Abstract
In this paper, a new type of controller based on the combined integrating systems is proposed, which is called a combined integrating controller. The controller’s current output is determined only by the current input and the average value of the controller’s previous output. The innovation is to introduce a time-delay positive feedback in the controller. The memory characteristics of the time-delay term keep accumulating error information and repeatedly learning so that the system can stably track and restrain any input signal without error. Simultaneously, the combined integrating controller is applied to conventional process systems based on dynamic optimization estimation in the case study to show absolute superiority over the nonpredictive control method (such as the classical PID control method).
Highlights
Introduction e ProportionalIntegral-Derivative (PID) control algorithms and their variants are widely used in the process industry because they can meet most control requirements for various processes
By choosing the appropriate desired closed-loop response (see equation (8)) and using either a Padeapproximation or a power-series approximation for the time-delay, PI/PID controllers can be derived for process models commonly used in industrial applications [24, 25]: G0(s)
From equation (15) and Table 1, it can be seen that combined integrating controller structure contains a combined integrating term (1 − e− θ1s)/θ1s and a time-delay term. e time-delay always is regarded as an unfavorable factor
Summary
Definition 1. e system transfer function consists of a combined integral term, integrating plus time-delay process, and a general process system transfer function. E system transfer function consists of a combined integral term, integrating plus time-delay process, and a general process system transfer function It can be expressed as the following general equation:. By choosing the appropriate desired closed-loop response (see equation (8)) and using either a Padeapproximation or a power-series approximation for the time-delay, PI/PID controllers can be derived for process models commonly used in industrial applications [24, 25]: G0(s). Considering the combined integrating term (1 − e− θ1s)/θ1s average filter nature, the time-delay e− θ1s in Figure 3 is replaced and the 2/k is reduced to 1/k, so we get the following improvement of the controller structure. According to the above derivation, the definition of the combined integrating controller is a class controller with the combined integrating term (1 − e− θs)/θs, the controller output by the current input and the average value of previous controller output.
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