Decentralized model-reference adaptive control for a class of uncertain large-scale time-varying delayed systems with series nonlinearities. (English) Zbl 1136.93434
Summary: In this paper, the problem of model-reference adaptive control for large-scale time-varying delayed systems with series nonlinearities is investigated. By applying the theory of variable structure control, we propose an adaptive controller, which is both memoryless and decentralized, to derive the error subsystem between the local model state and plant state to zero. The proposed variable structure control is able to ensure the stability of a sliding manifold of the composite system even though the control input is nonlinear. The main difficulty for handling the effects of interconnected terms is well solved by a new proposed adaptation mechanism. Finally, a numerical example is illustrated to demonstrate the validity of the derived controller.
MSC:
| 93D21 | Adaptive or robust stabilization |
| 93A14 | Decentralized systems |
| 93C40 | Adaptive control/observation systems |
| 93C10 | Nonlinear systems in control theory |
| 93B12 | Variable structure systems |
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