Systems and Control Engineering

SCEV3006 Advanced Control with Implementation

Exercises with partial solution Proposals

Exercise 1

Solution 1

Exercise 2b (pdf fil: Exercise 2b)

Solution 2b (pdf fil: Solution 2b) Solution for the MATLAB part in the exercise: oppg12_o2b.m

Exercise 3 (pdf-file) obfunc.m main_obfunc2.m obfunc2.m obfunc3.m dread.m

Solution3 (pdf-file) losn_ov3_oppg1a.m losn_ov3_oppg1b.m

Exercise 4 (ps-file) Exercise 4 (pdf-file)

Solution 4 main_inv_pendel.m fx_inv_pendel.m

Exercise 5 (ps-file) Exercise 5 (pdf-file) MATLAB m-files for solving the ARE: are_schur.m blkrsch2.m cschur2.m MATLAB m-file for Task 1: exercise5_task1.m

Exercise 6 (ps-file) Exercise 6 (pdf-file)

Solution 6 m-file used in Task 3: ov6_oppg3.m m-file used in Task 2: ov6_oppg2.m

Exercise 7 Discrete systems. Week 40 and 41. You may also work with exercises in Ch 9

Solution 7 ov7oppg3.m

Exercise8 Week 45. Solution to Task 3: dlq_ex3_du.m . m-files for Example 5.2 in lecture notes: main_dlq_rdu.m and main_dlq_rdu2.m . Calling m-files: dric_solv.m

Exercise 9 Wednesday November 21th. Work with the examples in the paper "Discrete LQ optimal control with integral action". M-files for the examples: dlq_ex4_du.m (for ex. 5.1) dlq_ex3_du.m (for Ex. 5.2) main_kolreg_lq.rar (m-files for Ex. 5.3)

Exercise 9b Work through the Doyle LQG example 12.2 in lecture notes and paper example

Exercise9c (In norwegian: skip)

Solution 9c

Exercise 10 Note: There is an appendix to exercise 10. (In norwegian: skip)

d-col Toolbox. MATLAB m-files to exercise 10. Create a map with name, d-col. Upload the file: d-col.zip and extract the contents to the created map. This is a MATLAB Toolbox,

and you can type, >>help d-col, in the MATLAB commoand window to display the contents.