Title :
On the parametric analysis of complex switching relay control systems
Author :
Guedes, F.M. ; Kienitz, K.H.
Author_Institution :
Technol. Inst. of Aeronaut., São José dos Campos, Brazil
Abstract :
In certain applications relay control systems, under specific system conditions, might present a complex switching. These complex switchings result in limit cycles of complex type. In the literature complex limit cycles are treated only for relay control systems using relay elements without dead-zone. In this context, this work follows the method proposed by Tsypkin to derive existence conditions of complex limit cycles for relay control systems using relay elements with dead-zone and go further on the analysis and determination of existence conditions for complex limit cycles in systems with this element and time restrictions. These complex limit cycles are shown experimentally to exist. Additionally, this paper shows how to estimate the shape of these complex switchings according to specific bifurcations occurrence.
Keywords :
large-scale systems; limit cycles; relay control; complex limit cycles; complex switching relay control system; parametric analysis; relay element; Bifurcation; Fourier series; Limit-cycles; Relays; Shape; Switches;
Conference_Titel :
Control and Automation (ICCA), 2011 9th IEEE International Conference on
Conference_Location :
Santiago
Print_ISBN :
978-1-4577-1475-7
DOI :
10.1109/ICCA.2011.6138016