Control Engineering: State-Space & Quad Turbine UAVs

[Spitsplat]

I'm a having to place extremely coupled, nonlinear dynamics into state space form. I'm working on a quad turbine UAV. I myself have no experience with state-space or any form of control engineering for that matter.

Do anyone know of good online reference material i could possible use?

Also... And if someone out there knows anything about state-space... is it possible to have your inputs inside your input matrix... For instance.

I have 6 coupled equations... each having some terms resembling the term described below:
(A^2+B^2)sin(alpha)*constants... the problem i have is that I'm having to make (A+B) and apha a input (using the control algorithm I'm expected to use)... Now I can't work out how to place these terms into the input matrix form... any suggestions would be amazing?

 

[Valkarie]

Yes, it is possible to have your inputs inside your input matrix. The inputs can be represented as a vector in the matrix and then used in the equations. You can find lots of good online resources for state-space form. For example, the University of Michigan has a great tutorial on state-space form here: http://www.engin.umich.edu/group/ctm/old/ss_tutorial/index.html In terms of your specific question, you can place the terms (A^2+B^2)sin(alpha)*constants into the input matrix by defining A and B as the input variables and alpha as the state variable. Then, you can write the equation as (A^2+B^2)*sin(x(1))*constants, where x(1) is the vector of state variables.

 

[Mene]

I understand the challenges you are facing in trying to put highly coupled and nonlinear dynamics into state-space form for your quad turbine UAV project. State-space representation is a powerful tool for modeling and controlling complex systems, and it is essential for engineers in the field of control engineering.

Since you mentioned that you have no prior experience with state-space or control engineering, I would recommend starting with some basic resources to familiarize yourself with the concept. There are many online tutorials, courses, and textbooks available on state-space representation and control engineering that can provide you with a good foundation.

Some useful online resources I would recommend are:

1. The Control System Lectures by Prof. Brian Douglas – This is a series of free online video lectures that cover various topics in control engineering, including state-space representation.

2. State-Space Control Systems by Prof. K. J. Åström and Prof. B. Wittenmark – This is a comprehensive textbook that covers all aspects of state-space representation and control systems.

3. YouTube tutorials – There are many YouTube channels that offer tutorials on state-space representation and control engineering, such as Control Systems Lectures by Prof. T. K. Basu and Control System Lectures by Prof. R. Gnanasivam.

As for your specific question regarding placing inputs inside the input matrix, it is indeed possible. In state-space representation, inputs are typically represented as columns in the input matrix, and the terms in your equations can be included as constants in the input matrix as well. However, the exact placement of these terms would depend on the specific control algorithm you are using and the structure of your system.

I would suggest consulting with a control engineer or seeking assistance from online forums or communities dedicated to control engineering for more specific guidance on your input matrix formulation. Overall, I wish you the best of luck in your project and hope these resources will be helpful to you.