Reliable \(l_2\)-\(l_{\infty}\) and \(H_{\infty}\) control for nonlinear singular systems via dynamic output feedback
Summary: The reliable \(l_2\)-\(l_{\infty}\) and \(H_{\infty}\) control for a class of Lipschitz nonlinear discrete-time singular systems with time delay is investigated via dynamic feedback control. The main goal of this paper is to design a generalized nonlinear controller such that, for possible actuator failures, the closed-loop system is regular, casual, and stable with a given \(l_2\)-\(l_{\infty}\) and \(H_{\infty}\) disturbance attenuation level being satisfied. Some sufficient conditions are obtained in terms of linear matrix inequalities (LMIs), and the controller design method is also proposed. Finally, a numerical example is included to illustrate the effectiveness of our proposed results.
\(l_2\)-\(l_{\infty}\) and \(H_{\infty}\) control
scientific article; zbMATH DE number 7022846
scientific article