Optimal Repair Rate for a Repairable Machine with Nonlinear State Equation

This work deals with two models of a single machine subject to breakdowns. The first model is binary-state while the second one multi-state model. Breakdowns are followed by repairs. systems under study tracking type. We use nonlinear predictive control determine optimal repair rates that keep variables as close possible their target. Numerical illustrations sensitivity analysis used assess effect system parameters on solution.