关键词：非线性离散时间系统；非线性控制器；滑模控制
摘 要：This chapter considers sliding mode control of nonlinear discrete time systems with matching perturbations. The nonlinear sliding mode controller, whose parameters assure the closed-loop system stable, is designed in order to drive the state trajectories toward to a small bounded region. The controller is approximated by a polynomial equation in current control term u(k) according to Taylor series expansion. The algebraic solutions can be obtained by resolving a polynomial equation in the latest control term u(k). The integrated procedure provides a straightforward methodology to apply sliding mode control design technique for nonlinear systems. The simulation results are provided to illustrate the effectiveness of the proposed scheme.