The use of feedback control to vary the pitch angle in the

Chapter 12, Problem 38

(choose chapter or problem)

a. Design an observer for the neutralization system using the continuous stirred tank reactor of Problem 35 . The observer should have time constants 10 times smaller than those of the original system. Assume that the original state variables are those obtained in the phase-variable representation.

b. Simulate your system and observer for a unit step input using Simulink. Assume that the

initial conditions for the original system are \(\mathbf{x}(0)=\left[\begin{array}{r}-1 \\ -10 \\ 3\end{array}\right]\). The observer should have initial conditions \(\hat{\mathbf{x}}(0)=\left[\begin{array}{l}0 \\ 0 \\ 0\end{array}\right]\).