title: Simple method of designing centralized PI controllers for multivariable systems based on SSGM.
abstract: A method is given to design multivariable PI/PID controllers for stable and unstable multivariable systems. The method needs only the steady state gain matrix (SSGM). The method is based on the static decoupler design followed by SISO PI/PID controllers design and combining the resulted decoupler and the diagonal PI(D) controllers as the centralized controllers. The result of the present method is shown to be equivalent to the empirical method proposed by Davison EJ. Multivariable tuning regulators: the feed-forward and robust control of general servo-mechanism problem. IEEE Trans Autom Control 1976;21:35-41. Three simulation examples are given. The performance of the controllers is compared with that of the reported centralized controller based on the multivariable transfer function matrix.
authors.affiliation: Dept of Chemical Engineering, Indian Institute of Technology, Madras 600036, India.
authors.forename: V
authors.initials: V
authors.lastname: Dhanya Ram
authors.affiliation: Dept of Chemical Engineering, Indian Institute of Technology, Madras 600036, India. Electronic address: chidam@iitm.ac.in.
authors.forename: M
authors.initials: M
authors.lastname: Chidambaram
keywords: Davison׳s method; Multivariable system; PI controllers; Simple tuning; Steady-state gain matrix