Systems System Properties DE Model
Definition Maths Models Analysis & Design Block Diag
Definition of Systems
A system is an entity or process that manipulates one or more signals to accomplish a particular task, thereby yielding new signals. For example,
EE2010 Systems and Control (Chapter 9)
Assessment of Stability - Revisit
How do we assess stability of the following feedback system? Y(s) R(s) + E(s) K(s) G(s) Closed loop stability can be obtained by calculating the poles of the CL system. The calculat
EE2010 Systems and Control (Chapter 8)
Control Performance
Performance refers to how well the system responds to inputs. It is usually given in terms of time domain specifications, such as rise time, settling time, steady-state error, etc. Open Loop Perf
EE2010 Systems and Control (Chapter 7)
Open Loop and Closed Loop Control
Open Loop Control
An open-loop control system utilizes an actuating device to control the process directly without using feedback/device
Desired output response Output Actuator
Proc
EE2010 Systems and Control (Chapter 6)
j j Quadratic factor, 1 2 ( ) ( ) 2
n n
1
Magnitude of a second-order system is
1 1 j j 2 2 2 1 2 ( n ) ( n ) (1 2 ) (2
n
n
)
2
20 log10 (1 2 ) 2 (2
2 n
2 n
)
Phase of a second order system is
2 ( n ) 1 tan 1
EE2010 Systems and Control (Chapter 5)
Transient Response Specifications
Consider the position control problem below
Relate system parameters of underdamped 2nd order system ( and n) with language humans use to describe task/objective.
5-1
EE2010 Systems
EE2010 Systems and Control (Chapter 4)
Impulse Response
The impulse response of a LTI system is the system's output signal when the input signal, u(t), is the unit impulse function, (t), with zero initial conditions Suppose the transfer function represen
EE2010 Systems and Control (Chapter 3)
Transfer Function of LTI Systems
System transfer function is the ratio of the Laplace transform of the output signal, y(t), over the Laplace transform of the input driving function, u(t), under the assumption that a
EE2010 Systems and Control (Chapter 2)
Basic System Properties
Static and Dynamic System
System is static (also called memoryless) if output is a function of the input at the present time only, i.e., y(t) = K u(t) Example is a resistor, V(t) = i(t) R. O
EE2010 Systems and Control (Chapter 1)
EE2010 Systems and Control AY 10/11
LOH Ai Poh, TAN Kay Chen, TAN Woei Wan , Arthur TAY
Department of Electrical and Computer Engineering National University of Singapore
1-1
EE2010 Systems and Control
IVLE course we
Sine i/p Freq Response Factors Summary Polar
Intuition LT Analysis
Response due to sinusoidal input
What is the output signal of a stable system when the input signal is a sinusoidal function ?
U0 sin( t)
G(s)
?
Intutively, the steady-state output will al
Impulse Response Step Response Transient Spec Zero
Def Convolution Example
Impulse Response : Definition
The impulse response of a LTI system is the system's output signal when the input signal, u(t), is the unit impulse function, (t), with zero initial c
Laplace Transform
Motivation Definition Rules Inverse LT Example
What is Laplace Transform ?
Mathematical tool used for solving linear ordinary differential equation.
Difficult Problem Solution of Difficult Problem
Laplace Transform Solve easy problem
Inv
EE2010 Systems and Control (Chapter 10)
Robust Stability: Gain and Phase Margins
R(s) + K(s) G(s) Y(s)
We have seen how stability of the closed loop system can be assessed using the root locus approach or by applying the Nyquist stability criterion We ha