Memory characteristics-based generalized fuzzy dissipative robust control for multiple delayed uncertain jump systems. (English) Zbl 1536.93504
Summary: This work researches memory characteristics-based generalized fuzzy dissipative control for multiple delayed uncertain jump systems. The main aim is to design a memory characteristics-based generalized fuzzy dissipative controller by a novel method of decomposing free weight matrices. And the designed controller can ensure that the closed-loop multiple delayed uncertain fuzzy jump systems achieve robustly stochastic stabilization and strict dissipativity in the desired interval. The uncertain parameters can also be represented by the known matrix after the decomposition of the free weight matrix. Based on linear matrix inequalities, the sufficient conditions are obtained for solving memory characteristics-based generalized fuzzy dissipative control problem. A single-link robot arm model is represented as multiple delayed uncertain fuzzy jump system by Takagi-Sugeno fuzzy set approach, and it is used to manifest the effectiveness and usefulness of the proposed method.
MSC:
| 93C42 | Fuzzy control/observation systems |
| 93B35 | Sensitivity (robustness) |
| 93C43 | Delay control/observation systems |
| 93C85 | Automated systems (robots, etc.) in control theory |
Keywords:
generalized fuzzy dissipative control; multiple delayed uncertain jump systems; memory characteristics; robust stochastic stabilization; strict dissipativity; single-link robot armReferences:
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