含有不确定性的非线性互联系统的鲁棒分散H∞控制

摘要

This paper investigates the problem of robust H∞ decentralized control for nonlinear interconnected systems with uncertainty via state feedback and output feedback, respectively. We establish the interconnection between the robust nonlinear H∞ control problem and the nonlinear de centralized H∞ control problem. Based on this conne ction, a sufficient condition for the existence of a solution to the robust nonl inear decentralized H∞ control via state feedback and via output feedback con trol problem is derived in terms of a set of Hamilton-Jacobi inequalities. We a ddress the problem of designing a decentralized cotroller via state feedback and output feedback to guarantee that the L2-gain of the mapping from the exogenous input noise to the penalty output is less than or equal to a prescribed value.%讨论了含有不确定性非线性互联系统的鲁棒分散H∞控制问题,建立了鲁棒H∞控制与H∞控制之间的联系.在这种联系基础上,基于Hamilton-Jacobi不等式给出了含有不确定性互联系统的鲁棒分散H∞控制问题存在的充分条件.分别构造出状态反馈和输出反馈分散控制器以确保闭环系统从外部干扰输入到控制输出的L2增益小于或等于一预先给定的正数.