Abstract
In this paper, a modified two degrees of freedom Smith control structure is proposed to realize tradeoff tuning strategy between the dynamic performance and system robustness based on analytical optimization of internal model control proportion integration differentiation design method. By analyzing the stability performance of the modified Smith control structure, the control characteristic between the modified Smith control structure and two adjustment parameters is obtained. The different input responses are discussed based on the performance of modified control system. Moreover, the set point response and the disturbance response of the closed-loop system are adjusted by two parameters, respectively. The multiplicative uncertainty plant is imposed into the modified Smith control system to analyze the system robustness from the aspect of the structure uncertainty. The proposed control strategy is applied to the second order plus delay time plant. The simulation result reflects that the modified Smith control structure is the method which is based on the tradeoff between the performance and the robustness tuning strategy.
Highlights
Model error of the controlled plant and long delay time are widely existing problems in the chemical process, and it is important to handle such issues in the chemical process
A modified TDF Smith control structure is proposed to overcome the above deficiencies based on analytical optimization of Internal model control (IMC)-PID design method with considering the tradeoff tuning strategy between the dynamic performance and system robustness
It is used to realize tradeoff tuning strategy between the dynamic performance and system robustness based on analytical optimization of IMC-PID design method
Summary
Model error of the controlled plant and long delay time are widely existing problems in the chemical process, and it is important to handle such issues in the chemical process. Internal model control (IMC)[11] technology is an important control theory originated for the improvement of Smith predictive control, especially for the large dead time process. Singh et al.[19] presented a controller design method of the 2DOF-IMC-PID, which combined with model order reduction technique to control directly full order system model. Zhang et al.[20] proposed a 2DOF method of Smith predictor for the first order plus delay time (FOPDT) processes. A modified TDF Smith control structure is proposed to overcome the above deficiencies based on analytical optimization of IMC-PID design method with considering the tradeoff tuning strategy between the dynamic performance and system robustness. The structure of SOPDT plant with the uncertainty parameters is adopted as the research plant It is significant for the proposed control strategy to extend into the higher order plant. According to the robust control theory,[21] the sensitivity function, which reflects the robustness of control system, can be obtained by the following equation
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