Stabilization for two-dimensional delta operator systems with time-varying delays and actuator saturation

Abstract

Abstract In this paper, stabilization is studied for a two-dimensional delta operator system with time-varying delays and actuator saturation. Both lower and upper bounds of the time-varying delays are considered. An estimate of the domain of attraction for the two-dimensional delta operator system is introduced to analyze stability of the closed-loop system. A state feedback controller is designed via a Lyapunov–Krasovskii functional approach for the two-dimensional delta operator system with time-varying delays and actuator saturation. Two numerical examples are given to illustrate the effectiveness and advantages of the developed techniques.

Keywords

• Two-dimensional (2-D) systems
• Delta operator systems
• Actuator saturation
• Time-varying delays