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NonLinear Control System and Motor synchronization 
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#1
Feb608, 11:13 AM

P: 2

Hello,
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 nonlinear 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. 


#2
Feb608, 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?



#3
Feb608, 11:24 AM

P: 2

what do you mean by two linear models?



#4
Feb608, 07:31 PM

P: 202

NonLinear 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. 


#5
Feb708, 05:28 PM

P: 341

For linearization, follow the procedure in http://en.wikipedia.org/wiki/Jacobian
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] 


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