Asymptotically tracking and dynamic regulation of SISO nonlinear system based on multi-dimensional Taylor network controller

This paper deals with the problem of output feedback control of SISO nonlinear systems based on the multi-dimensional Taylor network (MTN) controller. It adopts the MTN controller as a network structure controller and the differential geometry as an analysis tool. It proves that, when the given conditions are met, the reference signal can be asymptotically tracked by the MTN controller. And also, it proves the MTN controller can realize the closed-loop system dynamic regulation. Finally, an example is given to prove the correctness of above.