[ 281VROARTLV20 ] VL Linear Control Theory

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Workload Education level Study areas Responsible person Hours per week Coordinating university
3 ECTS B3 - Bachelor's programme 3. year Mechatronics Markus Schöberl 2 hpw Johannes Kepler University Linz
Detailed information
Original study plan Bachelor's programme Mechatronics 2023W
Objectives Introduction to the mathematical foundations of the theory of linear systems

Mastery of advanced concepts in the state space

Introducing the basics of algebraic synthesis

Introduction to the concepts of optimal linear control

The level of the mathematical methods used to describe the dynamic systems, to design the control laws and to synthesize the control circuits corresponds roughly to that in the textbooks T. Kailath, Linear Systems, Prentice-Hall, Englewood Cliffs, 1980; M.M. Uddin, Computational Methods for Approximation of Large-Scale Dynamical Systems, CRC Press Taylor & Francis Group, 2019

  • Linear algebra for the theory of linear systems
  • Complex analysis for the theory of linear systems
  • Basic properties such as accessibility, observability, etc.
  • Lyapunov and Riccati equations, Gramians
  • Optimal control, LQR and LQG design with and without inputs
  • Fundamentals for the algebraic synthesis, rings of polynomials, rings of stable transfer functions
  • Norms for optimal control loop design
Criteria for evaluation Written and/or oral exam
Methods Lecture with blackboard and slides
Language German
Study material JKU KUSSS and/or Moodle
Changing subject? No
Corresponding lecture (*)MEBPEVOAUT1: VO Automatisierungstechnik 1 (3 ECTS) oder MEBPEVOAUT2: VO Automatisierungstechnik 2 (3 ECTS)
On-site course
Maximum number of participants -
Assignment procedure Assignment according to sequence