A multi-dimensional Taylor network (MTN)-based approach for nonlinear stochastic systems tracking control

The problem of tracking control for stochastic nonlinear systems is investigated in this paper. Because of the randomness and nonlinearity of stochastic nonlinear systems, the existing methods are sometimes difficult to achieve the desired tracking performance. In this paper, a new network controller (multi-dimensional Taylor network) is proposed, which only relies on the output of system. Firstly we give the structure of multi-dimensional Taylor network (MTN), and then prove the MTN has a good approximation performance. Secondly, Design a MTN control strategy relying on the system output, which will guarantee the tracking of system output to desired output. An example is given to illustrate the effectiveness of the proposed design approach.