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Robust reliable H-infinity control for fuzzy systems with random delays and linear fractional uncertainties

机译：具有随机延迟和线性分数不确定性的模糊系统的鲁棒可靠的H无限控制

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摘要

This article studies the reliable robust stabilization problem for a class of uncertain Takagi-Sugeno (TS) fuzzy systems with time-varying delays. The delay factor is assumed to be random delay which belongs to a given interval and parameter uncertainties are considered with linear fractional transformation form. By implementing a proper novel Lyapunov functional together with linear matrix inequality (LMI) approach, a new set of delay-dependent sufficient conditions is derived to guarantee the asymptotic stability of TS fuzzy system with a prescribed H-infinity performance index. Further, a reliable robust H-infinity control design with an appropriate gain matrix has been derived to achieve the robust asymptotic stability for uncertain TS fuzzy system. Further, Schur complement and Jensen's integral inequality are used to simplify the derivation in the main results. The set of sufficient conditions is established using the relationship among the random time-varying delay and its lower and upper bounds, which can be easily solved by MATLAB LMI toolbox. Finally, an illustrative example based on the truck-trailer model is provided to show the effectiveness of the proposed new design technique. (C) 2015 Elsevier B.V. All rights reserved.
机译：本文研究了一类具有时变时滞的不确定Takagi-Sugeno（TS）模糊系统的可靠鲁棒镇定问题。假定延迟因子是随机延迟，它属于给定的间隔，并且参数不确定性以线性分数变换形式考虑。通过实施适当的新颖的Lyapunov泛函以及线性矩阵不等式（LMI）方法，导出了一组新的依赖于延迟的充分条件，以保证具有规定的H-无穷大性能指标的TS模糊系统的渐近稳定性。此外，已经推导了具有适当增益矩阵的可靠鲁棒H无限控制设计，以实现不确定TS模糊系统的鲁棒渐近稳定性。此外，使用舒尔补码和詹森积分不等式来简化主要结果的推导。利用随机时变延迟及其上下限之间的关系来建立一组充分条件，这可以通过MATLAB LMI工具箱轻松解决。最后，提供了一个基于卡车-拖车模型的说明性示例，以显示所提出的新设计技术的有效性。 （C）2015 Elsevier B.V.保留所有权利。

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