Adaptive observer-based global sliding mode control for uncertain discrete-time nonlinear systems with time-delays and input nonlinearity. (English) Zbl 1432.93057
Summary: 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.
MSC:
| 93B12 | Variable structure systems |
| 93D09 | Robust stability |
| 93C40 | Adaptive control/observation systems |
| 93C41 | Control/observation systems with incomplete information |
| 93C55 | Discrete-time control/observation systems |
| 93C43 | Delay control/observation systems |
| 93C10 | Nonlinear systems in control theory |
Keywords:
sliding mode control (SMC); discrete-time nonlinear system; time-delay; linear matrix inequality (LMI)References:
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