This paper investigates a resilient model predictive control scheme for switched systems governed by sojourn probabilities under multi-channel Denial-of-Service (DoS) attacks. Considering that control signals transmitted through different channels may be subject to DoS attacks from distinct adversaries, multiple Markov chains are employed to characterize these attack patterns. To address the complexity introduced by multiple Markov chains in controller design, a mapping technique is proposed to aggregate them into a single Markov chain that simultaneously reflects the status of individual DoS attacks. Furthermore, a dynamic resilient controller is designed to counteract random perturbations in controller gains, enabling online fine-tuning of system control performance. The introduced decision variable effectively enlarges the initial feasible region. Finally, a series of optimization problems are formulated to achieve desired system performance. The effectiveness of the proposed algorithm is validated through an application to an F-404 engine system.

This paper investigates the asynchronous PID control problem of switched systems under denial-of-service (DoS) attacks and proposes a collaborative framework combining a resilient adaptive event-triggering protocol (RAETP) and robust model predictive control (RMPC). In response to the limitations of the traditional Bernoulli-type DoS attack model, a variable-frequency DoS attack model is innovatively introduced, which describes the dynamic uncertainty of the attack frequency through a random variable, thereby enhancing the ability to characterize real-world network threats. Based on the switching mechanism of piecewise homogeneous sojourn probabilities, an asynchronous PID-RMPC controller is designed, which uses time-varying mode estimation probabilities to compensate for the mode mismatch caused by attacks, and the mean square stability conditions of the closed-loop system are rigorously derived. Simulation experiments show that the proposed RAETP can increase the effective data transmission rate under attacks compared with the static event-triggered (SETP) protocol, and the PID-RMPC strategy has achieved rapid convergence and robust stability in two simulation examples, verifying the engineering applicability of the theoretical method.