Mechatronics
What do you mean by hydraulic inertance? Show that hydraulic inertance varies proportionally with length of hydraulic block.
Obtain a state-space representation of the system shown in Fig.3(a), where is the input and and are the outputs. Assume that the rollers are frictionless.

Why linearization is necessary? Linearize the nonlinear system in the region , . Find out the Linearization error at (4, 12).
A closed-loop control system has the characteristics equation . Using Routh's stability criterion, determine whether the system is stable or unstable. If unstable how many unstable roots are there?
What types of signals are used as test signal? Find out unit-step response of a first order system.
Draw a typical unit-step response of a order system and mention the related terminology.
Consider the negative feedback system having the gain , . Determine the root loci on the real axis.
Describe and compare the characteristics of (i) proportional control, (ii) Proportional plus integral control, (iii) proportional plus integral plus derivative control.
Consider the control system shown in Fig. 5(b) in which PID controller is used to control the system. The PID controller has the transfer function . Design the PID controller.

Draw the ladder diagrams for the following logic functions: AND, NAND, OR, NOR.
Briefly describe the architecture of a PLC.
Briefly explain (i) Latch circuit, (ii) Delay-on Timers and (iii) Counters.
Define the following term of a measurement system: (i) Accuracy, (ii) Hysteresis error, (iii) Sensitivity.
Write notes on the following sensors: (i) Tactile sensor, (ii) Pneumatic sensor, (iii) Capacitive sensor.
What will be the change in resistance of electrical resistance strain gauge with a gauge factor of 0.001?
Define directional control valve. Explain the working principle of spool valve.
Explain the working principle of a variable reluctance stepper motor.
Draw the schematic diagram of hydraulic power supply and pneumatic power supply system with proper labeling.