Design of a new model predictive control for Lipschitz non-linear delayed switched systems with application to water pollution system

An important area for future study on switched systems is the construction of model predictive control for non-linear delayed switched systems with the Lipschitz structure. This study develops a switched Lyapunov–Krasovskii functional and model predictive control approach for the non-linear delayed Lipschitz switched systems under arbitrary switching signal for asymptotically stabilizing the closed-loop system. The non-convex optimization issue is phrased as a linear matrix inequality optimizing problem, and a set of novel stability requirements was derived under the assumption that the cost function has an indefinite prediction horizon and input constraints. The success of the suggested plan is then evaluated using a computer simulation of a system that causes water pollution. The outcomes support the planned scheme’s successful performance.