AENG-556: MODERN CONTROLS HOMEWORK #3

Date Assigned: Tuesday, Feb. 24Date Due: Tuesday, Mar. 10

1. Problem 7.39 in Brogan

2. Problem 7.50 in Brogan

3. Problem 8.26 in Brogan

4. Problem 8.28 in Brogan

5. Problem 8.39 in Brogan

6. Derive state space model for the following:(a.) For the 3-input, 1-output controller K(s): (AK, BK, CK, DK)

For the 1-input, 2-output plant G(s): (AG, BG, CG, DG)

use the following missile dynamics:

(b.) Using the state space models in (a.), connect the controller and plant model together to form a closed loop state space model. The solution should only contain matrices.

7. Consider the nonlinear dynamics for the ball-and-beam system presented in class (also your project).

Compute the set of eigenvalues for the system using MATLAB. Compute the set of associated right eigenvectors and left

eigenvectors for each eigenvalue using MATLAB.

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