Finite horizon H∞ control for time-varying cyber-physical system under hybrid attacks
LIU Shan
LI Shan-bin
XU Bu-gong
Abstract：In this paper,the H∞ control problem for a class of linear time-varying cyber-physical system (CPS) under hybrid attacks in a finite horizon is considered.The hybrid attacks,including denial of service (DOS) attacks on sensorto-controller communication channels and false data injection (FDI) attacks on sensors and actuators,aim to destroy the measurement data and control data in order to endanger the functionality of the closed-loop system.The purpose of this paper is to study the relationship between the attack injected signals and the controlled output,and to design the controller gains so that the H∞ performance of the closed-loop system is guaranteed over a given finite horizon,meanwhile,the impact of attack signals in the worst case on the linear quadratic performance can be reduced.In order to solve the above problems,both the methods of stochastic analysis and completing squares are utilized to establish the sufficient conditions for the existence of the desired controller,and a finite-horizon controller design algorithm is presented by solving two coupled backward recursive Riccati difference equations (RDEs) subject to some scheduled conditions.At last,the numerical simulation and experimental results are given to demonstrate the efficacy of the proposed approach.
Keywords：cyber-physical systemhybrid attackstime-varying systemsH∞ controlrecursive Riccati difference equations
Publication Date：2020-02-28
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：9( 331-339 )