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首页> 外文期刊>IEEE Transactions on Fuzzy Systems >Reachable Set Estimation and Decentralized Controller Design for Large-Scale Nonlinear Systems With Time-Varying Delay and Input Constraint
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Reachable Set Estimation and Decentralized Controller Design for Large-Scale Nonlinear Systems With Time-Varying Delay and Input Constraint

机译：具有输入时滞和时变时滞的非线性系统的可到达集合估计和分散控制器设计

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摘要

This paper investigates the problem of reachable set estimation and decentralized controller design for large-scale nonlinear systems, where time-varying delays and nonlinearities appear in interconnections connected to other subsystems. The Takagi-Sugeno model is used to describe each nonlinear subsystem. The aim of this paper is to design a decentralized state-feedback fuzzy controller such that the reachable set of the resulting closed-loop system with input constraint is bounded by an intersection of ellipsoids. First, a model transformation is proposed to reformulate the closed-loop system as several feedback interconnections with extra inputs and outputs. Then, based on a combined application of the Lyapunov-Krasovskii functional and the scaled small-gain theorem, the input-output approach is developed for the reachable set estimation and synthesis. Several conditions for the existence of a decentralized state-feedback fuzzy controller that ensures an ellipsoidal bound of reachable sets for the closed-loop system with input constraint are derived in terms of linear matrix inequalities. Finally, two numerical examples are given to validate the effectiveness of the proposed strategy.
机译：本文研究了大型非线性系统的可达集估计和分散控制器设计问题，其中时变延迟和非线性出现在与其他子系统连接的互连中。 Takagi-Sugeno模型用于描述每个非线性子系统。本文的目的是设计一种分散的状态反馈模糊控制器，以使具有输入约束的所得闭环系统的可达集受到椭球的交集的限制。首先，提出了模型转换，将闭环系统重新构造为具有额外输入和输出的多个反馈互连。然后，基于Lyapunov-Krasovskii泛函和标度小增益定理的组合应用，开发了用于可达集估计和综合的输入输出方法。根据线性矩阵不等式，推导出存在分散状态反馈模糊控制器的几个条件，以确保具有输入约束的闭环系统的可达集的椭圆边界。最后，通过两个数值例子验证了所提策略的有效性。

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