Nonlinear Control Systems

Course title: Nonlinear Control Systems

Code: 3ФЕИТ01З011

Number of credits (ECTS): 6

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

Prerequisite for enrollment of the subject: None

Course Goals (acquired competencies): 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. The student will gain knowledge for solving control problems of nonlinear systems (being fully able to analyze the nonlinear control systems and having ability to design controllers for specific nonlinear system, using additional literature). The student will be able to use the gained knowledge on research projects, as well as to implement the knowledge in the industry.

Total available number of classes: 180

Course Syllabus: Introduction to nonlinear dynamical systems; Linearization and its significance for the analysis of nonlinear systems; Nonlinear phenomena; Appearance, nature, systematization and description of nonlinearities and nonlinear control systems; Construction of phase portraits (analytical and graphical methods for plotting phase trajectories; isocline method); Equilibrium points and typical closed orbits; Limit cycles, jump resonance, bifurcation and chaos; Phase portraits of nonlinear second order control systems with typical nonlinearities; Harmonic linearization; Periodic oscilations of nonlinear control systems (determining periodic solutions and their stability in frequency domain); Lyapunov stability of nonlinear control systems; Absolute stability of nonlinear control systems; Introduction to the design of nonlinear control systems.

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