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摘要: 针对一类多自由度机械系统, 研究了基于状态估计的摩擦模糊建模与鲁棒自适应控制问题. 提出用模糊状态估计器估计摩擦模型中的不可测变量, 并用严格正实和李雅普诺夫稳定性理论证明了状态估计误差的一致最终有界性. 运用模糊状态估计结果设计了多变量鲁棒自适应控制器, 其中摩擦模糊模型中的自适应参数是基于李雅普诺夫稳定性理论设计的, 并证明了闭环系统跟踪误差的一致最终有界性. 本文对多自由度质量、弹簧和摩擦阻尼系统进行的仿真, 结果表明所提出的状态估计算法和自适应控制策略是有效的.Abstract: This paper develops a fuzzy state estimate-based robust adaptive control scheme for a class of mechanical systems with multiple degrees of freedom. The unmeasurable state variables used in both modeling friction force and adaptive controller design are estimated by a fuzzy estimator. By strictly positive real lemma and Lyapunov stability theory, the ultimately uniform boundedness of the state estimation errors is ensured. This paper also proposes a multivariable robust control algorithm using the estimated states and adaptive fuzzy friction mode, where the updating rule for parameter adjustment in the fuzzy friction model is derived by Lyapunov theory. It is shown that the tracking error of the closed-loop system is ultimately uniformly bounded (UUB). A mass-spring-damping system with multiple degrees of freedom is employed in the simulation studies. Simulation results demonstrate the effectiveness of our proposed state-estimate based fuzzy friction modeling and adaptive control strategy.
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Key words:
- Friction model /
- state estimate /
- fuzzy modeling /
- adaptive /
- robust control
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