Register to reply

Non-Linear Control System and Motor synchronization

Share this thread:
Feb6-08, 11:13 AM
P: 2
I am currently trying to design a system that will sychronize two propellor motors, and I must design using the following equation:
w'*I + (w^2*r^2*p*S*C_d)/(2) = T_t + T_ss
w' = Angular acceleration
I = moment of inertia
w = angular velocity
r = radius of blade
p = air density
S =Surface Area
C_d = Drag coeeficient
T_t = transient torque
T_ss = Steady state torque

The problem is this is a non-linear system, and I do not know how to 'linearize' the system to use general linear control system theory. Any help would be greatly appreciated. Thanks.
Phys.Org News Partner Science news on
'Smart material' chin strap harvests energy from chewing
King Richard III died painfully on battlefield
Capturing ancient Maya sites from both a rat's and a 'bat's eye view'
Feb6-08, 11:19 AM
P: 202
this is just a shot in the dark, but can you break the problem up into 2 linear models? Will that help at all?
Feb6-08, 11:24 AM
P: 2
what do you mean by two linear models?

Feb6-08, 07:31 PM
P: 202
Non-Linear Control System and Motor synchronization

sorry, probably worded that wrong.

Is there anyway to break the problem up into pieces? Other than that, I don't have much to offer, sorry.
Feb7-08, 05:28 PM
P: 341
For linearization, follow the procedure in

and evaluate at the operating point that you want. It will clear out the nonlinear terms in the Jacobian and give you a linear system at that point in the form of [tex]\dot{x} = Ax + Bu[/tex]

Register to reply

Related Discussions
AC Motor speed control Electrical Engineering 8
Brushless DC motor control Electrical Engineering 5
555 Timer to control motor? Electrical Engineering 2
Dc motor speed control Electrical Engineering 4