Static Output Feedback Predictive Control for Cyber-Physical System under Denial of Service Attacks

Zhiwen Wang,Hongtao Sun,Xiaoping Wang,Peng Xin

doi:10.1155/2020/5412170

Abstract

This paper addresses the static output feedback predictive (SOFP) control problem with cyber-physical system (CPS) subject to Denial-of-Service (DoS) attacks. The effects of DoS attacks are reasonably assumed to the bounded consecutive packet dropouts by considering the energy constraints of an attacker. Then, a novel predictive control sequence, in which only the latest successfully received output is employed, is designed to compensate such packet dropouts caused by DoS attacks. Furthermore, the stability criterion and predictive control design are carefully derived by using the switching Lyapunov functional approach and linear matrix inequality. Compared with the previous works, the proposed predictive control strategy can compensate arbitrary packet dropouts under DoS attacks while only the latest successfully received output is available. At last, a simulation example illustrates the effectiveness of the SOFP control strategy.

Highlights

Introduction e rapid development ofcyber-physical system (CPS) is attributed to the strong integration among computation, communication, and control technology, in which CPS has received considerable attention in the past decades
System Framework. e structure of static output feedback predictive (SOFP) control considered in this paper is shown in Figure 1, where the studied CPS is composed by the sensor, controller, buffer, and actuator. e SOFP control strategy against attack-induced severe packet dropout is that the controller receives all the measurement outputs from sensor and calculates the sequence of control inputs, which transmits to the buffer simultaneously. en, the actuator selects the corresponding control value from [u(th)T, u(th + 1)T, . . . , u(th + τ)T]T and delivers appropriate control inputs to the plant, which can compensate the arbitrary packet dropouts caused by DoS attacks
According to (5)–(7), model (1) with SOFP control strategy can be transformed into the following closed-loop system included N-steps packet dropouts: x th+1􏼁 Φix th􏼁, (8)

Summary

Problem Formulations

E SOFP control strategy against attack-induced severe packet dropout is that the controller receives all the measurement outputs from sensor and calculates the sequence of control inputs, which transmits to the buffer simultaneously. U(th + τ)T]T and delivers appropriate control inputs to the plant, which can compensate the arbitrary packet dropouts caused by DoS attacks. To clearly describe the energy-limited characteristics of DoS attacks in this paper, the following assumption is given. The attackers gradually run out of energy because of an inherent characteristic of energy constraints [27] Based on this reliable fact, it is reasonable to consider that the packet dropouts of consecutive DoS attacks are bounded. According to (5)–(7), model (1) with SOFP control strategy can be transformed into the following closed-loop system included N-steps packet dropouts:. It illustrates the essential characteristics of the proposed SOFP control strategy, that is, the state is unchanged and the controller gain is changed

Stability Analysis

Control Design of SOFP

Simulation Example

Conclusion