The Open Cybernetics & Systemics Journal
2008, 2 : 153-157Published online 2008 May 9. DOI: 10.2174/1874110X00802010153
Publisher ID: TOCSJ-2-153
Stabilization of Delay Systems with Nonlinearly Correlated Perturbations by a Constant Controller
Universidad Iberoamericana,
Departamento de Física y Matemáticas, Paseo de la Reforma #880, Lomas
de Santa Fe, México, D. F. 01219, México.
ABSTRACT
In this paper we prove that the same design method of constant controllers for a delay systems given in the literature can be used to stabilize a minimum phase systems with nonlinearly correlated perturbations in the coefficients. This type of perturbation is induced by the composition with strictly positive real functions. This result can also be interpreted on the context of simultaneous and robust stabilization for single-input single-output, linear time invariant delay systems.