Resilient Sampled-Data Control for Markovian Jump Systems With an Adaptive Fault-Tolerant Mechanism

This brief investigates the problem of passivity-based resilient sampled-data control for Markovian jump systems subject to actuator faults via an adaptive fault-tolerant mechanism. By constructing a proper Lyapunov function, a set of sufficient conditions is obtained in terms of linear matrix inequalities (LMIs), which ensures that the closed-loop system is stochastically passive. In order to reflect the imprecision in controller, the additive gain variations is considered. Then, the resilient sampled-data control parameters can be determined by solving the obtained LMIs. Finally, an illustrative example is presented to show the validity and applicability of the proposed design technique.

I. Introduction

Over the past several decades, Markovian jump systems have been successfully applied in many areas of science and engineering such as manufacturing systems, aircraft control, target tracking, robotics, solar receiver control, economic systems and many important results have been proposed in [1]–[5]. On the other hand, owing to the rapid development in digital circuits, powerful micro controllers and digital computers, the importance of sampled-data control technique has been increasing quickly in the research area. In sampled-data systems, the discrete-time controller can also be modeled as a continuous-time controller with time-varying delay. Much attention has been devoted to the study of sampled-data control systems in the past few decades and consequently many important results have been reported in [6]–[8].