Download presentation
Presentation is loading. Please wait.
1
1 Lesson 2 Classification of the System response Linear system
2
2 System response: Output signals due to inputs and ICs. 1. The point of view of Mathematic: 2. The point of view of Engineer: 3. The point of view of control engineer: Homogenous solutionParticular solution ＋ ＋ ＋ Zero-state responseZero-input responseNatural responseForced response Transient responseSteady state response Linear system
3
3 Example: solve the following O.D.E (1) Particular solution: Linear system
4
4 (2) Homogenous solution: has to satisfy I.C. Linear system
5
5 (3) zero-input response: consider the original differential equation with no input. zero-input response Linear system
6
6 (4) zero-state response: consider the original differential equation but set all I.C.=0. zero-state response Linear system
7
7 (5) Laplace Method: Linear system
8
8 Complex response Zero state responseZero input response Forced response (Particular solution) Natural response (Homogeneous solution) Steady state responseTransient response Linear system
Similar presentations
![Complex exponentials as input to LTI systems h(t) h[n] H(e j ) e j n e j t e j n H(j ) e j t Cos as input… use Euler formula.](/4/1465768/big_thumb.jpg "Complex exponentials as input to LTI systems h(t) h[n] H(e j ) e j n e j t e j n H(j ) e j t Cos as input… use Euler formula.>")
