时变中立型系统的鲁棒稳定性与自适应控制

Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304) Pub Date : 1999-12-07 DOI:10.1109/CDC.1999.833283

Erik I. Verriest

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引用次数: 16

摘要

推广了Lyapunov-Krasovskii理论，得到了线性中立型系统鲁棒稳定(与时滞无关)的充分条件。导出了一类利卡蒂方程，将正定矩阵的三重存在性与鲁棒稳定性联系起来。通过允许延迟本身的时间依赖性，可以扩展先前的结果。该方法很容易适用于状态反馈和输出反馈下的稳定性条件的设计，是一种卓有成效的方法。由于存在性证明是建设性的，它们产生规定性的稳定收益。给出了在中性系统MRAC设计中的应用。

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Robust stability and adaptive control of time-varying neutral systems

The Lyapunov-Krasovskii theory is extended to obtain sufficient conditions for the robust stability (independent of the delay) of linear neutral systems. Riccati-like equations are derived, relating the existence of a triple of positive definite matrices to the robust stability. By allowing time dependence of the delay itself, earlier results are extended. The approach is fruitful as it is readily adaptable to the design of stabilizability conditions under state and output feedback. As the existence proofs are constructive, they yield prescriptive stabilizing gains. An application to MRAC design for neutral systems is shown.

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Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)

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