ENEE 769D: Control of Bifurcations and Chaos with Applications
If a nonlinear system leaves its stable operating regime through a steady change of system parameters, the original steady state gives way to new operating modes through a process known as bifurcation. Often in control practice, loss of stability is considered a failure of the controller and no analysis of the outcomes is pursued. In this course, we pursue the new subject of control design for (nonlinear) systems undergoing bifurcations and chaos, emphasizing applications from a variety of areas. Bifurcations most often occur when systems are driven into regimes of high performance, but less secure, operation. It is not uncommon for bifurcations to occur in sequences leading to chaotic behavior, and we will also address control of chaos in the course. Applications for which bifurcations and chaos have been observed include models of aircraft flight dynamics, jet engine stall, electric power system voltage collapse, chaotic behavior of lasers, electrical circuits, power electronic systems, heart dynamics, economic systems, and communication networks. We will pursue old and new applications in the course, and some of the students may pursue a measure of research into possible uncharted applications.
ENEE663 and ENEE661, or permission of instructor
The course assumes familiarity with linear control concepts and with the main stability results in nonlinear ordinary differential equations.
Class notes (to be distributed).
Nonlinear phenomena in communication networks
Grading Method:The weightings used in grade assignment are planned to be:
Homework and class participation: 40%
| Dept. of Electrical & Computer Engineering | A. James Clark School of Engineering | University of Maryland |