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MESB374 System Modeling and Analysis System Stability and Steady State Response

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MESB374 System Modeling and Analysis System Stability and Steady State Response

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    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

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