8.1 Continuous feedback control systems and their performance

Consider a SISO electromechanical linear dynamic system, described by transfer function \(G_P(s)\), conventionally called the plantControl systems!plants of. For example, the plant might be a DC motor and mechanical load. Our goal is to continuously control its output motion by manipulating its electrical input. Applying the concept of feedback, Figure 8.1 shows a block diagram of the control strategy.

Figure 8.1: Block diagram of a feedback control system.

Sensor \(H_S\) converts physical motion \(Y\) into an analog or digital signal appropriate to be an input to a control deviceControl systems!control devices for through one of its interfaces. An estimate of \(Y\) is made by multiplying the detected sensor output by the inverse of the sensor DC gainSensors!DC gain of \(H_{S0} = H_S(0)\) (the sensor sensitivity). The control device subtracts the …