Finite-Time Stabilization Procedures for Discrete-Time Nonlinear Systems in Feedback Form

Abstract

New control procedures for finite-time stabilization of discrete-time nonlinear systems in the strict-feedback form are proposed. The proposed designs enjoy the properties of being dependent on one design parameter and the ability to bring the state vector to the origin in finite time. Moreover, the settling-time functions are estimated in terms of the initial state vector and the unique design parameter that regulates the rate of the finite-time convergence. Finally, a trajectory-tracking control algorithm is presented and approved by numerical simulations. The simulation results have shown the excellent performance of the closed-loop system for different values of the free design parameter.

Keywords

• Nonlinear discrete systems
• finite-time stability and stabilizability
• trajectory tracking
• system theory