About robust hyperstability and dissipativity of linear time-invariant dynamic systems subject to hyperstable controllers and unstructured delayed state and output disturbances. Issue 1 (1st January 2018)

• Record Type: Journal Article
• Authors: De la Sen, M.
• Editors: Zhou, Bin
• Is Part Of: Cogent engineering. Volume 5:Issue 1(2018)
• Publication Date: 2018-01-01
• Subjects: hyperstability -- asymptotic hyperstability -- Popov′s inequalities -- positive real transfer function -- strictly positive real transfer function -- robustness; Engineering -- Periodicals; Technology -- Periodicals; Engineering; Technology; Periodicals; 620
• DOI: 10.1080/23311916.2018.1437662
• Languages: English
• ISSNs: 2331-1916

Abstract

Abstract: This paper considers the robust asymptotic closed-loop hyperstability of a nominal time-invariant plant with an associate strongly positive real transfer function subject to unstructured disturbances in the sate and output. Such disturbances are characterized by upper-bounding growing laws of the state and control. It is assumed that the controller is any member within a class which satisfies a Popov´s type integral inequality. The continuous-time nonlinear and perhaps time-varying feedback controllers belong to a certain class which satisfies a discrete-type Popov´s inequality. The robust closed-loop hyperstability property is proved under certain explicit conditions of smallness of the coefficients of the upper-bounding functions of the norms of the unstructured disturbances related to the absolute stability abscissa of the modelled part of the nominal feed-forward transfer function.