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Chapter 21

Modeling in Time and Frequency Domain

Transfer Function in Control Systems
Transfer Function in Control Systems
The transfer function is a mathematical representation that describes the system's output for each possible input in the frequency domain. Consider a ...
Electrical Systems
Electrical Systems
Electrical networks are first represented by equivalent circuits consisting of three passive linear components: resistors, capacitors, and inductors. ...
Mechanical Systems
Mechanical Systems
In mechanical systems, springs, and masses are akin to the roles of inductors and capacitors in electrical networks, with the energy-dissipating function ...
Electro-mechanical Systems
Electro-mechanical Systems
Electromechanical systems represent a unique blend of electrical and mechanical components that integrate seamlessly. A DC motor is a unit that transforms ...
Linear Approximation in Frequency Domain
Linear Approximation in Frequency Domain
Linear systems exhibit superposition, summing responses to individual inputs, and homogeneity, scaling responses consistently to an input multiplied by a ...
State Space Representation
State Space Representation
The frequency-domain technique, which is commonly used for analyzing and designing feedback control systems, is only suitable for linear, time-invariant ...
Transfer Function to State Space
Transfer Function to State Space
State-space representation is used for simulating physical systems on digital computers. For this, the transfer function must first be converted into ...
State Space to Transfer Function
State Space to Transfer Function
State-space representation can also be converted into a transfer function in system analysis. The transformation begins with the given state and output ...
Linear Approximation in Time Domain
Linear Approximation in Time Domain
Nonlinear systems find a superior modeling in state-space representation. Consider a simple pendulum represented in state-space with the center of mass at ...
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