Adaptive Sliding Mode Quantized Control under Hybrid Cyber-Attacks

This work investigates the sliding mode quantized control problem for networked control system (NCS) under Markov-conforming hybrid cyber-attacks. The system state is first quantized via a dynamic uniform quantizer, whose parameter is adaptively updated via a state-dependent adjusting strategy. A one-to-one mapping technique is used to cope with the hybrid attacks obeying Markov chains in sensor-controller (S-C) and controller-actuator (C-A) channel. And then, a sliding mode control (SMC) scheme is designed by means of the available quantized state signals via a compensation method. Furthermore, sufficient conditions are derived to attain the stability of the closed-loop system and the reachability of the specified sliding surface simultaneously. Finally, the practical simulation results are provided to illustrate the proposed security control strategy.