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-degree of freedom loops, 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.
Lecture notes for this course are available under https://www.acin.tuwien.ac.at/bachelor/automatisierung/.
[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)
