Optimal Design Method of Pi Controller for Multiple Processes and Coupled Liquid Level System

Abstract

A systematic method is proposed to design optimal proportionalintegral (PI) controller for different processes. An augmented integral squared error performance index is used to design optimal PI controller. The optimal control problem can be equivalently trans-

Design of optimal PI controller with dead-zone link for low-order processes with time delay

“…PI/PID controller is widely used in many various industrial processes, where PI/PID controllers need to overcome the effects of the dead-zone characteristic. PI/PID controller design methods in [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25] do not consider the deadzone link. However, this paper presents a design method of optimal PI controller with the dead-zone link for the low-order processes with time delay.…”

“…In [12][13], a design method of robust optimal PI/PID controller is proposed for different processes by optimization algorithm in frequency and time domain. In [14][15][16][17][18][19][20][21][22][23][24][25], nonlinear optimization method is used to design optimal PI/PID controller and its robust optimal controller. Design methods of PI/PID controller in [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25] do not consider dead-zone link or dead-zone characteristic, thus most of the control systems in [6][7][8][9][10][11][12][13][14][15][16][17][18][19]…”

“…Therefore, actual control systems can not be considered as purely linear system, and they should be seen as nonlinear system in some degree. Inspiring by references [18][19][20][21][22][23][24][25], a systematic design method of optimal PI controller with dead-zone link is presented for the feedback system which contains the low-order processes with time delay. Feedback system is equivalently transformed into the LSS or ASS.…”

A design method of robust optimal PI controller with saturation link for different processes

“…In [12-13, 15, 25], design methods of robust optimal PI/PID controller is proposed by solving linear or nonlinear optimization problems. In [14][15][16][17][18][19][20][21], nonlinear optimization methods are used to design optimal single-input and single-output (SISO) and multipleinput and multiple-output (MIMO) PI/PID controller, and robust optimal PI/PID controller as well. Most of the PI/PID controller and optimal design methods in do not consider the actual controller saturation characteristic, thus the feedback control system is the purely linear system.…”

“…Therefore, the control system could not be considered as purely linear system when saturation link can not be ignored. Inspired by reference [14][15][16][17][18], this paper presents a design method of robust optimal PI controller with saturation characteristic for the different process. Feedback control system is equivalently transformed into uncertain linear switch system (ULSS) or uncertain autonomous switch system (UASS).…”