Modern Control 1

Module MW0538

This Module is offered by Chair of Automatic Control (Prof. Lohmann).

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Basic Information

MW0538 is a semester module in German language at Master’s level which is offered in summer semester.

This Module is included in the following catalogues within the study programs in physics.

  • Catalogue of non-physics elective courses
Total workloadContact hoursCredits (ECTS)
150 h 45 h 5 CP

Content, Learning Outcome and Preconditions


Modern state space methods allow for the controller design of complex multi input multi output (MIMO) which appear in mechatronics, vehicle and flight control as well as in process engineering. Outline of the module 1. Introduction 2. Design of state feedback control for MIMO systems 3. State observers 4. Disturbance attenuation 5. Extended controller structures 6. Feedback linearization of nonlinear sytsems 7. Outlook: Artificial Neural Networks and control by Fuzzy Logic

Learning Outcome

After attending the module the participants should be able to - apply the presented theory to the design of linear state feedback controllers and observers - assess the applicability of the different presented methods and use them for the corresponding classes of systems - assess system properties like stability, controllability, observability for open loop and closed loop systems under the conditions of the applied design method - augment state space control by the presented methods for disturbance attenuation - design feedback linearizing controllers for nonliner single input single output (SISO) system - create block diagrams for complexe control tasks - understand the principles of Artificial Neural Networks and control by Fuzzy Logic.


The contents of the basic module "Automatic Control" are required as well as basic knowledge of linear algebra and first order linear differential equations as taught in "Höhere Mathematik". The module "Systems Theory in Mechatronics" is recommended. As an alternative an introduction to the state space representation can be downloaded for individual preparation: - Grundlagen.pdf (revision of important facts from "Automatic Control") - Zustandsdarstellung.pdf (important issues from "Systems Theory"), - Analyse.pdf (additional material on controllability, observability, stability, invariant zeros).

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

Learning and Teaching Methods

In the lectures all presented methods are derived systematically and consecutively on the blackboard and illustrated by examples. Supplementary material can be downloaded ("Beiblätter"). Problems can be downloaded and the solutions are presented in parts in the problem sessions. Active participation of the students (questions, comments) is desired. Additional problems are provided for unassisted exercise as well as solutions to all problems (download). Furthermore three tutorial sessions in several groups are offered to apply the content of the module to three technical problems. Office hours of the assistant lecturer (on appointment) offer a possibility for further questions and discussion.


Lecture, blackboard, tablet presentation via beamer Additional material, problems, solutions and tutorials can be downloaded from the institute's webpage


[1] Föllinger, O.: Regelungstechnik. 10. Auflage, Hüthig-Verlag 2008. A standard book which widely covers the content of the lecture. [2] Lunze, J.: Regelungstechnik 1 und 2. Springer 1997. Textbook in 2 volumes, many examples and problems, including MATLAB problems. [3] Ludyk, G.: Theoretische Regelungstechnik. Springer 1995. Two volume textbook with a focus on mathematical accuracy and completeness. [4] Slotine, J.J.E. and W. Li: Applied Nonlinear Control. Prentice Hall. Famous textbook on nonlinear control. [5] Franklin, G.F., Powell, J.D., Emami-Naeini, A.: Feedback Control of Dynamic Systems. Pearson 2006. Modern textbook. [6] Dorf, R.C., Bishop, R.H.: Moderne Regelungssysteme. Pearson 2006. Famous textbook, in English or German.

Module Exam

Description of exams and course work

In the written test the topics of the module are examined - from the theoretical viewpoint as well as applied to practical problems. The main part of the exam consists of the application of the learned methods on different problems by calculations. In the smaller part theoretic issues are checked by comprehension questions. The only allowed aid is a self-provided, handwritten formulary on a both-sided DIN A4 sheet. A calculator is not allowed

Exam Repetition

There is a possibility to take the exam in the following semester.

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