This paper is concerned with the problem of designing a fault-tolerant controller for uncertain discrete-time networked control systems against actuator possible fault. The step difference between the running step

Networked control systems (NCSs) are used in many fields such as remote surgery and unmanned aerial vehicles especially in a number of emerging engineering applications such as arrays of microactuators and even neurobiological and socialeconomical systems [

Because of the complexity caused by network, NCSs are more vulnerable to faults. An effective way to increase the reliability of the NCSs is to introduce fault-tolerant control (FTC). Therefore, the research on fault-tolerant control of NCSs has great theoretical and applied significance; however research on FTC for NCSs is different from that for traditional control systems in many aspects [

Problems of partial sensors inactivation are equal to problems of data pack dropout which can be solved by common technique; we focus on the problems of reliability when actuators are inactivated in this paper.

In this paper, the step difference

This paper is organized as follows. In Section

Consider the NCSs setup in Figure

Structure of networked control system.

By adding a buffer to the actuator, the delay

Assume that the model of the plant is an uncertain discrete-time system as follows:

Considering the effect of the random communication delay and the data packet dropout, we describe the state feedback control law as

Consequently, the closed-loop system from (

It can be seen that the closed-loop system (

It is noticed that

System (

The object of this paper is to construct a fault-tolerant controller with structure as given by (

To proceed, we will need the following two lemmas.

Given matrices

The matrix

With Definition

The closed-loop system (

For the closed-loop system (

Clearly, no knowledge on

Consider system (

According to Theorem

By Lemma

In this section, a numerical example is given to show the validity and potential of our developed theoretical results. The dynamics are described as follows:

Zero-input response of

Zero-input response of

The curves of zero-input response states

This paper is concerned with the problem of fault-tolerant control for uncertain discrete-time networked systems against actuator possible fault. The time-delay is modeled as a finite state Markov chain and the Markov chain’s transition probabilities the information is limited. The closed-loop system is established through the state augmentation technique and the state feedback controller is designed which guarantees the stability of the resulting closed-loop systems. It is shown that the controller design problem under consideration is solvable if a set of LMIs is feasible. Simulation results show that the closed-loop systems are stochastically stable against actuator fault.

The authors declare that there is no conflict of interests regarding the publication of this paper.

This study is supported by the National Natural Science Foundation of China under Grant no. 61174029, the National Natural Science Foundation of China under Grant no. 61503136, the Zhejiang Provincial Natural Science Foundation of China under Grant no. LY12F03008, and the Huzhou Natural Science Foundation of China under Grant no. 2014YZ07.