Education Upgrading Plan 2021-2025(R0400001-22,R0400025-21)UIC,China,which partially funded his research on thiswork.
文摘In this paper,an adaptive disturbance-rejection proportional–integral–differential(PID)control method is proposed for a class of nonlinear systems.First,PID-type criterion is introduced in a model-free adaptive control(MFAC)framework,which gives an optimal control interpretation for PID controller.Then,the design of adaptive disturbance rejection PID is proposed based on this new interpretation to realize controller gain auto-tuning.Due to the ingenious integration of active disturbance rejection and adaptive mechanism,the proposed adaptive disturbance rejection PID control scheme exhibits better control performance than MFAC case.Furthermore,the boundedness of controller gain,the convergence of tracking error and the bounded-input–bounded-output stability are proved for the proposed control system.Finally,the effectiveness of the proposed method is verified by numerical simulation.
基金supported by National Natural Science Foundation of China(Nos.61403149 and 61273069)Natural Science Foundation of Fujian Province(No.2015J01261)the Scientific Research Foundation of National Huaqiao University
文摘In this paper, a new analysis and design method for proportional-integrative-derivative(PID) tuning is proposed based on controller scaling analysis. Integral of time absolute error(ITAE) index is minimized for specified gain and phase margins(GPM)constraints, so that the transient performance and robustness are both satisfied. The requirements on gain and phase margins are ingeniously formulated by real part constraints(RPC) and imaginary part constraints(IPC). This set of new constraints is simply related with three parameters and decoupling of the remaining four unknowns, including three controller parameters and the gain margin, in the nonlinear and coupled characteristic equation simultaneously. The formulas of the optimal GPM-PID are derived based on controller scaling analysis. Finally, this method is applied to liquid level control of coke fractionation tower, which demonstrate that the proposed method provides better disturbance rejection and robust tracking performance than some commonly used PID tuning methods.
