An Adaptive PID Controller for Reinforcement of Carbon Steel:Performance Analysis using MATLAB Simulink RamakrishnanSumathi
نویسندگان
چکیده
The strength of any material is dependent on the grain size and percentage of volume fraction recrystallization. In this Paper, a new approach for controlling microstructure development during hot working process by percentage of volume fraction recrystallization is proposed. Here two different methods are employed. One of the approaches is based on the Optimal Control theory and involves the developing of state space models to describe the material behavior and the mechanics of the process. This approach is applied to obtain the desired percentage of volume fraction recrystallization of ‘1’ from an initial value of ‘0’. The standard Arrehenious equation of 0.3% carbon steel is utilized to obtain an optimal deformation path such that the percentage of volume fraction recrystallization should be 1. The plant model is developed and an appropriate optimality criterion is selected to maintain strain, strain rate and temperature. The state-space model together with an optimality criterion is used to control the percentage of volume fraction recrystallization using Linear Quadratic Regulator method. In the other approach PID controller is employed for the plant model (microstructure development). The simulation is done on various values for percentage of volume fraction recrystallization using both the controllers by MATLAB simulink toolbox. When comparing the responses, the PID controller provides better performance compared with LQR. Resulting tabulated performance indices showed a considerable improvement in settling time besides reducing steady state error.
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