2nd Exam - Results

The 2nd exam from 09.10.2009 is graded. Please note that the first question was taken out. It turned out that this problem was to much of a challenge. The results should be available on LSF shortly. Solutions are available for download below. If you have any questions, please contact me. Download: ExamHTWMoSimSS09-2solutions.pdf

2nd Exam Announcement

The 2nd MoSim exam will take place on 09.10.2009, 09:45-11:15. The venue will be Gr HS1 m. Fredrich. Please note that this is on the OSW campus! Conditions are the same as for the 1st exam: no computer, no books, bring a pocket calculator, and a pen. Personal notes, lecture notes and handouts are permitted. Success!

Final Exam - Results

I am pleased to announce that the final exam taken on July 24th has been graded. Most of you have done very well. I have even seen some outstanding work.

The histogram on the right shows the aggregated scores for each of the problems. For the first problem I have seen two main approaches. Everyone was able to solve this one at least in part. Almost the same holds for the second problem. The third problem seemed to be more difficult. Only a few where able to convince me entirely. But still most submissions demonstrate well-founded knowledge. Overall, I'm satisfied with the results. Thank you for studying hard.

The solutions are available for download. If you have any questions, please contact me. I will not schedule a general meeting to discuss the exam results, but I will respond to individual questions. Your grades will be available as soon as the university provides a grading key to me. This will probably be on Monday. Have a good vacation!

Download: ExamHTWMoSimSS09.pdf

Exam Preparation

The exam will take place in room MA NG 105 on Fr. July 24th from 10:00-12:00. The best way to prepare yourself is to go through the examples and problems we have been discussing in class. The questions in the exam will be similar. You can use all the course material, including lecture notes, handouts and your personal notes in the exam. Additionally, you will need a simple calculator, a pen and some paper for notes. Also, bring your student id to the exam. Computer or any other communication devises are not permitted.

The lecture notes are updated. You can download and print it if you would like to take the most recent version (21. Juli) to the exam. I wish you much success!

LectureNotes.pdf

Bioreactor Optimization and other LDS Exercises

We will have our last seminar tomorrow. This is the big rehearsal covering linear dynamic systems. We meet 8:00 at MA HG 105.

Download:

MoSim/OptimalBioreactorHandouts.pdf

Second Order System Response

This is the last minute handout posting for tomorrows seminar. We will talk about system response of second order systems. I put some effort into updating the lecture notes. Please have a look at it. See you in MA NG 105 tomorrow morning at 8:00.

Download:

MoSim/SecondOrderResponseHandouts.pdf

MoSim/LectureNotes.pdf

Response of First Order Systems

Tomorrow again, we will have a mix of seminar and exercise. The topic is system response for first order systems. We will work on a problem to calculate the travel time on a rocket slide. The lecture will be as usual in MA NG 105 8:00-11:15.

Download:

LectureNotes.pdf, FirstOrderResponseHandouts.pdf

Logarithmic Decrement and Exercises

Tomorrow we will have seminar from 8:00 - 11:15 in MA NG 105. We will cover the logarithmic decrement and do some exercises. Just bring your calculator, pen and paper. This will get you the power!

Download: LectureNotes.pdf, PredictorsPerfoamanceMeasuresHandouts.pdf

Lab Exercise on System Simulation

Tomorrow we will have a lab exercise on using Matlab/Octave for system simulation. The first group will meet 8:00-9:30, 9:45-11:15 in MA HG 105. The second group will meet 12:00-13:30, 13:45-15:15 in MA HG 105. The exercise sheet is available for download (ExerciseW25.pdf, ExerciseW25Solutions.pdf). You may need to refresh your browser or delete the cash in order to see the solutions.

Mathematical Models

We have tomorrow lecture from 8:00-1:30 in MA NG 105. Main topic will be models in frequency domain. This is the agenda:

• Laplace transformation
• root locus
• damping ratio, 
• system response
• transfer function  
• exercise

Download: 

MathematischeModelleHandouts.pdf

Aircraft Dynamics

Tomorrow we will have our lab MoSim (Ü) officially for Group 1 from 8:00-11:15 and for Group 2 from 11:45-15:00. However, you can all join the first group because class will be in MA NG 105. We will analyse the aircraft dynamics of a Boing 474. It's got to be fun!

• aircraft orientation
• longitudinal aircraft dynamics
• phugoid mode
• short period mode
• impulse responses

Download: AircraftDynamicsHandouts.pdf LectureNotes.pdf

Linear Dynamical Systems

In tomorrows lecture we will cover the full mathematical model for linear dynamical systems. We will extend the ideas from the lecture on linear systems and autonomous linear dynamical systems to describe the full model. Be ready for the real thing! The handouts are available for download.

• Linear dynamical Systems with Input and Output
• Block diagram
• Transfer matrix
• Impulse matrix
• Step matrix
• Examples
• Static gain matrix
• Discrete-time systems

Download:

MoSim/LineareDynamischeSystemeHandouts.pdf

Friday class suspended

The classes MoSim(Ü) and MoSim(SU) for Friday May 22nd are canceled. They will be held on even weeks from 12:30-13:00. We will have MoSim(SU) on Friday 29th from 8:00-13:00 in MA NG 105. Have a good weekend!

Autonomous Linear Dynamical Systems

For those who wish to print the handouts for tomorrows lecture, please feel free to use the link below. Main topics on the agenda are:

• first order autonomous linear dynamical systems
• phase plane
• block diagram
• finite-state discrete-time Markov chain
• higher order linear dynamical systems
• linearization near equilibrium point

Download:

• AutonomeLineareDynamischeSystemeHandout.pdf
• LectureNotes.pdf

MoSim (Ü) and MoSim (SU) Week 19 canceled

MoSim (Ü) and MoSim (SU) for tomorrow are canceled. An alternative date for MoSim (SU) is offered at May 15th 12:00-13:30. Deadline for submitting homework is extended to May 13th.

MatLab/Octave Tutorial - MoSim (Ü) Week 17

Todays exercise was about MatLab / Octave introduction. We covered a few topics from the tutorial you can find in the reading list, including:

• Creating Matrices
• The Size of a Matrix
• Transposing a Matrix
• Sums and Means
• Concatenating Matrices
• Basic Indexing
• Logical Indexing
• Assignment
• Linear Indexing
• Reshaping and Replication
• Element-Wise Matrix Arithmetic
• Matrix Multiplication and Exponentiation
• Matrix Division

The logfile can be downloaded below. Please continue the tutorial to get used to the matrix numerics. Downloads:

• LogWeek17ExerciseGroup1
• LogWeek17ExerciseGroup2

Homework Problems - MoSim (SU) Week 17

Please submit until May 6th by email. Use your HTW email account, otherwise it may end up in my spam mail. I prefer pdf files or plain text, not MS Office format. Download: HomeworkProblemsWeek17.pdf

Linear Systems - MoSim (SU) Week 17

On special request I will try to post the handouts from now on prior to the lecture. You can print it and take notes in class. The outline is as follows:

• Lineare Gleichungen
• Lineare Funktionen
• Beispiel: Lineare Schaltung
• Beispiel: Bewegte Masse
• Linearisierung
• Beispiel: Navigation
• Lineare Dynamische Systeme

Please remember that we have a new schedule! MoSim (SU) class will be this week Fr. 9:45-11:15 in MA NG 105. Download: LineareSystemeHandout.pdf

Systems and its Properties - MoSim (SU) Week 16

Todays topic was Systems and its Properties. Here are some headlines:

• Systeme, Übertragungsglieder, Blockschaltbild
• Statische und Dynamische Systeme
• Lineare und Nichtlineare Systeme
• Systeme mit konzentrierten oder verteilten Parametern
• Zeitvariante und Zeitinvariante Systeme
• Kontinuierliche und Diskrete Systeme
• Deterministische und Stochastische Systeme
• Stabile und Instabile Systeme

The handouts are available for download. The lecture notes are updated. Please use all this material and [Unbehauen: Regelungstechnik I, Kap. 2] for repetition. Homework assignment is to complete a MatLab/octave tutorial in order to get used to basic syntax (matrix/matrix operations). There are plenty of good tutorials on the internet. I will post some on the reading list. Next week we will have our first lab. We have Matlab 6.5 R13 installed on most of the PCs and hopefully a recent Octave version. You can choose which one you prefer or if you want to use your own computer. We discussed some practical issues. Most noticeable, we assigned students to lab groups and we agreed on a new schedule to accommodate the needs of the students in the 2nd group. All information can be found in the well known Organisation document.

Modelling and Simulation (B16.1)

Today was the opening event of the seminar on modelling and simulation (B16.1 MoSim at HTW Berlin, FB1). You will find here information about the materiale used in class, recommended readings and homework assignments. If you are a student of this course you are encouraged to make comments, give feedback or ask questions. If you are not one of those students, still I'm happy to see your comments. But please understand that my resources are limited to answer your questions.

We have been talking about practical issues. Most information you can find here:

• official course flier
• Organisation

The handouts of the presentation can be reviewed as well as the demo models:

• Crane Model
• Fractal Robot Arm
• Step Response with a P Controller
• Rhombic Drive for Stirling Engine
• Magnified Views of the Mandelbrot Set
• Rhombic Drive for Speed Governor
• Lorenz Attractor
• Julia Sets and the Mandelbrot Set
• Iterates, Cycles, and Bifurcations of the Logistic Map
• Inflating a Koch Snowflake
• A Two-State, Discrete-Time Markov Chain
• Finite-State, Discrete-Time Markov Chains

The lecture notes will also be available for download. please note that this is work in progress. Check from time to time and refresh your brouser.

Homework assignment for next seminar is reading the first chapter in H. Unbehauen: "Regelungstechnik I". Fokus on block diagrams in section 1.2. We will need it!