一类关联不确定离散系统的分散保性能控制

Decentralized guaranteed cost control of a class of interconnected uncertain discrete-time systems

结合一个给定的二次型性能指标 ,研究一类关联不确定离散大系统的分散保性能状态反馈控制器设计问题 .采用线性矩阵不等式处理方法 ,导出了分散控制器存在的条件 ,并给出了一组分散保性能控制器的参数化表示 ,据此 ,通过建立和求解一个凸优化问题给出了使得闭环性能指标的上界最小化的最优分散保性能控制器设计方法 .

This paper focuses on the design problem of decentralized guaranteed cost state feedback controllers for a class of interconnected uncertain discrete-time systems and a given quadratic cost function. By using the linear matrix inequality (LMI) approach, sufficient conditions for the existence of the decentralized controllers are derived, and a parametrized characterization of a set of decentralized guaranteed cost controllers (if they exist) is provided. Furthermore, a convex optimization problem is formulated to select the optimal decentralized guaranteed cost controller which minimizes the upper bound of the closed-loop cost function.