Sliding Mode Control With Adaptive Quantizer's Parameters for Markov Jump Systems Under DoS Attacks

Abstract

Under the digital communication channel, signal quantization will complicate the design and analysis of controlled systems due to quantization errors. In most of the existing work, the controller design only focuses on the robustness of the controlled system, that is, the performance of the system in the presence of quantization errors, without considering whether the effects of the quantization process can be eliminated, which leads to conservatism and limits the improvement of control performance. Therefore, in this work, a sliding mode controller is designed for Markov jump systems subject to denial-of-service attacks, without considering quantization. Then, under the quantization case, the same control performance can still be achieved based on the existing sliding mode controller by designing an online adjustment strategy for the quantizer's parameters. Using the Lyapunov theory, the exponential ultimate boundedness of the system and the reachability of the sliding surface are analyzed respectively. Finally, the simulation results illustrate the proposed strategy.