325.019 State space control of MIMO systems
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2021S, VU, 2.0h, 2.0EC


  • Semester hours: 2.0
  • Credits: 2.0
  • Type: VU Lecture and Exercise
  • Format: Distance Learning

Learning outcomes

After successful completion of the course, students are able to:

  • formulate and analyze state space models for multivariable systems.
  • linearize nonlinear multivariable systems.
  • investigate the multivariable system with regard to controllability/observability and to transform it into controlability form.
  • design linear control systems with the help of the method of pole placement
  • perform a complete or partial decoupling of the multivariable control system.
  • design a non-linear control or feedforward control by means of exact linearization.
  • perform optimization-based control designs.

The central communication platform is the TUWEL course including its message forum. Please follow it steadily.

The first session will take place as a Zoom meeting on Wednesday 03.03. 16:00-18:00 (see TUWEL).


Subject of course

  • State space models for MIMO systems,
  • Linearization,
  • Controllability and observability,
  • Design of linear MIMO control systems using the method of pole placement,
  • Decoupling,
  • Exact linearization and design of nonlinear feedforward control schemes,
  • Optimal control.

The VU is supported by extensive examples which are available as complete MATLAB/Simulink packages for the students (e.g. ESP control, damping of torsional vibrations, multi-tank system). The comprehensive use of MATLAB/Simulink should enable the participants to design complex multi-variable control systems and test them in simulation.

Teaching methods

The course is designed interactively. In the lecture parts, the theoretical fundamentals are worked out and the knowledge imparted in this way is additionally vividly supported by practice-relevant problems. In numerous exercise examples the application of the previously theoretically mediated contents is clarified by calculation and simulation examples.

Mode of examination

Written and oral



Course dates

Wed16:00 - 18:0003.03.2021 - 30.06.2021 Lecture or Exercise
State space control of MIMO systems - Single appointments
Wed03.03.202116:00 - 18:00 Lecture or Exercise
Wed10.03.202116:00 - 18:00 Lecture or Exercise
Wed17.03.202116:00 - 18:00 Lecture or Exercise
Wed24.03.202116:00 - 18:00 Lecture or Exercise
Wed14.04.202116:00 - 18:00 Lecture or Exercise
Wed21.04.202116:00 - 18:00 Lecture or Exercise
Wed28.04.202116:00 - 18:00 Lecture or Exercise
Wed05.05.202116:00 - 18:00 Lecture or Exercise
Wed12.05.202116:00 - 18:00 Lecture or Exercise
Wed19.05.202116:00 - 18:00 Lecture or Exercise
Wed26.05.202116:00 - 18:00 Lecture or Exercise
Wed02.06.202116:00 - 18:00 Lecture or Exercise
Wed09.06.202116:00 - 18:00 Lecture or Exercise
Wed16.06.202116:00 - 18:00 Lecture or Exercise
Wed23.06.202116:00 - 18:00 Lecture or Exercise
Wed30.06.202116:00 - 18:00 Lecture or Exercise

Examination modalities

  • written online test incl. random oral examination (50%)
  • laboratory exercise incl. protocol & submission discussion (50%)


DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Wed16:00 - 19:0029.09.2021Seminarraum BA 08B written16.06.2021 20:00 - 28.09.2021 12:00TISSErsatztest

Course registration

Begin End Deregistration end
03.02.2021 00:00 18.05.2021 00:00 18.05.2021 00:00


Study CodeSemesterPrecon.Info
066 445 Mechanical Engineering STEOP
Course requires the completion of the introductory and orientation phase
066 473 Chemical and Process Engineering
066 482 Mechanical Engineering - Management STEOP
Course requires the completion of the introductory and orientation phase


Lecture notes for this course are available. nstitut für Mechanik und Mechatronik, E 325, Abteilung für Regelungstechnik und Prozessautomatisierung Price: EUR 13.-

Recommended Book: Jan Lunze, Regelungstechnik 2: Mehrgrößensysteme, Digitale Regelung

Previous knowledge

The students should have a basic knowledge about state space control for SISO systems as presented in the courses "Prozessregelung", LVA-No. 325.001 or "Feedback Control", LVA-No. 325.055.