Selected Topics of Complex Systems Control Design

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. 

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.

Lectures and seminar work