# 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 variablesâ€™ 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

Letâ€™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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