Abstract
This paper deals with a case when multiple inputs are needed to cover the steady-state operating range. The most common implementation is to use split range control with a single controller. However, this approach has some limitations. In this paper, we use multiple controllers with different setpoints and demonstrate that this structure can be optimal in some cases when the cost of the input can be traded off against the penalty of deviating from the desired setpoint. We describe a procedure to find the optimal setpoint deviations. We illustrate our procedure in a case in which three inputs (cooling and two sources of heating) are used to control the temperature of a room with a PID-based control structure and without the need of online optimization.
Highlights
The use of more than one input for one output to extend the steady-state range of the output has been a common practice for more than 75 years (e.g., References [1,2,3])
We study in detail one controller for each input (Figure 4) and we compare this structure with split range control (Figure 1)
We proposed a procedure to find optimal setpoints when there is more than one available input for one output
Summary
The use of more than one input for one output to extend the steady-state range of the output has been a common practice for more than 75 years (e.g., References [1,2,3]). An alternative to extend the steady-state range of the output is to use one controller for each input with independent tunings and different setpoints. This structure is often regarded as “sub-optimal”. For room temperature control we may use different setpoints in the winter than in the summer to save on heating and cooling, respectively.
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