Robust sliding mode control for uncertain discrete singular systems with time-varying delays and external disturbances. (English) Zbl 1351.93035
Summary: In this paper, a Sliding Mode Control (SMC) of uncertain discrete singular systems with external disturbances and time-varying delays is under consideration. By use of the free weighting matrices and the Lyapunov-Krasovskii functional, a delay-dependent sufficient condition is given in strict Linear Matrix Inequality (LMI) format to guarantee the sliding mode dynamics to be admissible (regular, causal and stable). Furthermore, a proposed SMC law and an adaptive SMC law are synthesized to make sure that the trajectories of system can be driven to a region near equilibrium point in finite time. Finally, a numerical example is designed to display the effectiveness of the control scheme. All these results are expected to propose a new approach for the research on SMC of discrete time-delay singular systems.
MSC:
| 93B12 | Variable structure systems |
| 93B35 | Sensitivity (robustness) |
| 93C41 | Control/observation systems with incomplete information |
| 93C73 | Perturbations in control/observation systems |
Keywords:
robust SMC; admissibility; discrete singular systems; time-varying delays; uncertain systemsReferences:
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