The lecture gives an introduction to control theory including the essential system-theoretic basics of linear continuous-time and discrete-time systems and the systematic design of controllers in the frequency domain, as well as the controller and observer design using state-space methods.

Introduction to continuous-time and discrete-time systems, the concept of state, linearity, time-invariance, state transition matrix, Jordan canonical form, equilibrium points, linearization (around an equilibrium and a trajectory), asymptotic stability of an equilibrium, input-output representation (transfer function, transfer matrix), realization problem for SISO-systems, frequency response (bode plot, nyquist plot), BIBO-stability (Routh-Hurwitz-, Michailov-, Nyquist-criterion), the concept of closed loop versus open loop, performance considerations, internal stability, asymptotic tracking, disturbance rejection, one- and two-parameter feedback systems, cascade control loops, design of control systems in the frequency domain: loopshaping technique (P-, I-, PD-, PI-, PID-, Lead-, Lag-compensator, Notch-filter), reachability and observability (reachability and observability matrix, PBH test, reachability and observability Gramian, Markov parameter and Hankel matrix), design of control systems in the state-space: pole-assignment (formula of Ackermann), observer design (trivial observer, full state Luenberger observer), duality principle, separation principle, implementation of digital controllers

• Preliminary discussion in the first lecture (introductory lecture for automatic control) on the 4th of October 2016.
• Exercise course starts in November 2016
• Used software: Matlab/Simulink + Control System Toolbox, computer algebra program MAPLE
• Guidelines for the exercise course:
  Exercises are available on the homepage. Both attendance and work out of the exercises is not compulsory and therefore will not be checked.

The examination for Automatisierung is both written and oral. Generally, for the first, second and third attempt the candidate is only allowed to participate the oral exam if the written exam is passed. Beginning with the fourth attempt there is an oral exam independent of the result of the written exam.

Lecture notes for this course are available. http://www.acin.tuwien.ac.at/?id=42 [1] Ackermann J., Abtastregelung, 3. Auflage, Springer, Berlin Heidelberg, (1988). [2] Aström K.J., Wittenmark B., Computer-Controlled Systems, 3rd Ed., Prentice Hall, New Jersey, (1997). [3] Chen C.-T., Control System Design, Pond Woods Press, New York, (1987). [4] Franklin G.F., Powell, J.D., Workman, M., Digital Control of Dynamic Systems, Addison Wesley, California, (1998). [5] Gausch F., Hofer A., Schlacher K., Digitale Regelkreise, Oldenbourg, München, (1991). [6] Horn M., Dourdoumas N., Regelungstechnik, Pearson Studium, München, (2004). [7] Isermann R., Digitale Regelkreise, Band I, 2. Auflage, Springer, Berlin Heidelberg, (1988). [8] Kailath T., Linear Systems, Prentice Hall, New Jersey, (1980). [9] Ludyk G., Theoretische Regelungstechnik 1 und 2, Springer, Berlin Heidelberg, (1995). [10] Luenberger D.G., Introduction to Dynamic Systems, John Wiley & Sons, New York, (1979). [11] Lunze J., Regelungstechnik 1 (5. Auflage) und 2 (3. Auflage), Springer, Berlin Heidelberg New York, (2006) und (2005). [12] Reinschke K., Lineare Regelungs- und Steuerungstheorie, Springer, Berlin Heidelberg, (2006). [13] Rohrs Ch., Melsa J.L., Schultz D.G., Linear Control Systems, McGraw-Hill, New York, (1993). [14] Rugh W.J., Linear System Theory, Prentice Hall, New Jersey, (1993). [15] Weinmann A., Regelungen: Analyse und technischer Entwurf, Band 1 und 2, 3. Auflage, Springer, Wien New York, (1998)

The following lectures are STRONGLY recommended as previous knowledge: Mathematik 1 f. ET, Mathematik 2 f. ET, Mathematik 3 f.ET, Signale und Systeme 1, Signale und Systeme 2