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State-Space Methods - Coggle Diagram
State-Space Methods
Observations
State variables and state equations
Simultaneous first-order differential equations
Output equations from state variables and inputs
Definition of state-space representation
Example: RL network with initial current
Chapter Learning Outcomes
Mathematical model (state-space representation)
Modeling electrical and mechanical systems
Conversion between transfer function and state-space
Linearization of state-space representation
Introduction to State-Space
Classical vs. state-space methods
Classical: Frequency-domain approach
State-space: Time-domain approach
Advantages of state-space:
Models nonlinear systems
Handles nonzero initial conditions
Suitable for multiple-input, multiple-output systems
Disadvantages of state-space:
Less intuitive than classical methods
Key Equations
Differential equation for RL network
Laplace transform application
State equation derivation
Case Study Learning Outcomes
State-space representation of antenna azimuth position control system
State-space representation for drug flow in the human body and aquifer modeling