A New feedback gain matrix based LQR PI Controller for Integrator time delay process

Year 2017, Volume: 30 Issue: 4, 232 - 251, 11.12.2017

Harshavardhana Reddy K Prabhu Ramanathan

Abstract

In
this paper, a Linear Quadratic Regulator (LQR) based PI controller is proposed
for the integrator plus time delay process (IPTD). In LQR PI controller design
process the selection of weight matrices ‘Q’ plays a key role in order to
minimize settling time, peak overshoot and Integral Errors. So, In order to
improve the system performance, a new feedback gain matrix is proposed for the
optimal selection of weight matrices in the controller design.  First,
the LQR PI controller is designed for First
order time delay process (FOPDT) and then
grabbed the formulas for IPTD process by assuming the state variable as zero.
The simulation results are presented to validate the proposed method by using
different IPTD process. The proposed controller is also experimentally
validated on a temperature control process. 

Keywords

LQR; Skew symmetric matrix; IPTD process; Control Matrix; PI Controller; Riccati equation

References

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