College - Author 1

College of Engineering

Department - Author 1

Electrical Engineering Department

Degree Name - Author 1

BS in Electrical Engineering

College - Author 2

College of Engineering

Department - Author 2

Electrical Engineering Department

Degree - Author 2

BS in Electrical Engineering



Primary Advisor

Xiao-Hua (Helen) Yu, College of Engineering, Electrical Engineering Department


A small company wants to develop a CAD tool, ideally as part of the MATLAB suite of tools, for system stability analysis of nonlinear control systems with time-delay. The program must allow the designer to input the system block diagram graphically, then using symbolic expansion, automatically generate the Laplace domain stability boundary and disturbance settling time. The stable regions are then to be graphically plotted as a set of 2- or 3-dimensional parametric stability boundaries. The designer can then input performance constraints on the system through the MATLAB console and a Simulink environment will automatically be generated.

This program is designed to start with a mathematical model input into MATLAB Simulink with design parameters set by the designer. The program then applies Dr. Karmarkar’s algorithm to generate the characteristic equation and plot the parameter plane of the system allowing the designer to pick a point in design space based on multiple design criteria, then, based on this criteria use Simulink to verify the performance of the selected point.