Research ArticleSwitching robust control for ozone generators using the attractive ellipsoid method

- A novel control design for ozone generator is proposed using a particular application of the invariant ellipsoid method.
- The proposed controller generates an admissible linear state feedback control law that guarantees the existence of a minimal size attractive ellipsoid for the closed-loop system.
- These results are developed under a dwell-time framework for the switching signal.
- An auxiliary non-linear minimization problem with matrix constraints should be solved.
- The robust controller design is solved by an optimization problem subject to LMI-constraints.

This paper deals with a switching robust tracking feedback design for a corona-effect ozone generator. The generator is considered as a switched systems in the presence of bounded model uncertainties as well as external perturbations. Three nonlinear dynamic models under arbitrary switching mechanisms are considered assuming that a sample-switching times are known. The stabilization issue is achieved in the sense of a practical stability. We apply the newly elaborated (extended) version of the conventional attractive ellipsoid method (AEM) for this purpose. The same analysis was efficient to obtain the minimal size of region where the tracking error between the trajectories of the ozone generator and reference states converges. The numerically implementable sufficient conditions for the practical stability of systems are derived based on bilinear matrix inequalities (BMIs).