Backstepping Control of Discrete-Time Nonlinear System Under Unknown Dead-zone Constraint

This paper proposes the adaptive back stepping controller for a class of nonlinear discrete-time systems in strict-feedback form with unknown dead-zone using neural networks. The control design is attained by introducing the dead-zone nonlinearity and using it in the controller design with back stepping technique. A dead-zone inverse is developed to compensate the dead-zone effect in nonlinear systems. In this scheme, Chebyshev Neural Network (CNN) is used to approximate the unknown nonlinear functions and also used to compensate the dead-zone nonlinearity. New weight updates laws are derived to guarantee uniform ultimate boundedness (UUB) for all signals in closed loop system.