A simple method of tuning parallel cascade controllers for unstable FOPTD systems.
A simple method is proposed to design parallel cascade controllers for open loop unstable processes. A proportional (P)controller is considered for the secondary loop and a proportional integral (PI) controller is considered for the primary loop (P/PI control configuration). Coefficients of the corresponding powers of s (Laplace variable), in the numerator is matched with the coefficients of the corresponding powers of s in the denominator of a closed loop transfer function for a servo problem. Three simulation case studies are considered in this paper. The first case involves a stable secondary loop process and an unstable primary process, the second case involves both unstable primary and secondary processes and the third one, a simulation application to a nonlinear bioreactor model equations. For comparison purposes, P/PI controller design is also carried out by improved simultaneous relay autotuning method, synthesis method and minimizing ISE criterion method. It is found that the proposed method gives a better performance. Robust stability analysis using the complimentary sensitivity function is carried out. The present method is found to be more robust.
Department of Chemical Engineering, Indian Institute of Technology, Madras, India.
Simi
S
Santosh
Department of Chemical Engineering, Indian Institute of Technology, Madras, India. Electronic address: chidam@iitm.ac.in.
M
M
Chidambaram
Cascade control; FOPTD; P/PI controllers; PI controller; Unstable system