Controls and Control Theory Commons^™

Stability Analysis Of Systems With Time Delay Simulation Program, Matthew Carroll, Brandon Replogle

Electrical Engineering

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 …

Stability Analysis Of A More General Class Of Systems With Delay-Dependent Coefficients, Chi Jin, Keqin Gu, Islam Boussaada, Silviu-Iulian Niculescu

SIUE Faculty Research, Scholarship, and Creative Activity

This paper presents a systematic method to analyse the stability of systems with single delay in which the coefficient polynomials of the characteristic equation depend on the delay. Such systems often arise in, for example, life science and engineering systems. A method to analyze such systems was presented by Beretta and Kuang in a 2002 paper, but with some very restrictive assumptions. This work extends their results to the general case with the exception of some degenerate cases. It is found that a much richer behavior is possible when the restrictive assumptions are removed. The interval of interest for the …