Quantized MPSC for switched systems based on permissible type-switching mechanism

The investigation of the mixed time/event-triggered quantized model predictive security control (MPSC) for switched systems with DoS attacks is the emphasis of our study. To lessen the DoS attacks’ impact, a unique structure that combines a network loop and a local loop is adopted. The operation sequence of permissible controllers coordinated by the permissible type-switching mechanism (PTM) is further designed. To handle the effect of limited bandwidth and save network communication resources, a time-varying uniform quantization rule and a mixed time/event-triggered scheme are designed. Meanwhile, a buffer is introduced in the observer, and the stored predicated observation data in which will be used to update the observer state with different weighting coefficients when DoS attacks occur. By introducing a new coefficient into the performance index, the upper bound of which is obtained. Then the model predictive control (MPC) design is transformed into an optimization problem minimizing such constant upper bound. On this basis, the sufficient conditions are deduced for the exponential convergence of closed-loop systems. Ultimately, two systems are adopted to testify the effectiveness of the proposed method, and the optimal weighting coefficients which guarantees the fast system convergence speed are obtained for the specific system.