Linear systems with unstructured multiplicative uncertainty: Modeling and robust stability analysis

• Published in: PloS one Vol. 12; no. 7; p. e0181078
• Main Authors: Matusu, Radek, Senol, Bilal, Yeroglu, Celaleddin
• Format: Journal Article
• Language: English
• Published: United States Public Library of Science 12.07.2017; Public Library of Science (PLoS)
• Subjects: Computer and Information Sciences; Computer engineering; Construction; Control stability; Control systems; Control theory; Controllers; Earth Sciences; Engineering and Technology; Feedback; Feedback loops; International conferences; Linear systems; Methods; Physical Sciences; Programming, Linear; Research and Analysis Methods; Robust control; Robustness; Robustness (Statistics); SISO (control systems); Stability analysis; Studies; Uncertainty; Weighting functions; Czech Republic
• ISSN: 1932-6203; 1932-6203
• DOI: 10.1371/journal.pone.0181078

This article deals with continuous-time Linear Time-Invariant (LTI) Single-Input Single-Output (SISO) systems affected by unstructured multiplicative uncertainty. More specifically, its aim is to present an approach to the construction of uncertain models based on the appropriate selection of a nominal system and a weight function and to apply the fundamentals of robust stability investigation for considered sort of systems. The initial theoretical parts are followed by three extensive illustrative examples in which the first order time-delay, second order and third order plants with parametric uncertainty are modeled as systems with unstructured multiplicative uncertainty and subsequently, the robust stability of selected feedback loops containing constructed models and chosen controllers is analyzed and obtained results are discussed.