# State Space Representation

In control engineering, a state-space representation is a mathematical model of a physical system as a set of input, output and state variables related by first-order differential equations or difference equations. State variables are variables whose values evolve over time in a way that depends on the values they have at any given time and on the externally imposed values of input variables. Output variables’ values depend on the values of the state variables.

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## State Space, Part 1: Introduction to State-Space Equations

14 min
Beginner
Video
Theory

Let’s introduce the state-space equations, the model representation of choice for modern control. This video is the first in a series on MIMO control and will provide some intuition around...

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## Quanser QUBE-Servo 2: Low-cost Teaching Platform for Controls

Beginner
Hardware
Application

The Quanser QUBE-Servo 2 is a fully integrated, modular servomotor lab experiment designed for teaching mechatronics and control concepts at the undergraduate level. Ideal for teaching speed...

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## State Space Representation of Differential Equations

69 min
Beginner
Video
Theory

In this video we show how to represent differential equations (either linear or non-linear) in state space form. This is useful as it allows us to combine an...

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## State Space to Transfer Function

48 min
Beginner
Video
Theory

In this video we show how to transform a linear state space representation of a dynamic system to an equivalent transfer function representation. We will de...

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## State Space in Process Control

10 min
Beginner
Video
Theory

An overview on how we can derive a state space model from a given set of state variables and inputs, as well as an intro to deviation variables. This is part...

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