Adaptive Observer-Based Global Sliding Mode Control for Uncertain Discrete-Time Nonlinear Systems with Time-Delays and Input Nonlinearity

作者：Pai, Ming-Chang^*

来源：Asian Journal of Control, 2019, 21(5): 2290-2300.

DOI：10.1002/asjc.1828

• Sliding mode control (SMC)
• discrete-time
• nonlinear system
• time-delay
• linear matrix inequality (LMI)

A new discrete-time adaptive global sliding mode control (SMC) scheme combined with a state observer is proposed for the robust stabilization of uncertain nonlinear systems with mismatched time delays and input nonlinearity. A state observer is developed to estimate the unmeasured system states. By using Lyapunov stability theorem and linear matrix inequality (LMI), the condition for the existence of quasi-sliding mode is derived and the stability of the overall closed-loop system is guaranteed. Finally, simulation results are presented to demonstrate the validity of the proposed scheme.

• 出版日期2019-9
• 单位南开大学