1 / 13

MESB374 System Modeling and Analysis System Stability and Steady State Response

willis
Télécharger la présentation

MESB374 System Modeling and Analysis System Stability and Steady State Response

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

    2. Stability Concept Describes the ability of a system to stay at its equilibrium position in the absence of any inputs. Stability

    3. Examples (stable and unstable 1st order systems) Q: free response of a 1st order system. Zero input response Zero initial condition response Combination of themZero input response Zero initial condition response Combination of them

    4. Stability Criterion for LTI Systems Stability of LTI Systems

    7. In Class Exercises (1) Obtain TF of the following system: (2) Plot the poles and zeros of the system on the complex plane. (3) Determine the systems stability.

    8. Example Inverted Pendulum (1) Derive a mathematical model for a pendulum. (2) Find the equilibrium positions. (3) Discuss the stability of the equilibrium positions.

    9. Example (Simple Pendulum)

    10. Transient and Steady State Response Ex:

    11. Transient and Steady State Response

    12. Transient and Steady State Response Ex:

    13. Steady State Response

    14. Steady State Response Given a general n-th order stable system

More Related