HMM-based adaptive attack-resilient control for Markov jump system and application to an aircraft model

Highlights：

• The attack on switching signal is firstly considered in this paper. By conditional probability observation matrix, the Markov jump system with attacks is modeled as nonlinear hidden Markov jump system. Moreover, the model is transformed to make the coefficients of system input mode-free, which is helpful in designing of adaptive attack-resilient controller.

• Applying the projection operation, the adaptive law is designed to estimate the time-varying parameters and matrix. Moreover, the change rate of the adaptive law is bounded and independent of anything ideal feedback data, including system states and switching signal.

• Based on the HMM model and bounded adaptive law, the adaptive attack-resilient control strategy and solution method of controller parameters are proposed in linear form. Moreover, the stochastic boundedness of closed-loop system is analyzed.