{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

lecture3

lecture3 - MAE 171A Dynamic Systems Control Lecture 3...

This preview shows pages 1–5. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MAE 171A: Dynamic Systems Control Lecture 3: Dynamical System Properties poles, zeros and impulse response Goele Pipeleers Recall from Lecture 2 . . . Models of Dynamical Systems • general procedure: physical system : lumped masses, springs, dampers ⇓ Newton’s law mathematical model : ordinary differential equation ⇓ (linearization and) Laplace transform mathematical model : transfer function • system analysis: Laplace transform and transfer function 1 Linear Time-invariant Systems Transfer Function • general formula ( m ≤ n ) G ( s ) = b m s m + b m- 1 s m- 1 + ... + b 1 s + b s n + a n- 1 s n- 1 + ... + a 1 s + a = N ( s ) D ( s ) Impulse Response • inverse Laplace transform of transfer function: g ( t ) = L- 1 { G ( s ) } • homogenous response from particular initial conditions • to compute forced response: Y ( s ) = G ( s ) U ( s ) ! y ( t ) = g ( t ) * u ( t ) 2 Zeros • complex numbers z i for which N ( z i ) = 0 and hence, G ( z i ) = 0 • determine inputs that do not pass through the system:...
View Full Document

{[ snackBarMessage ]}

Page1 / 14

lecture3 - MAE 171A Dynamic Systems Control Lecture 3...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online