Event-triggered model predictive control for switched systems: a memory-based anti-attack strategy

Design of a robust model predictive control for nonlinear switched systems: A low‐conservative and recursive feasibility strategy

“…Therefore, the switching signal applied to the system should be predicted at the predictive horizon ($$$ \sigma \left(k+L|k\right) $$$). Based on the works developed by Yuan et al, 27 Zheng, 28 Qi et al, 30 and Qi et al, 31 the best strategy for predicting the switching signal in the stabilizable sub‐systems is to assume that the predictive switching signal is constant at the infinite predictive horizon ($$$ \sigma \left(k+L|k\operatorname{}\right)=\sigma \left(k|k\operatorname{}\right),\mathrm{L}=\infty $$$). Also, according to the idea developed in this article, the best strategy for predicting the switching signal in the unstabilizable sub‐systems is to assume that the predictive switching signal is constant at the maximum allowed predictive horizon ($$$ \sigma \left(k+L|k\operatorname{}\right)=\sigma \left(k|k\operatorname{}\right),\mathrm{L}=\mathrm{constant} $$$).…”

“…Finally, the LMI form of inequality ( 31) is obtained. Pre and post-multiplying the inequality (31) by 𝜂 i,k X i,k , respectively, we have:…”

“…An ADT structure and PLF were utilized to extract the H∞ performance constraints in the framework of an LMI optimization problem. An event‐triggered based H∞ MPC scheme was suggested by Qi et al 31 for networked linear switched system with ADT structure using MLF to counter the denial of service attacks. Tan et al 32 investigated a switched MPC scheme for a class of constrained linear switched system with minimum DT structure.…”