带有欺骗攻击的区间二型T-S模糊系统的高效模型预测控制

Efficient model predictive control for interval type-2 T-S fuzzy systems with deception attacks

研究欺骗攻击影响下的区间二型T-S模糊系统的高效模型预测控制(efficient model predictive control,EMPC)问题.考虑到数据从传感器节点传输到控制器节点受到欺骗攻击的影响,设计一种EMPC框架下基于状态观测器的输出反馈控制器.首先,针对能量有界的欺骗攻击,构建辅助优化问题,离线求解终端约束集以及满足系统H2安全的固定反馈控制增益和观测器增益;其次,引入摄动量提供控制自由度,离线求解增广系统的不变集,通过最大化该不变集在原状态空间的投影得到初始可行域;然后,在线优化摄动量得到满意的控制律,确保系统在欺骗攻击影响下的安全性;最后,给出所提出的EMPC算法理论可行性和系统安全性的证明,并通过仿真实例验证所提出算法的有效性.

This paper investigates the efficient model predictive control(EMPC)problem of a class of interval type-2 T-S fuzzy systems with deception attacks.Considering the influence of deception attacks during the data transmission from the sensor node to the controller node,an observer-based output feedback controller in the framework of EMPC is designed.Firstly,aiming at the energy bounded deception attacks,an auxiliary optimization problem is established.Then,by solving this problem offline,the terminal constraint set and the gains of the corresponding fixed feedback controller and observer that guarantee the system H2 security are derived.Secondly,perturbations are employed to provide more control freedom,and the invariant set of the augmented system can be designed off-line.In this sense,by maximizing the projection of such an invariant set in the original state space,the initial feasible region is readily obtained.Thirdly,an online optimization problem is put forward to find the desired control law to guarantee system security under deception attacks.Finally,the proof is provided to show the theoretical feasibility of the proposed EMPC algorithm and the security of the closed-loop system.In addition,the effectiveness of the proposed algorithm is verified by a simulation example.