Exercises

In this course, there are ten ordinary exercise sessions in which we will discuss typical problems related to the topics covered in the course. To get the most out of the exercise sessions; you should also try to solve the problems on your own.

Discussion groups:

We will also open up a Discussion group in Canvas for the topics of each exercise session, and questions and discussions may also be posted there. 

Exercise compendium

Recommended exercises are given in the table below.

Session number Topic Exercise Session, time and place Exercises At home Video links Discussion Notes
Ex 1 Signal and System Norms, Small Gain Theorem Tue 240319 15-17, B1

2.1, 2.2, 4.2, 6.1, 6.2

 4.1, 5.1ab, 6.3 Signal and System Norms, Small Gain Theorem Exercises topics Exercise 1.pdf Download Exercise 1.pdf
Ex 2 Internal Stability (SISO), Robustness (SISO) Fri 240322 13-15, B1 1.1, 4.3, 7.1, 8.1, 8.6 8.7

Internal Stability (SISO)

Robustness (SISO)

 Exercises topics
Ex 3 Limitations (SISO), Sensitivity Shaping Thu 240328 08-10, B3 8.2, 8.3, 8.5 8.4 Limitations (SISO), Sensitivity Shaping  Exercises topics
Ex 4 Input-Output Controllability (SISO), MIMO poles/zeros Tue 240409 13-15, V1 8.8, 5.2, 5.3, 9.4, 9.5 9.1 Input-Output Controllability (SISO), MIMO poles/zeros Exercises topics Exercise 4.pdf Download Exercise 4.pdf
Ex 5 RGA and Decentralized/Decoupled Control, Robustness (MIMO) Tue 240416 13-15, V1 10.1(iv), 10.3, 10.4, 10.6 10.1(v), 10.2 RGA and Decentralized Control, Decentralized/Decoupled Control, Robustness (MIMO). Exercises topics Exercise 5.pdf Download Exercise 5.pdf
Ex 6 Limitations (MIMO), Internal Stability (MIMO), H_inf Control Thu 240418 10-12, B3 9.6, 9.7, 11.1 10.5 Limitations (MIMO), Internal Stability (MIMO)., H_inf control Exercises topics

Exercise 6-1.pptx Download Exercise 6-1.pptx 
Ex 7 H_inf Control Thu 240425 08-10, B1 11.2, 11.3, 11.4, 11.8(c) 11.8(a+b) H_inf Control 

Exercises topics

Exercise 7-1.pptx Download Exercise 7-1.pptx 

 
Ex 8 LQG Control Tue 240430 13-15, V2 12.2, 12.3, 12.4 LQ, LQG

Exercises topics

Exercise 8-2.pptx Download Exercise 8-2.pptx 

Exercise 8.pdf Download Exercise 8.pdf
Ex 9 H_inf and H_2 Control Mon 240506 08-10, V1 11.5, 11.6, 11.7, 11.9 H_inf., H2 control  Exercises topics
Ex 10 Discrete-time Systems, MPC Mon 240513 08-10, B2 13.1, 13.2, 13.3 Discrete-time Systems, MPC

Exercises topics

Exercise 10.pptx Download Exercise 10.pptx 

Exercise 10.pdf Download Exercise 10.pdf
Ex 11 Repetition Thu 240516 10-12, B3 An old exam Part 1, Part 2 Exercises topics Exercise 11.pdf Download Exercise 11.pdf