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.

2023S, VU, 2.0h, 2.0EC


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

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.

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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

Additional information

The first session will take place on Wednesday 02.03. 16:00-18:00 at GM 3 Vortmann Hörsaal - VT (see TUWEL).

The course is generally held in presence. However, should the situation require it, we will switch to an online format.



Examination modalities

  • written test (50%)
  • laboratory exercise incl. protocol & submission discussion (50%)

Course registration

Begin End Deregistration end
01.02.2023 00:00 16.05.2023 00:00 16.05.2023 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.

Preceding courses