A Stabilizing Feedback of an Uncertain Control System

摘要

A nonlinear control system, describing the continuous methane fermentation is considered. By means of a nonlinear coordinate change the control system is transformed into an equivalent form, involving only measurable quantities of the real process. Assuming that the parameters of the model are not exactly known but bounded within intervals, the set of optimal static points according to a practical criterion is computed. A continuous feedback control is proposed, which stabilizes asymptotically the dynamic system towards a reasonable subregion of this set. Outputs from computer simulation in Maple are also reported.