Edgar E. Bermudez

Robust Control Analysis and Design of Singular Systems

Friday, September 29, 2000
8:15 AM
410 Dana Building

Abstract

In this thesis, the fundamental concepts of singular systems are studied. A parametric method for the design of a feedback controller such that the closed-loop system is regular, impulse-free with all eigenvalues in the desired location is presented. The robust stability analysis of singular systems under structured perturbation is investigated. Under the assumption that the nominal system is stable, sufficient conditions are proposed to guarantee the stability of the perturbed system. A robut stability bound is derived to preserve regularity, impulse-immunity and stability of structurally perturbed singular systems. A new method for the design of a robust controller for continuous-time, linear time-variant singular systems with highly structured uncertainties is presented. The method is valid for pole clustering purposes within two specified regions. Finally, some examples are provided to illustrate the results and validity of the proposed method.

Thesis Committee:
Prof. B. Shafai (advisor)
Prof. H. Lev-Ari
Prof. B. Wilson