Selected Topics of Complex Systems Control Design

Subject description

The course covers the following topics: 

  • introduction to complex systems (description and mathematical representations of complex dynamical systems: multivariable and large systems, systems with delays, nonminimum-phase systems, nonlinear and time-varying systems, discrete-event systems, hybrid continuous-discrete systems, model uncertainties), 

  • methods for the analysis of complex continuous and discrete-event systems, 

  • control design for complex continuous systems: optimal control, adaptive control, predictive control, hierarchical and distributed control, control based on state space representation (linear quadratic regulator, state observer, Kalman filter), 

  • control design for hybrid and discrete-event systems, 

  • technological aspects of complex control system implementation, application to the implementation of programmable control systems. 

Taking into account extensiveness of indicated theory, adaptation to student's specifics is also possible. 

The subject is taught in programs

Objectives and competences

Course goals are:

  • to present properties of dynamic systems which introduce difficulties to control design,
  • to present mathematical tools  enabling analysis of mentioned problems,
  • to present some of algorithms and methods which are suitable for such systems design,
  • to present practical implementation problems of complex control systems.

Teaching and learning methods

Lectures and seminar work

Expected study results

After successfully completing the module, students should be able to: 

  • define the properties of dynamical systems, 

  • explain why the achievable quality of behaviour of some systems is limited, 

  • identify aspects of the complexity of dynamical systems, 

  • apply selected methods of control design for complex systems, 

  • evaluate the control performance, 

  • present the results of the design in written and oral form. 

Basic sources and literature

  1. K. J. Åström, B. Wittenmark, Adaptive control (2nd ed.), Dover Publications, Mineola, NY, USA, 2008. 
  2. E. F. Camacho, C. Bordons, Model Predictive control, Springer London, 2007. 
  3. C. G. Cassandras, S. Lafortune, Introduction to Discrete Event Systems (2nd. ed.), Springer New York, NY, 2010. 
  4. G. F. Franklin, J. D. Powell, A. Emami-Naeini, Feedback control of dynamic systems (8th global ed.) Pearson, Harlow, 2020. 
  5. R. Karba, M. Atanasijević-Kunc, Multivariabilni sistemi, Založba FE in FRI, 2010. 
  6. S. Skogestad, I. Postlethwaite, Multivariable Feedback Control, Analysis and Design, John Wiley and Sons Ltd, Chichester, 2006. 

Stay up to date

University of Ljubljana, Faculty of Electrical Engineering Tržaška cesta 25, 1000 Ljubljana

E: T:  01 4768 411