Non-fragile observer-based robust control for uncertain systems via aperiodically intermittent control

This paper focuses on the non-fragile robust stabilization problem for uncertain systems with structural uncertainties via observer-based state-feedback aperiodically intermittent control. First, based on the characteristics of intermittent control, a general representation of the observer coupled with the feedback intermittent controller with variable control periods and control widths is presented. Then, by constructing a piecewise Lyapunov func-tion, an asymptotic stability criterion is established to show what the control gains, the control periods and the control widths for the control scheme are required. After trans -forming the conditions related to control gains in the stability criterion into linear matrix inequalities via the singular value decomposition technique, two stabilization design crite-ria are developed for the gains with additive and multiplicative uncertainties, respectively. Furthermore, a simple design procedure is summarized based on the design criteria to show how to calculate the control gains and how to choose the corresponding allowable control periods and control widths. Finally, the effectiveness of the proposed method is demonstrated by a numerical example. (c) 2021 Elsevier Inc. All rights reserved.