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Delay-Dependent Guaranteed Cost Control for T-S Fuzzy Systems With Time Delays

机译:时滞T-S模糊系统的时滞相关保证成本控制

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摘要

This study introduces a guaranteed cost control method for nonlinear systems with time-delays which can be represented by Takagi-Sugeno (T-S) fuzzy models with time-delays. The state feedback and generalized dynamic output feedback approaches are considered. The generalized dynamic output feedback controller is presented by a new fuzzy controller architecture which is of dual indexed rule base. It considers both the dynamic part and the output part of T-S fuzzy model which guarantees that the controller without any delay information can stabilize time-delay T-S fuzzy systems. Based on delay-dependent Lyapunov functional approach, some sufficient conditions for the existence of state feedback controller are provided via parallel distributed compensation (PDC) first. Second, the corresponding conditions are extended into the generalized dynamic output feedback closed-loop system via so-called generalized PDC technique. The upper bound of time-delay can be obtained using convex optimization such that the system can be stabilized for all time-delays whose sizes are not larger than the bound. The minimizing method is also proposed to search the suboptimal upper bound of guaranteed cost function. The effectiveness of the proposed method can be shown by the simulation examples.
机译:本研究介绍了一种具有时滞的非线性系统的有保证成本控制方法,该方法可以用具有时滞的Takagi-Sugeno(T-S)模糊模型表示。考虑了状态反馈和广义动态输出反馈方法。广义动态输出反馈控制器由具有双索引规则库的新型模糊控制器体系结构提出。它同时考虑了T-S模糊模型的动态部分和输出部分,这保证了没有任何延迟信息的控制器可以稳定时滞T-S模糊系统。基于依赖于延迟的李雅普诺夫函数方法,首先通过并行分布补偿(PDC)为状态反馈控制器的存在提供了一些充分条件。其次,将相应的条件通过所谓的广义PDC技术扩展到广义动态输出反馈闭环系统中。可以使用凸优化来获得时延的上限,以便可以对尺寸不大于该时限的所有时延稳定系统。还提出了最小化方法来寻找保证成本函数的次优上限。仿真实例表明了该方法的有效性。

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