PID Controllers, 2nd Edition

Chapter 7.2.7 - Control Paradigms: Observers

Observers

Since cascade control can use many measured signals it is natural to ask when it is no longer worthwhile to include an extra signal. An answer to this question has been provided by control theory. The explanation is based on the notion of state of a system. The state of a system is the smallest number of variables, that together with future control signals, describes the future development of a system completely. The number of sate variables is, thus, a natural measure of the number of measured signals that are worthwhile to include. if all


07_2-5.jpg

Figure 7.5 Schematic diagram of a heat exchanger with cascade control.

state variables are measured, it is also sufficient to use proportional feedback from these signals. This is called a state feedback and can be viewd as a natural extension of cascade control..

Use of observers is another helful idea from control theory. An observer is based on a mathematical model of a process. It is driven by the control signals to the process and the measured variables. Its output is an estimate of the state of the system. An observer offers the possibility of combining mathematical models with measurements to obtain signals that can not be measured directly. A combination of an observer with a state feedback from the estimated states is a very powerful control strategy.

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