Abstract

Integrating systems are frequently encountered in power plants, paper-production plants, storage tanks, distillation columns, chemical reactors, and the oil industry. Due to the open-loop instability that leads to an unbounded output from a bounded input, the efficient control of integrating systems remains a challenging task. Many researchers have addressed the control of integrating processes: Some solutions are based on a single closed-loop controller, while others employ more complex control structures. However, it is difficult to find one solution requiring only a simple tuning procedure for the process. This is the advantage of the magnitude optimum multiple integration (MOMI) tuning method. In this paper, we propose an extension of the MOMI tuning method for integrating processes, controlled with a two-degrees-of-freedom (2-DOF) proportional–integral–derivative (PID) controller. This extension allows for calculations of the controller parameters from either time domain measurements or from a process transfer function of an arbitrary order with a time-delay, when both approaches are exactly equivalent. The user has the option to emphasise disturbance-rejection or tracking with the reference weighting factor b or apply two different reference filters for the best overall response. The proposed extension was also compared to other tuning methods for the control of integrating processes and tested on a charge-amplifier drift-compensation system. All closed-loop responses were relatively fast and stable, all in accordance with the magnitude optimum criteria.

Highlights

  • This paper is an extension of a previous study [1] that proposed tuning of the proportional–integral (PI) controller for integrating processes

  • As with the magnitude optimum multiple integration (MOMI) tuning method, the reference filter parameters can be calculated from the measured characteristic areas, which can be acquired from the process steady-state time response

  • This paper presented an adaptation of the MOMI tuning method for the PID controller for the integrating processes

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Summary

Introduction

This paper is an extension of a previous study [1] that proposed tuning of the proportional–integral (PI) controller for integrating processes. In References [20,57], a PID controller and three-state structure for achieving a time-optimal tracking response was proposed Since this method uses an identification technique (least-squares-based) for the calculation of the process model during steady-state changes, it is not necessary to know the process model in advance. PI/PID controller tuning rules and a method for the identification of IPs with a time-delay and inverse response from an open-loop step response were proposed in Reference [100]. A PI/PID controller tuning method that enables specification of the desired closed-loop transfer function for disturbance-rejection, while tracking, using PID controllers, can be independently improved with set-point weighting, was proposed in Reference [115]. To achieve the best overall closed-loop responses (the optimal tracking and disturbance-rejection), two reference filter structures are proposed.

Closed-Loop Configuration and Magnitude Optimum Multiple Integration
Extension to Integrating Processes
Illustrative Example
Optimal Tracking and Disturbance-Rejection
The Second-Order Filter
The Higher-Order Filter
MOMI PIDb Controller
Comparison with the MOMI Tuning Method for PI Controllers
MOMI PID with Reference Filters
Stability and Robustness
Comparisons with Other Methods
Real-Time Experiment
Findings
Conclusions
Full Text
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