State Space Method.

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Presentation transcript:

State Space Method

Transfer Function

An Example Linear differential equation The Laplace transform is:

An Example Differential equation:

General Equation

State Variable Equations

State Variable Equations

High order D.Eq. => T.F. => State Variable Eqs.

Example

Solutions of state equations

Solutions of state equations: Scalar Variable no Input:

Solutions of state equations: Vector Variable no Input:

Solutions of state equations: Scalar Variable with Input:

Solutions of state equations: Vector Variable with Input Signal:

Transfer Function and State Space

Example

Example

Example

Example

Example

Example

Review