Nonlinear Control Systems

Course title: Nonlinear Control Systems

Code: FEIT01L010

Number of credits (ECTS): 6

Weekly number of classes: 2+2+1+0

Prerequisite for enrollment of the subject: None

Course goals/Competences: The basic goal of the course is student to gain knowledge for the basic concepts of nonlinear dynamical systems, their representation and modeling, and methods for analyzing the dynamic behavior and stability of these systems. Gaining knowledge on how to find solution for control of nonlinear systems (full ability to analyze the control of nonlinear systems and ability to design controllers for specific nonlinear system, using additional literature). The student will be able to use the gained knowledge, working on projects that involve research on nonlinear control systems, as well as to implement the knowledge in the industry.

Total available number of classes: 180

Curriculum: General concepts of nonlinear dynamic. Phase space, phase plane, phase portrait and state space representation of nonlinear systems. Phase plane topology. Analytical and grapho-analitical methods of plotting phase plane trajectories. Isocline method. Singular points and characteristic trajectories for second order nonlinear systems. Phenomenological appearences, multiple limit cycles, resonance jump, bifurcation and chaos.  Phase portraits of second order nonlinear systems with typical nonlinearities. Harmonic linearization method. Algebraic methods for finding periodic solutions in frequency domain and their stability. Lyapunov stability theory.

Literature: