State Estimation and Stabilization of Nonlinear Systems with Sampled-Data Control and Uncertain Disturbances

• Published in: Automation and remote control Vol. 82; no. 4; pp. 634 - 653
• Main Author: Malikov, A. I.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.04.2021
• Subjects: CAE) and Design; Calculus of Variations and Optimal Control; Optimization; Computer-Aided Engineering (CAD; Control; Mathematics; Mathematics and Statistics; Mechanical Engineering; Mechatronics; Nonlinear Systems; Robotics; Systems Theory; continuous system with Lipschitz nonlinearities; state estimation; differential linear matrix inequality; uncertain disturbance; sampled-data control
• ISSN: 0005-1179; 1608-3032
• DOI: 10.1134/S0005117921040032

We consider continuous-time sampled-data control systems with uncertain nonlinearities subject to bounded exogenous disturbances. Based on the method of quadratic Lyapunov functions, matrix comparison systems, and the technique of differential linear matrix inequalities, an approach is developed to problems of state estimation and rejection of initial deviations and uncertain disturbances using sampled-data state feedback. A method is proposed for the synthesis of a periodic and an aperiodic sampled-data control ensuring that the trajectories of the original system on a finite horizon lie in a given set under any disturbances bounded in the -norm.