Question

Consider a queuing system modeled by dx/dt = λ - μmax(x/(x+1)). The model is nonlinear and the dynamics of the system change significantly with the queuing length; see Example 3.12. Investigate the situation when a PI controller is used for admission control. The arrival intensity λ is then given by λ = kp(r - x) + ki ∫(r(t) - x(t))dt. The controller parameters are determined from the approximate model dx/dt = λ. Find controller parameters that give the closed loop characteristic polynomial s^2 + 2s + 1 for the approximate model. Investigate the behavior of the control strategy for the nonlinear model by simulation for the input r = 5 + 4sin(0.1t). (Åström, and Richard M. Murray. Feedback Systems: An Introduction for Scientists and Engineers. Ex: 2.10)

          Consider a queuing system modeled by dx/dt = λ - μmax(x/(x+1)).
The model is nonlinear and the dynamics of the system change significantly with the queuing length; see Example 3.12.
Investigate the situation when a PI controller is used for admission control. The arrival intensity λ is then given by λ = kp(r - x) + ki ∫(r(t) - x(t))dt. The controller parameters are determined from the approximate model dx/dt = λ.
Find controller parameters that give the closed loop characteristic polynomial s^2 + 2s + 1 for the approximate model.
Investigate the behavior of the control strategy for the nonlinear model by simulation for the input r = 5 + 4sin(0.1t).
(Åström, and Richard M. Murray. Feedback Systems: An Introduction for Scientists and Engineers. Ex: 2.10)

Added by Elizabeth W.

Question

Please give Ace some feedback