Consciousness Videos

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



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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 how to think about state variables and why this representation is so powerful.

Having a solid foundational knowledge of state space and state variables will help you learn the control techniques built on state space models like Kalman filtering, LQR control, robust control, and model predictive control.

– State-Space Models, Part 1: Creation and Analysis: http://bit.ly/2H0TOqj
– State-Space Models, Part 2: Control Design: http://bit.ly/2H1Ymgc
– Dr. Rick Hill’s explanation of choosing states based on energy: http://bit.ly/2GZyUrD

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45 thoughts on “State Space, Part 1: Introduction to State-Space Equations
  1. Brian, you are bad to the bone… All your videos show different views and insights. Any chance you could make a video on MIMO systems no one can cover this correctly special in state-space form. Let's say we have Pressure and Temperature coming in one output representing this equation then one wants to see the Pressure and Temperature as single units on the output as well. 2 in x 3 out.

  2. Hi, how to identify the state variables in the state space models' equations ; means to know that which state of the system is being represented by the variables?

  3. Hi ! I was wondering how to formulate the state space matrices from differential equations when there is a white noise associated with one of the parameters. For eg:d x1/dt = V*x1+2* u where V= 8+ white noise with variance .2 and u is input

  4. If you differentiate the position value, you get velocity.

    Then we can express it in a first-order way, not in a second-order way?

  5. I studied Control Systems 5 years ago at University. The teacher was awful and the lectures were boring as hell. I still dont know how I managed to pass… Anyway, I found this video incredibly well explained: easy, clear and concise! I think that I have learnt more about the basics of Control System in these 14 minutes than I did in 3 months of lectures at University. Big thanks!!

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