Discretizing Continuous-time Controllers via Annealing Robust Walsh Function Networks

In this paper, a new method, applied the annealing robust Walsh function networks, is proposed to discretize the continuous-time controller in computer-controlled systems. That is, the annealing robust Walsh function networks are used to add nonlinearly and to approximate smooth controller with digital neural networks. Hence, the proposed controller is a new smooth controller that can replace original controller and independent of the sampling time under the Sample Theorem. Besides, the input-output stability is proposed for this discretizating continuous-time controller with the annealing robust Walsh function networks. Consequently, the proposed annealing robust Walsh function networks controller cannot only discretize the continuous-time controllers, but can also tolerate a wider range of sampling time uncertainty.