Chapter 2

Question 1

Autonomous vs NonAutonomous

Answer 1

Autonomous - independent of time

Question 2

Linearisation?

Answer 2

Process of replacing nonlinear system model with its linear counterpart in a small region about its equilibrium point

Question 3

Reason for Linearisation?

Answer 3

Idealised representation for which we have excellent tools

Question 4

State Space

Answer 4

x_dot = Ax + Bu
y = Cx + Du

Question 5

Transfer Function

Answer 5

R(s) -> <function> -> C(s)</function>

Question 6

Transfer Function definition

Answer 6

The ratio of the Laplace Transform of the output signal
to the Laplace Transform of the input signal at zero initial conditions

Question 7

Mathematical model permits easy interconnection of physical system

Answer 7

Transfer function

Question 8

To what classification of systems can TF be applied?

Answer 8

TF be applied to linear
time invariant models
since it’s easy to take the LT when the system is linear time invariant model

Question 9

What trans turns solution of diff equ into algebrai manipulations?

Answer 9

Laplace

Question 10

Name for mechanical equations written in order to evaluate TF

Answer 10

Equations of motion

Question 11

Functions of Gears

Answer 11

In/Decrease RPM
In/Decrease Torque
Change rotation direction in mechanical systems

Question 12

Steps to linearise a nonlinear sys

Answer 12

1. Find nonlinear component
2. Write nonlinear diff equations
3. Find equilibrium solution
4. Linearise the nonlinear differential equations at equilibrium point
5. Take LT and find TF