Nonlinear State-Space Modeling for UAV Dynamics

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Discussion Overview

The discussion revolves around nonlinear state-space modeling for UAV dynamics, specifically focusing on quadrotor UAVs. Participants are seeking resources and sharing insights related to modeling techniques, control algorithms, and the challenges associated with nonlinear dynamics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant is looking for online resources for nonlinear state-space modeling of UAV dynamics.
  • Another participant questions whether the original poster intends to linearize the dynamics model.
  • The original poster clarifies the need to place the UAV dynamics into nonlinear state-space form for a new control algorithm, mentioning specific inputs and outputs for a MIMO model.
  • A participant shares their experience developing a Matlab simulation of a quadrotor, noting the complexities introduced by aerodynamic effects and variations in rotor thrust.
  • There is a suggestion to implement a wind estimation/rejection algorithm from a referenced paper to address issues with climb rate fluctuations.
  • The original poster acknowledges the suggestion and mentions ongoing instability issues in their simulation despite applying feedback control.

Areas of Agreement / Disagreement

Participants express various perspectives on the challenges of modeling UAV dynamics, with no consensus reached on the best approach or solutions to the issues raised.

Contextual Notes

Participants reference specific modeling requirements, control algorithms, and simulation challenges, but there are unresolved aspects regarding the implementation and effectiveness of proposed solutions.

Who May Find This Useful

Individuals interested in UAV dynamics, nonlinear modeling techniques, control systems, and simulation methodologies may find this discussion relevant.

Spitsplat
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Anyone have any good online sources for nonlinear state-space modeling?

I need to place nonlinear UAV dynamics into state-space form for modelling and seriously running out of good reference material for information.
 
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Are you trying to linearize the dynamics model?
 
I have to try and place it into non linear State-Space form first if that is possible. We have a new control Algorithm so we are taken on a Quad-rotor UAV as a case study.
I have uploaded the dynamics equations to flickr... If you could cast an eye over it and give your opinion it would be great:

http://www.flickr.com/photos/spitsplat/

For the control Algorithm to work we require 6 inputs and 6 outputs from a MIMO State-Space model of the UAV Dynamics. For 6 inputs, and for an academic exercise, we have decided to make the rotors pitchable (opposed rotors coupled).
So the inputs become (S1-S3), (S2-S4),(S1+S3), (S2+S4), Alpha and Beta.
Any help would be great... Hopefully we’ll get the thing of the ground and I’ll post the video’s on youtube.
 
I recently developed a Matlab simulation of a quadrotor with aerodynamic effects for a flight mechanics class. Quadrotor dynamics have been extensively studied by a bunch of different research groups, most notably the STARMAC group at Stanford. The linearized equations of motion without aerodynamic effects can easily be found in the literature.

The problem with quadrotor UAV's is that the rotor thrust varies with forward airspeed and angle of attack. This leads to erratic fluctuations in the climb rate of the vehicle. You might should try implementing the wind estimation/rejection algorithm discussed in the following paper:

http://pdf.aiaa.org/preview/CDReadyMIA09_2070/PV2009_1983.pdf
 
Last edited by a moderator:
Hey Thanks,

Worth adding into the model so will have a look over it.

We just placed the model under feedback control using our Algo. still suffering from some instability later down the runtime of the simulation but we''ll hopefully sort it soon.
 

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