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(Solved): A continuous-time system is described by the differential equation, y^()(t)=-3\sqrt(y(t)-1)-2y(t)u ...
A continuous-time system is described by the differential equation,
y^(¨)(t)=-3\sqrt(y(t)-1)-2y(t)u(t)-2u(t)^(3)
Suppose that the operating point for the input signal is at u_(0)=1 and the output
signal at y_(0)=5.
Find the linearized model against the operating point of y_(0) and u_(0).
Find the Laplace transfer function between the input variable u(t)-u_(0) and the output
variable y(t)-y_(0). Determine the poles and zeros for this linearized system.