Adaptive non-fragile sliding mode control for switched semi-Markov jump system with time-delay and attack via reduced-order method. (English) Zbl 1511.93029
Summary: In this paper, the stability control of nonlinear switched semi-Markovian jump systems (S-MJSs) with false data injection attack and general uncertain transition rate (TR) is studied. General uncertain TR includes two cases: one is completely unknown, the other is not completely known. For unknown network attacks and nonlinearity, adaptive parameters are used to estimate these unknown terms. Then, a reduced-order adaptive sliding mode control (SMC) law is generated via the reduced-order theory, and non-fragile control is introduced to improve the effectiveness of the controller. On this basis, the finite time accessibility of the sliding mode surface and the stability of the closed-loop system are ensured by designing suitable Lyapunov functionals. Finally, simulation results show the effectiveness of the proposed method.
MSC:
| 93B12 | Variable structure systems |
| 93E15 | Stochastic stability in control theory |
| 93E35 | Stochastic learning and adaptive control |
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