My nonlinear model in state space is
xdot= Ax + Bu+ Phi(x), where phi(x) is nonlinearity in the system
I am looking for papers/articles concentrated on indirect MRAC design. Any directions are appreciated.
Hi Anamika Gautam
The system is given by:
dx/dt = A·x + B·u + Φ(x).
Is the nonlinearity Φ(x) known or unknown?
If the nonlinearity Φ(x) is known, what happens when you use this control law?
u = – K·x – Φ(x)
See https://www.cds.caltech.edu/archive/help/uploads/wiki/files/140/IEEE_WorkShop_Slides_Lavretsky.pdf
Hi Anamika Gautam
x4 is not controllable, but stabilizable if p5 > 0.
x3 and x2 are controllable.
If x4 is stable, then x1 is controllable.
You can run a basic stability test for parameters p1 = p2 = p3 = p4 = p5 = Gb = 1, with the initial condition {x1(0) = 1, x2(0) = 0.5, x3(0) = –0.5, x4(0) = –1}, and u = 0.
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