A Novel Low-Conservative Constrained H∞ Model Predictive Control for Linear Switched Systems

The problem of unacceptable conservatism and the lack of disturbance consideration are important research gaps for model predictive control (MPC) schemes in linear switched systems (LSSs). To solve these challenges, this study develops, for the first time, an organized strategy of MPC and persistent dwell time (PDT) structure for LSSs through multiple Lyapunov functions (MLFs) to dramatically reduce conservatism. Additionally, exogenous perturbations are considered in the system dynamics, and the H∞ performance is ensured to reduce the effects of the perturbations. Assuming the input constraints as well as the aforementioned assumptions, the proposed scheme is designed through MLFs, and asymptotic stability is proved. Finally, the effectiveness of the suggested strategy for the target systems is investigated through the numerical simulation of two examples. The simulation results suggest the stated strategy for real systems.