Stabilization and tracking control for a class of discrete-time nonlinear systems

In this paper, the problem is considered for stabilization and tracking control for discrete-time Lipschitz nonlinear systems. This study provides a methodology to deal with a general case of discrete-time nonlinear systems, which fulfill the Lipschitz nonlinearity condition. Due to the superior performance and extreme versatility of digital controllers, a discrete-time control approach is proposed with state feedback technique and bi-linear matrix inequalities (BMIs) for nonlinear systems to achieve, the stabilization and tracking control objectives. For a class of Lipschitz nonlinear systems, a global asymptotic stability is ensured for system states as well as output tracking with very small steady state error. In the support of proposed methodologies, two simulation examples of nonlinear systems are provided.