(e) A plant has following transfer function. 1 G(s) = (s'+2s +5s) use the Ziegler-Nichols tuning rules (second method) to design a PID controller, and clearly state the gain values. [The Ziegler-Nichols tuning rules (second method) recommends the following settings: K, = 0.6K , T, = 0.5T and T =0.125T, where Kp is the proportional gain, T; is the integral time constant (reset time), Ta is the derivative time constant (rate time), K is the critical gain %3D and T is the corresponding period of oscillation].

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Thermistors

A thermistor is a special type of resistor whose resistance is more temperature-dependent than standard resistors.  The resistance of the thermistor decreases with increasing temperature. This is the basic principle of thermistors. This allows the thermistor circuit to detect very small temperature changes that cannot be observed with the Resistance temperature detectors (RTDs) or the thermocouples. Since the resistance of a thermistor is temperature dependent, it can be connected to an electrical circuit to measure body temperature. This high sensitivity to temperature changes makes thermistors very useful for accurately controlling and calibrating temperature measurements. In general, resistance increases with increasing temperature in most metals, but thermistors react negatively.