engleski

On Operating Envelope Protection Design for Nonlinear Discrete-time Systems

This paper is concerned with the operating envelope protection design for a broad class of nonlinear discrete-time systems based on a Robust Control Invariant (RCI) set framework. Existing techniques for a direct design of a RCI set for a general system suffer from the computational intractability connected with the complexity of a system model and model dimension. For a nonlinear system with mild assumptions on its model here we use a suitably defi ned linear model with additive uncertainty con fined in a fi nite set and its corresponding maximum RCI set. Robust constraints satisfaction for the original system is ensured for a pre-de fined set of disturbance trajectories. The approach is based on a superposition of a nominal and perturbed dynamics, whereas the coupling effects between respective dynamics are encompassed with the additive uncertainty. The additive uncertainty set is estimated by employing the trajectories of disturbance and a system description. The presented approach is scalable with respect to the system dimension. A simple example from the wind energy field is used to illustrate the proposed method.

operating envelope protection, (maximum) robust control invariant set, disturbance trajectories, superposition, linear model, additive uncertainty, envelope model, estimation, wind turbine

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